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  <front>
    <journal-meta><journal-id journal-id-type="publisher">NHESS</journal-id><journal-title-group>
    <journal-title>Natural Hazards and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1684-9981</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/nhess-23-329-2023</article-id><title-group><article-title>Evaluation of low-cost Raspberry Pi sensors for structure-from-motion
reconstructions of glacier calving fronts</article-title><alt-title>Evaluation of low-cost Raspberry Pi sensors</alt-title>
      </title-group><?xmltex \runningtitle{Evaluation of low-cost Raspberry Pi sensors}?><?xmltex \runningauthor{L. Taylor et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name><surname>Taylor</surname><given-names>Liam S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7916-0856</ext-link></contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Quincey</surname><given-names>Duncan J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Smith</surname><given-names>Mark W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4361-9527</ext-link></contrib>
        <aff id="aff1"><institution>School of Geography and water@leeds, University of Leeds, Leeds, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Liam Taylor (l.taylor2@leeds.ac.uk)</corresp></author-notes><pub-date><day>27</day><month>January</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>1</issue>
      <fpage>329</fpage><lpage>341</lpage>
      <history>
        <date date-type="received"><day>14</day><month>July</month><year>2022</year></date>
           <date date-type="rev-request"><day>9</day><month>August</month><year>2022</year></date>
           <date date-type="rev-recd"><day>9</day><month>January</month><year>2023</year></date>
           <date date-type="accepted"><day>17</day><month>January</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Liam S. Taylor et al.</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023.html">This article is available from https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023.html</self-uri><self-uri xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e97">Glacier calving fronts are highly dynamic environments that are becoming
ubiquitous as glaciers recede and, in many cases, develop proglacial lakes.
Monitoring of calving fronts is necessary to fully quantify the glacier
ablation budget and to warn nearby communities of the threat of hazards,
such as glacial lake outburst floods (GLOFs), tsunami waves, and iceberg
collapses. Time-lapse camera arrays, with structure-from-motion
photogrammetry, can produce regular 3D models of glaciers to monitor changes
in the ice but are seldom incorporated into monitoring systems owing to the
high cost of equipment. In this proof-of-concept study at Fjallsjökull,
Iceland, we present and test a low-cost, highly adaptable camera system
based on Raspberry Pi computers and compare the resulting point cloud data
to a reference cloud generated using an unoccupied aerial vehicle (UAV). The
mean absolute difference between the Raspberry Pi and UAV point clouds is
found to be 0.301 m with a standard deviation of 0.738 m. We find that
high-resolution point clouds can be robustly generated from cameras
positioned up to 1.5 km from the glacier (mean absolute difference 0.341 m,
standard deviation 0.742 m). Combined, these experiments suggest that for
monitoring calving events in glaciers, Raspberry Pi cameras are an
affordable, flexible, and practical option for future scientific research.
Owing to the connectivity capabilities of Raspberry Pi computers, this opens
the possibility for real-time structure-from-motion reconstructions of
glacier calving fronts for deployment as an early warning system to
calving-triggered GLOFs.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e111">Monitoring glacier calving fronts is becoming increasingly important as
climate warming changes the stability of the cryosphere. Globally, glacier
frontal positions have receded rapidly in recent decades (Marzeion et al., 2014; Zemp et
al., 2015), leading to an increased threat of glacial lake outburst floods
(GLOFs) from newly formed proglacial lakes at the glacier terminus (Tweed and Carrivick, 2015), or tsunami waves and
iceberg collapse at marine-terminating glaciers (Minowa et al., 2018). Large
ice calving events and their impact into glacial lakes can trigger violent
waves (Lüthi and Vieli, 2016) and ultimately GLOF
events if the wave goes on to overtop the impounding dam, though both the
magnitude and frequency of this phenomenon are poorly quantified owing to a
lack of appropriate monitoring (Emmer
et al., 2015; Veh et al., 2019). Satellites are able to provide
near-continuous observations of lake growth (Jawak et al., 2015), hazard
development  (Quincey et al., 2005;
Rounce et al., 2017), and, over large glaciers, calving rate (Luckman
et al., 2015; Sulak et al., 2017; Shiggins et al., 2023). However, to
measure frontal dynamics at a high spatial and temporal resolution, which is
particularly necessary over calving glaciers, monitoring requirements can
only be met by in situ sensors.</p>
      <p id="d1e114">Accurate 3D models of glaciers and their calving fronts are necessary to
fully evaluate the hazards they pose (Kääb, 2000;
Fugazza et al., 2018) and to better understand frontal dynamics (Ryan et al., 2015). Where in situ camera
sensors have been used to monitor glacier fronts as part of an early warning
system, stationary cameras have previously been used to relay regular images
to be analysed externally (Fallourd
et al., 2010; Rosenau et al., 2013; Giordan et al., 2016; How et al., 2020).
This can be useful for monitoring glacier velocity, snowfall, and calving
dynamics (Holmes et al., 2021), but remains a 2D snapshot of glacier
behaviour which only allows qualitative insights into calving volume (Bunce
et al., 2021). 3D models, on the other hand, permit more detailed analysis
and allow calving events to be quantified in size (James et al., 2014; Mallalieu et al., 2020).
Unoccupied aerial vehicles (UAVs) have been used regularly to capture
high-resolution 3D models of glacier fronts  (Ryan
et al., 2015; Bhardwaj et al., 2016; Chudley et al., 2019), but, as yet,
these systems are not autonomous and are therefore dependent on an operator
being present, as well as often being highly expensive (many thousands of
dollars), including the staff-based cost of revisiting these sites.</p>
      <p id="d1e117">Arrays of fixed cameras can be positioned around a glacier front to capture
images repeatedly over long time periods. The resulting imagery can then be
used to photogrammetrically generate 3D models at a high temporal resolution
and analyse change over days, months, or years. Off-the-shelf time-lapse
cameras provide some of the cheapest ways of reliably collecting imagery for
repeat photogrammetry and have been deployed at Russell Glacier, Greenland,
to monitor seasonal calving dynamics (Mallalieu et al., 2017). Elsewhere in
glaciology, time-lapse arrays using more expensive DSLR-grade cameras have
been used for repeat structure-from-motion (SfM) to quantify ice cliff melt
on Langtang Glacier at high spatial resolution (Kneib et al., 2022). In other
disciplines, time-lapse arrays for SfM have been used to monitor the soil
surface during storms (Eltner et al., 2017), the stability
of rock slopes  (Kromer et al., 2019), and the
evolution of thaw slumps (Armstrong et al., 2018), for
example. The key limitation of these studies, and this setup design, is that
a site revisit is necessary to collect data, and analysis is therefore far
from real-time. Autonomous photogrammetry, whereby 3D models are created
with no user input, is still in its infancy but shows great promise, with
machine learning used to optimize camera positions (Eastwood et al., 2020), point cloud stacking to
enhance time-lapse photogrammetry  (Blanch
et al., 2020), and user-friendly tool sets for monoscopic photogrammetry (e.g. PyTrx (How et al., 2020), ImGRAFT (Messerli and
Grinsted, 2015) and EMT (Schwalbe and Maas, 2017)). Real-time data
transmission is the next step in autonomous time-lapse photogrammetry, but
trail cameras with cellular connectivity are many hundreds of dollars per
unit, rendering this setup unaffordable for most monitoring schemes.</p>
      <p id="d1e120">Raspberry Pi computers are small, are low cost, and were designed with the
intention of teaching and learning programming in schools. Their ease of use
and affordability means they have also been used extensively as field
sensors in the geosciences (Ferdoush and Li, 2014) as
the quality of their camera sensors have developed to a science-grade level (Pagnutti et al., 2017). In hazard
management, Raspberry Pi cameras have been used as standalone monitoring
systems to complement wider internet-of-things (IoT) networks (Aggarwal et al., 2018) and attached to UAVs to produce
orthophotographs (Piras et al., 2017). In
glacierized environments, the durability, low cost, and low power
requirements of Raspberry Pis means they have been used to complement sensor
networks, such as controlling the capture of DSLR-grade time-lapse cameras
(Carvallo et al., 2017; Giordan et al.,
2020) or as a ground station for UAV-based research (Chakraborty et al., 2019). However, to our knowledge,
Raspberry Pis and low-cost camera modules have never been the focus of a
glaciology investigation and their potential for SfM in the wider
geosciences has yet to be fully realized. In addition, the flexibility
provided by a fully programmable sensor could offer geoscientists the
ability to tailor data acquisition and perform low-level in-field
processing.</p>
      <p id="d1e124">The aim of this study was, therefore, to evaluate the quality of Raspberry
Pi imagery for photogrammetric processing, with a view to incorporating
low-cost, high functionality sensors in glacier monitoring systems. Given
that the highest accuracy glacier front 3D models gathered from
photogrammetry are derived from UAV imagery (typical horizontal uncertainty
of 0.12 m (0.14 m vertical) even in the absence of ground control points (Chudley et al.,
2019)), we chose to use a UAV-based point cloud as our primary reference
dataset. We intensively deployed both sensor systems (ground-based Pis and
aerial UAV) at Fjallsjökull, Iceland, over a four-day period. As a
secondary objective, we also sought to understand the limitations of
Raspberry Pi by deploying Raspberry Pi sensors at a range of distances to
the glacier front and removing images in the processing of point clouds to
identify the fewest frames necessary for generating accurate 3D models.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><?xmltex \opttitle{Study site -- Fjallsj\"{o}kull, Iceland}?><title>Study site – Fjallsjökull, Iceland</title>
      <p id="d1e143">Fjallsjökull is an outlet glacier of Öræfajökull, an
ice-covered volcano to the south of the wider Vatnajökull ice cap, in
south-east Iceland (Fig. 1). Recession and thinning of Fjallsjökull
has been underway since the end of the Little Ice Age, but has substantially
accelerated in recent decades owing to climate warming (Howarth
and Price, 1969; Chandler et al., 2020). Fjallsjökull terminates in a
large (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> proglacial lake – Fjallsárlón –
which is also increasing in size as Fjallsjökull recedes
(Schomacker, 2010). Calving of Fjallsjökull is
regular and has increased in frequency in recent decades as the glacier has
accelerated, driven by the expansion of Fjallsárlón
(Dell et al., 2019). As of September 2021, the calving
face of Fjallsjökull was approximately 3 km wide, with <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> km of this accessible from a boat (the northernmost 600 m had large,
stationary icebergs which were dangerous to navigate; see Fig. 1). We
selected Fjallsjökull as a study site due to its accessibility, ability
to conduct surveys from boat and shoreline, and variation in calving margin
heights (ranging from <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> m) to test
the performance of our camera system under a diverse range of glaciological
settings.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e200">Fjallsjökull (flowing left-to-right), terminating in
Fjallsárlón, captured by Planet Imagery on 10 September 2021.
A–H denote the eight point cloud sub-sections generated by both the
Raspberry Pi and UAV. X–Y denote the start and end of land-based data
collection at approximately 25 m intervals along the shoreline, used to
generate sub-section B from a distance.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Hardware and survey details</title>
      <p id="d1e217">We tested the Raspberry Pi high quality camera module with a 16 mm telephoto
lens in comparison to images taken from a DJI Mavic 2 Pro UAV. We also
tested the Raspberry Pi camera module V2 (of lower resolution, but a cheaper
option), due to its science-grade radiometric calibration (Pagnutti et al., 2017), but initial tests
indicated the quality of the long-range imagery was too low to proceed with
generating 3D data. The Raspberry Pi camera was attached to a Raspberry Pi
4B computer with an LCD display to visualize images, and adjust focus, as
they were captured. Technical comparisons of the setups are given in Table 1, and a list of components and our code for acquisition is given as
Supplementary Information.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e223">Comparison of technical specifications between Raspberry Pi and
UAV sensors. Two typical time-lapse packages are provided as a comparison,
following the setup from Mallalieu et al. (2017), using the MMS model of
their wildlife camera to compare like-for-like connectivity with the
Raspberry Pi, and  Kienholz et al. (2019). The Raspberry Pi high quality camera module is fitted with a 16 mm
telephoto lens. N/A stands for not applicable.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">DJI Mavic</oasis:entry>
         <oasis:entry colname="col4">Time-lapse trail camera</oasis:entry>
         <oasis:entry colname="col5">Typical time-lapse camera</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Raspberry Pi</oasis:entry>
         <oasis:entry colname="col3">2 Pro UAV</oasis:entry>
         <oasis:entry colname="col4">(Ltl Acorn 5210MM)</oasis:entry>
         <oasis:entry colname="col5">package (Canon Rebel T5)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Camera sensor</oasis:entry>
         <oasis:entry colname="col2">Sony IMX477</oasis:entry>
         <oasis:entry colname="col3">1” CMOS</oasis:entry>
         <oasis:entry colname="col4">Colour CMOS</oasis:entry>
         <oasis:entry colname="col5">CMOS (APS-C)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Image size (px)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mn mathvariant="normal">4056</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3040</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mn mathvariant="normal">5472</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3648</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">2560</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1920</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mn mathvariant="normal">5184</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3456</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Resolution (megapixels)</oasis:entry>
         <oasis:entry colname="col2">12.3</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">18</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Focal length (mm)</oasis:entry>
         <oasis:entry colname="col2">16</oasis:entry>
         <oasis:entry colname="col3">28</oasis:entry>
         <oasis:entry colname="col4">6</oasis:entry>
         <oasis:entry colname="col5">18–55</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Horizontal field of view</oasis:entry>
         <oasis:entry colname="col2">44.6<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">77<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">52<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">63<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Images captured</oasis:entry>
         <oasis:entry colname="col2">315</oasis:entry>
         <oasis:entry colname="col3">729</oasis:entry>
         <oasis:entry colname="col4">N/A</oasis:entry>
         <oasis:entry colname="col5">N/A</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cost</oasis:entry>
         <oasis:entry colname="col2">$120–150<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">$1,500</oasis:entry>
         <oasis:entry colname="col4">$225</oasis:entry>
         <oasis:entry colname="col5">$2600</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e226"><inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> In this study, we used a more expensive Raspberry Pi
computer (4B) in order to fit a screen for in-field monitoring of images at
a cost of USD 150, however the USD 120 cost applies to a cheaper model (Zero W).</p></table-wrap-foot></table-wrap>

      <p id="d1e499">The Raspberry Pi was mounted in a fixed position on a boat which traversed
the southernmost <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> of the <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> km
Fjallsjökull calving face, around 500 m from the glacier, while the UAV
flew above this boat (Fig. 2). The Raspberry Pi was triggered manually
approximately once every 10 seconds throughout the transect, capturing 315
images in total. While we operated the system manually herein, it is
important to note, however, that the system is also designed to trigger
autonomously at any frequency desired by the user. At the same time, the UAV
conducted two flights, capturing 729 images, ensuring no calving occurred
between collecting data from the two sensors. The UAV flew closer
(<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> m) to the glacier terminus than the boat transect to
ensure the highest possible accuracy in data collection and to keep
researchers at a safe distance to an active calving margin. This echoes
similar approaches in studies of coastal landslides (Esposito et al., 2017)
where a UAV flew closer than a boat survey to obtain the best possible
quality 3D models for sensor comparison. In the majority of images, the UAV
camera was facing the flat calving face of the glacier. While the UAV has
onboard software to autofocus images, we manually checked and altered the
focus of the Raspberry Pi camera between images during the boat transect to
ensure pictures were not blurry as the boat varied in distance from the
glacier.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e535">An overview of our data acquisition. <bold>(a)</bold> Fjallsjökull,
leading into Fjallsárlón, as of 17 September 2021. <bold>(b)</bold> Raspberry Pi on the shoreline survey. The camera was stabilized with a small
tripod, with hardware and batteries connected in a weatherproofed
receptacle. <bold>(c)</bold> Boat survey, approximately 500 m from the glacier front, as
captured by the UAV.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023-f02.jpg"/>

        </fig>

      <p id="d1e553">In order to test the limits of the Raspberry Pi, we performed additional
analysis on sub-section B (Fig. 1). We collected images of the calving
face from a portion of the shoreline of Fjallsárlón, shown as X to Y
in Fig. 1, which ranged from 1.2 to 1.5 km from the calving face. Owing to
bad weather, we only collected shoreline data for a limited section
(covering sub-section B entirely) before the glacier was obscured from view
by fog. This experiment allowed us to assess how the Raspberry Pi performed
at long-range.</p>
      <p id="d1e556">We also conducted an additional experiment on sub-section B to determine the
performance of the camera under sub-optimal conditions by removing 21 of
the 31 images captured by the boat transect and deriving point clouds from
the remaining 10 camera positions. This reflects the reality of the
trade-off between data quality and practical considerations. In theory,
fewer images should result in a lower point density (Micheletti et al., 2015), but any
time-lapse camera array produced using Raspberry Pis could be cheaper with
fewer cameras required.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Photogrammetry and M3C2</title>
      <p id="d1e567">For images from both the Raspberry Pi and UAV, far cliffs (rock faces
flanking Fjallsjökull; Fig. 2a) were masked out prior to generating
tie points in Agisoft Metashape. Images from the UAV were georeferenced
using its onboard GNSS real-time kinematic positioning (RTK) system, with an
accuracy <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m (Nota et al., 2022). Images from the Raspberry Pi
were georeferenced by aligning them to images captured by the UAV and
producing a sparse point cloud, before removing UAV images to produce the
final dense point clouds. Point clouds from both sensors were therefore
referenced to this RTK system only, rather than having a global reference
(akin to Luetzenburg et al., 2021). While the
Raspberry Pi images could be successfully aligned without UAV images, our
workflow was designed to unify the coordinate systems of the point clouds
and thereby avoid confounding co-registration errors in the cloud
comparison. Eight high quality point clouds were produced from each of the
Raspberry Pi and UAV at various stages along the calving face (locations in
Fig. 1) with a mild depth filter using Agisoft Metashape. Sub-sections
were computed at natural break points in the glacier front geometry, at
approximately 250–350 m intervals, owing to limitations in computer
processing. We then cropped point clouds to the calving face, cleaned with a
noise filter, and finely aligned the Raspberry Pi clouds to the UAV clouds
assuming a 95 % overlap in CloudCompare.</p>
      <p id="d1e580">Differences between point clouds from the Raspberry Pi and UAV were compared
using the multiscale model to model cloud comparison (M3C2) tool in
CloudCompare (Lague et al.,
2013). M3C2 calculates a series of core points from the Raspberry Pi cloud
and quantifies the distance to the UAV cloud about those points using
projection cylinders. This requires users to define key parameters,
including the width of normal (<inline-formula><mml:math id="M20" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>), projection radius (<inline-formula><mml:math id="M21" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula>), and maximum depth
of the cylinder (<inline-formula><mml:math id="M22" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>) (all parameters in metres). We followed approaches
developed by  Lague et al. (2013), and applied to glacierized environments by Westoby
et al. (2016) and Watson et al. (2017), of calculating the normal width to
take into consideration surface roughness and the scale of the model. We
used a standardized value of 0.6 m across all models as this fell within the
range of 20–25<inline-formula><mml:math id="M23" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> surface roughness for the vast majority (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> %) of points, following equations presented in Lague et al. (2013).
Projection diameter was calculated as a function of point density, so to
ensure each projection cylinder had a minimum of five points, we used a
value of 1.1 m. Finally, we set the maximum projection depth to 10 m to
exclude grossly erroneous values (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> % of all values).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Use of Raspberry Pi cameras in generating point clouds</title>
      <p id="d1e648">The Raspberry Pi-based camera captured high-resolution imagery across the
full length of Fjallsjökull, at distances of up to 1.5 km. Glacier
textures and structures, such as debris patches and cracks in the ice, were
clearly visible within the photos captured by the Raspberry Pi (see example
imagery in Fig. 3) to aid 3D reconstruction. The ground sampling distance
(GSD) (the on-ground distance represented by one pixel) of the Raspberry Pi
at 500 m range was 3.80 cm and at 1.5 km was 11.41 cm (following
calculations by O'Connor et al., 2017). By comparison,
trail cameras used by Mallalieu et al. (2017),
at a mean distance of 785 m to Russell Glacier, achieved GSD of 28.05 cm. We
successfully generated point clouds along the front face of Fjallsjökull
using the 315 Raspberry Pi photos captured from the boat survey. Eight point
clouds were generated at high resolution, with survey lengths of
<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula>–350 m each. The full range of calving face heights
observed at Fjallsjökull, from <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> m were examined in this analysis. Point clouds were largely complete, though
many were speckled in appearance.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e683">Example images captured by the Raspberry Pi sensor. Images A, B,
and C are taken from the boat transect (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> m from the
glacier front) and have an approximate field of vision of <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m, while <inline-formula><mml:math id="M31" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> is captured from the shoreline <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> km from
the glacier, with an approximate field of vision of <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> m.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023-f03.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Comparison between Raspberry Pi and UAV point clouds</title>
      <p id="d1e747">Point clouds generated by the Raspberry Pi show a close comparison to those
derived from the UAV, with a mean absolute error of M3C2 distance of 0.301 m
and a standard deviation of 0.738 m across the Fjallsjökull calving face
(Table 2, Fig. 4). Point density of all Raspberry Pi point clouds was high
(<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> cm average spacing between points), allowing small features on
the ice surface to be distinguished from <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> m away.
Extremely high M3C2 values (a threshold greater than 1 m difference between
the UAV and Raspberry Pi) are found at the far edges of the models where
fewer frames are used to produce the point clouds, and at the highest parts
of the margin (particularly prominent in panel E of Fig. 4). These values
account for 5.03 % of points (3.31 % <inline-formula><mml:math id="M36" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1 m; 1.72 % <inline-formula><mml:math id="M37" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m), and there is a slight positive skew (the Raspberry Pi is
overestimating the range to the glacier) in the error distribution with a
mean M3C2 distance of 4.31 cm (Fig. 5). The difference in colouration
between point clouds (demonstrated in Fig. 4) is likely due to the
Raspberry Pi exposure, saturation, and ISO settings all remaining as “auto”
to ensure good quality images across the transect. These settings are all
fully adjustable if a camera is placed in a fixed position.</p><?xmltex \hack{\newpage}?><?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e797">Key statistics and M3C2 comparison between point clouds generated
by the Raspberry Pi and UAV. Frontal sub-sections can be seen in Fig. 1.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Frontal</oasis:entry>
         <oasis:entry colname="col2">Points in Pi</oasis:entry>
         <oasis:entry colname="col3">Points in UAV</oasis:entry>
         <oasis:entry colname="col4">M3C2</oasis:entry>
         <oasis:entry colname="col5">M3C2 standard</oasis:entry>
         <oasis:entry colname="col6">M3C2 mean</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">section</oasis:entry>
         <oasis:entry colname="col2">cloud (million)</oasis:entry>
         <oasis:entry colname="col3">cloud (million)</oasis:entry>
         <oasis:entry colname="col4">mean (m)</oasis:entry>
         <oasis:entry colname="col5">deviation (m)</oasis:entry>
         <oasis:entry colname="col6">absolute error (m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">A</oasis:entry>
         <oasis:entry colname="col2">2.446</oasis:entry>
         <oasis:entry colname="col3">0.634</oasis:entry>
         <oasis:entry colname="col4">0.097</oasis:entry>
         <oasis:entry colname="col5">1.079</oasis:entry>
         <oasis:entry colname="col6">0.445</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">B</oasis:entry>
         <oasis:entry colname="col2">3.289</oasis:entry>
         <oasis:entry colname="col3">0.763</oasis:entry>
         <oasis:entry colname="col4">0.033</oasis:entry>
         <oasis:entry colname="col5">0.461</oasis:entry>
         <oasis:entry colname="col6">0.272</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C</oasis:entry>
         <oasis:entry colname="col2">1.793</oasis:entry>
         <oasis:entry colname="col3">0.602</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.563</oasis:entry>
         <oasis:entry colname="col6">0.253</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">D</oasis:entry>
         <oasis:entry colname="col2">1.986</oasis:entry>
         <oasis:entry colname="col3">1.322</oasis:entry>
         <oasis:entry colname="col4">0.030</oasis:entry>
         <oasis:entry colname="col5">0.760</oasis:entry>
         <oasis:entry colname="col6">0.259</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E</oasis:entry>
         <oasis:entry colname="col2">2.025</oasis:entry>
         <oasis:entry colname="col3">1.346</oasis:entry>
         <oasis:entry colname="col4">0.055</oasis:entry>
         <oasis:entry colname="col5">1.020</oasis:entry>
         <oasis:entry colname="col6">0.363</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">F</oasis:entry>
         <oasis:entry colname="col2">0.891</oasis:entry>
         <oasis:entry colname="col3">0.500</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.012</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.694</oasis:entry>
         <oasis:entry colname="col6">0.334</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G</oasis:entry>
         <oasis:entry colname="col2">2.071</oasis:entry>
         <oasis:entry colname="col3">1.472</oasis:entry>
         <oasis:entry colname="col4">0.063</oasis:entry>
         <oasis:entry colname="col5">0.640</oasis:entry>
         <oasis:entry colname="col6">0.298</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">H</oasis:entry>
         <oasis:entry colname="col2">1.276</oasis:entry>
         <oasis:entry colname="col3">1.171</oasis:entry>
         <oasis:entry colname="col4">0.048</oasis:entry>
         <oasis:entry colname="col5">0.530</oasis:entry>
         <oasis:entry colname="col6">0.229</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ALL</oasis:entry>
         <oasis:entry colname="col2">15.777</oasis:entry>
         <oasis:entry colname="col3">7.810</oasis:entry>
         <oasis:entry colname="col4">0.0431</oasis:entry>
         <oasis:entry colname="col5">0.738</oasis:entry>
         <oasis:entry colname="col6">0.301</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1085">Fjallsjökull calving face running from northernmost (A) to
southernmost (H) sections, as captured by the Raspberry Pi and UAV, and the
M3C2 distance between each. Note varying scales between each section are to
minimize white space in figure design.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1097">Histogram of M3C2 distance values across the Fjallsjökull
calving face, combining all eight sub-sections together. There is a slight
positive skew in distribution (mean 4.31 cm). M3C2 distances are cropped
here to <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> m for display purposes, but some values reach <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> m. Bin widths are 0.05 m.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Exploring the limits of Raspberry Pi cameras in producing 3D models</title>
      <p id="d1e1134">We analysed sub-section B (<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> m long) under a number of
other scenarios to explore the limits of Raspberry Pi cameras in SfM
studies. Capturing images from the shoreline of Fjallsárlón, between
1.2 and 1.5 km away from the calving face (denoted by X and Y in Fig. 1),
increased the standard deviation of M3C2 distance (0.742 m compared to 0.461
from the boat transect, a 61 % increase) and mean absolute error (0.341 m
compared to 0.272 m from the boat transect, a 25 % increase). The point
cloud itself was largely complete, though visibly more speckled than the
point cloud generated from the closer survey (Fig. 6). We observed similar
patterns of error in the point clouds captured from the shoreline as from
the boat transect, with the highest errors corresponding to ridges of jagged ice.</p>
      <p id="d1e1147">Sub-section B was generated using 31 images from the Raspberry Pi in Fig. 4 and Table 2, but time-lapse camera arrays are generally limited to 10–15 cameras due to cost. We found that using a reduced set of 10 images had
little impact on mean absolute error (0.263 m compared to 0.272 m using all
images, a 3 % decrease), but increased the standard deviation (0.627 m
compared to 0.461 m when using all images, a 36 % increase). This was most
notable towards the periphery of the point cloud (Fig. 6G), though the
point cloud contains more gaps than the original. Sub-section B is
approximately 250 m long and an individual image captures <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> m of the glacier front, which means there was a low level of overlap (2–3
images at the right hand side, which is most speckled (Fig. 6). Given the
good quality of images acquired at a greater distance, positioning cameras
further away to create more overlap between images would likely address this
speckle issue.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Raspberry Pis in SfM-based glaciology studies</title>
      <p id="d1e1177">Raspberry Pi cameras have rarely been tested in a glaciological setting, but
our analysis suggests that they could feasibly be deployed for long-term
monitoring purposes and, given their comparable quality to a UAV-derived
point cloud, have the potential to capture and quantify dynamic events (e.g. calving). Our data show that, from up to 1.5 km away, Raspberry Pi cameras
can detect small features within the ice and, when used to generated 3D
data, could identify, with confidence, any displacement of ice over
<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m in size. This also holds true for a camera setup using a
much-reduced array; our experiments using just 10 camera positions yielded
results that were largely comparable in quality to those comprising the
full-suite of data (31 camera positions).</p>
      <p id="d1e1190">Improvements to research design, such as positioning cameras at a more
optimal range of heights and angles, including above the glacier, are likely
to reduce error in the Raspberry Pi point clouds (James and Robson, 2012; Bemis et
al., 2014; Medrzycka et al., 2016; Holmes et al., 2021). A key limitation of
our research was that images were captured only from a fixed height in the
boat. Indeed, it is no coincidence that we observed the lowest errors
between the two sensors at approximately the height level of the boat across
all point clouds generated. We also speculate that systematic patterns of
error, where high positive error neighbours high negative error such as in
Fig. 6e, are due to varying angles of the glacier front being captured in
the UAV model but not in the Raspberry Pi which only acquired front-facing
images. Therefore, using a greater variety of camera angles and positions,
for example by positioning cameras above the glacier front using nearby
bedrock or moraines, would likely reduce error across the model (Mosbrucker et al., 2017; Medrzycka
et al., 2016; Holmes et al., 2021). While our setup and analysis therefore
may represent a conservative view of the potential use of Raspberry Pis in
photogrammetry, it also reflects the practical considerations of working in
field environments, which are frequently sub-optimal for deploying fixed
cameras.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1195">Exploring the limits of the Raspberry Pi sensor in comparison to
UAV. <bold>(a–c)</bold> Sub-section B as generated by <bold>(a)</bold> Raspberry Pi), <bold>(b)</bold> UAV, and <bold>(c)</bold> the corresponding M3C2 comparison. <bold>(d)</bold> Point cloud generated by Raspberry Pi
when positioned from the Fjallsárlón shoreline, at a distance of 1.2–1.5 km, and <bold>(e)</bold> corresponding M3C2 comparison with UAV. <bold>(f)</bold> Point cloud
generated by Raspberry Pi from 10 images, and <bold>(g)</bold> corresponding M3C2 comparison with UAV.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/329/2023/nhess-23-329-2023-f06.jpg"/>

        </fig>

      <p id="d1e1230">Our study used relative georeferencing methods, removing the need for
absolute positioning of the clouds using surveyed ground control points.
Over glacier calving margins, placing ground control points is especially
challenging and alternate methods are required (Mallalieu et al., 2017). For example, there
is precedent in using the geospatial data from one point cloud to reference
another when comparing sensors (Zhang et
al., 2019; Luetzenburg et al., 2021). Alternatively, the positions of the
cameras can be used to determine the georeferencing. This “direct
georeferencing” can be achieved using GNSS-based aerial triangulation of
fixed positions, or an on-board GPS unit that shares the clock of the camera
such that a precise time-stamp of location can be associated with each of
the acquired images (Chudley et al.,
2019). Using this approach would allow comparison between repeat point
clouds captured by the Raspberry Pi without any alignment to a UAV-based
point cloud. For broader photogrammetry applications of the Raspberry Pi,
particularly involving setups with only one camera, control points may be
essential in capturing the camera position accurately (Schwalbe and Maas, 2017).</p>
      <p id="d1e1233">In this study, we cropped our point clouds to show only the front, flat,
calving face of Fjallsjökull. This involved significant trimming of
point clouds generated by the UAV (up to 40 % of points removed), while
the Raspberry Pi only required minor adjustments (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % of
points removed). A key limitation of the Raspberry Pi setup in our study
design is that it cannot achieve the wide range of viewing angles and
heights as a UAV does, and so analysis is limited to the front (i.e. vertical section) of the calving face. While this means the setup can
monitor advance/retreat and calving events, the additional ability to
generate a 3D model of the top of a glacier surface could potentially
provide important information on calving dynamics, such as crevasse
formation and propagation, which could be indicative of imminent calving
(Benn et al., 2007). In previous work,
monitoring the glacier surface in addition to the calving face has enabled
the reconstruction of events leading up to major calving events, including
the calculation of strain rate and identification of propagation prior to
calving (Jouvet et al., 2017). Furthermore, other
glacier characteristics, such as surface velocity, can indicate imminent
calving but require a more top-down view of the glacier surface (Ryan et al., 2015).
Modelling a greater extent of the glacier terminus could be particularly
important if such a system was to be integrated into a GLOF early warning
system.</p>
      <p id="d1e1246">For studies making use of a typical DSLR-grade handheld camera, James and Robson (2012) and Smith et al. (2016) suggest a typical relative precision ratio of <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> – an error of 1 m when captured at a distance of 1000 m (though high-quality SfM often far
exceeds this; James et
al., 2017). At 500 m distance, we achieved a mean absolute precision of
<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1667</mml:mn></mml:mrow></mml:math></inline-formula> and at 1.2–1.5 km distance a mean of <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">978</mml:mn></mml:mrow></mml:math></inline-formula>. These values almost
match the precision thresholds set for DSLR-grade cameras and exceed the
precision achieved by similarly priced trail cameras using in glacierized
environments (Mallalieu et al., 2017). While
terrestrial laser scanners can achieve greater levels of precision for
monitoring glacier fronts (e.g. Pętlicki et al.,
2015), their high weight and cost (tens of thousands of dollars) often
precludes their use in glaciology research.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Future applications in glaciology and potential for automation</title>
      <p id="d1e1293">Glacier dynamics at a calving margin are complex, but a low-cost time-lapse
camera array can offer insight into many key questions. Ice velocities at
the terminus of Fjallsjökull range from <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m a<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for lake terminating ice (Dell et al., 2019).
Glacier frontal positions and their diurnal variability can be monitored
using this Raspberry Pi approach, as well as calving events that exceed 1 m
in depth. Calving dynamics, including characterizing different types of
calving and the impact of seasonality and lake drainage, can also be
monitored from time-lapse cameras (Mallalieu et al.,
2020) to aid in the understanding of how glacier calving contributes to the
overall mass balance of a glacier and how this fluctuates over varying
timescales  (How et al., 2019;
Bunce et al., 2021). Using time-lapse photogrammetry, it is theoretically
possible to detect precursors (rotation, elevation change, creep) to calving
events on the order of magnitude of <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m, such as observed at
Sermeq Kujalleq 65 h prior to calving (Xie et al., 2016).</p>
      <p id="d1e1338">In addition to calving events, terrestrial-based photogrammetry based on a
Raspberry Pi system could monitor other important glacier dynamics at a
low cost. There is a long history of using terrestrial photogrammetry for
monitoring glacier thinning to quantify mass balance change of mountain
glaciers, though this typically involves repeat site visits (Brecher and Thompson, 1993;
Piermattei et al., 2015). Where surrounding topography allows, positioning
Raspberry Pi cameras to look down on to the glacier surface would allow for
SfM-based velocity calculation (Lewińska et al.,
2021). Creep rates of rock glaciers have been successfully monitored through
terrestrial photogrammetry (Kaufmann, 2012) and UAV surveys
(Vivero and Lambiel, 2019), but again requiring
repeated site visits. In each of these additional applications, low-cost
Raspberry Pi cameras could produce accurate 3D models at a greater temporal
frequency, without the logistical challenges, and financial costs,
associated with repeating fieldwork.</p>
      <p id="d1e1341">Our boat-based study provides confidence that terrestrial-based, high
cadence setups could produce regular, accurate 3D models. While not
reported in these results, this author team have also successfully operated
a separate Raspberry Pi camera in the Peruvian Andes, acquiring three images
per day for 3 months using a timer switch and solar panel (Taylor,
2022). Given the customizability of Raspberry Pi cameras, their built-in
connectivity, accuracy of acquiring 3D models, and robustness in cold
environments, we are confident that arrays of fixed Raspberry Pi cameras
could produce the first near real-time photogrammetry setup for continuous
3D monitoring of glacier calving fronts. Outside of photogrammetry, the
programmability of Raspberry Pis as terrestrial cameras could offer advances
in a broad range of settings, including GLOF management (Mulsow et al.,
2015), supraglacial lake drainage (Danielson and Sharp, 2013), and iceberg
tracking (Kienholz et al., 2019).</p>
      <p id="d1e1344">We speculate that, given likely sensor innovation and the decreasing cost of
technology, the potential of low-cost sensors in glaciology research will
only increase (Taylor et al., 2021). We envisage
Raspberry Pi computers, or other microprocessors, to play a key role in this
expansion. Almost all Raspberry Pi models have built-in WiFi, which allows
data sharing between individual devices. With a WiFi radio on-site,
providing a range of many hundreds of metres, individual cameras could
autonomously send their data towards a central, more powerful Raspberry Pi
unit for further analysis. Similar wireless sensor networks in glaciology
have been produced to monitor seismicity (Anandakrishnan et al., 2022), ice surface
temperatures (Singh et al., 2018), and
subglacial hydrology  (Prior-Jones et al.,
2021). With the development of autonomous photogrammetry pipelines
(Eastwood et al., 2019), a Raspberry Pi-based camera array
system could, theoretically, run entirely independent of user input.
Furthermore, the flexibility of Raspberry Pi computers, particularly their
ability to operate multiple sensor types from one unit, opens up the
possibility for wide sensor networks across glaciers – creating
comprehensive digital monitoring of rapidly changing environments (Hart and Martinez,
2006; Taylor et al., 2021).</p>
      <p id="d1e1348">There exists considerable potential for low-cost sensors in mountain glacier
communities, which are predominantly located in developing countries. Early
warning systems situated around glacial lakes in the Himalaya have
successfully prevented disaster during a number of GLOF events by allowing
time for downstream communities to evacuate (Wang et al., 2022). By reducing the cost of
camera-based sensors that are frequently used as part of a monitoring system
(for example at Kyagar glacier in the Chinese Karakorum;
Haemmig et al., 2014), more cameras can be situated
to monitor calving rates, velocity, or stability at higher precision and
accuracy in 3D. A low cost also means that more community-driven initiatives
based on this Raspberry Pi system are viable. Such systems must be
co-designed, and ultimately owned by, the communities they serve. Simple
systems (such as Raspberry Pis), with components that are easily replaceable
and with open access documentation, lowers the technical knowledge required
to maintain an early warning system, and so a greater diversity of
stakeholders can engage with its maintenance. Previous work has shown that
diversity in engagement, and genuine understanding of the social structures
on which communities are built, is essential for the success of early
warning systems like these (Huggel et al., 2020).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Practical recommendations</title>
      <p id="d1e1359">While we suggest that Raspberry Pi cameras offer an alternative to
expensive DSLR cameras for time-lapse camera arrays, based on our
experiences we note a series of recommendations to future researchers and
communities looking to use this approach in their own systems:
<list list-type="bullet"><list-item>
      <p id="d1e1364">Camera setup must be carefully considered and adopt best practice set by
others (e.g. Mallalieu et al., 2017) with
regards to angle, overlap, and positioning.</p></list-item><list-item>
      <p id="d1e1368">Positioning cameras further away from the target (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km)
where possible can capture a wider frame of reference while remaining viable
for detecting change of magnitude <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m, so fewer cameras are
needed for an array setup.</p></list-item><list-item>
      <p id="d1e1392">There is only a narrow window of focus when using the Raspberry Pi 16 mm
telephoto lens, particularly over 1 km from the target, and an in-field
screen is essential to ensure correct setup.</p></list-item><list-item>
      <p id="d1e1396">While SfM-generated models can be produced without the use of ground control
points, such as presented here, it is advisable to collect these to produce
accurate photogrammetric measurements from a Raspberry Pi and to allow for
comparison between point clouds.</p></list-item><list-item>
      <p id="d1e1400">In the absence of an in-field screen, Secure Shell Protocol (SSH)-based access to the Raspberry Pi
can allow you to see image acquisitions on a computer screen or smartphone,
though leaving wireless connectivity enabled draws more power.</p></list-item><list-item>
      <p id="d1e1404">Raspberry Pi computers draw very little power when commanded to turn on/off
between image acquisitions and can be sustained for many months using a
lead-acid battery and small solar panel.</p></list-item><list-item>
      <p id="d1e1408">While Raspberry Pi cameras are robust and usable in sub-zero temperatures,
adequate weatherproofing must be used to ensure that the camera lens does
not fog over time.</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e1420">We conducted a photogrammetric survey along the calving face of
Fjallsjökull, Iceland, to compare a SfM point cloud generated using
imagery from low-cost Raspberry Pi camera sensors to that derived using
imagery captured from a UAV. We successfully produced point clouds along the
front of Fjallsjökull, with a mean absolute M3C2 distance between point
clouds generated by the two sensors of 30.1 cm and a standard deviation of
73.8 cm. The Raspberry Pi camera also achieved sub-metre error at distances
of 1.2–1.5 km from the glacier. This error is comparable to DSLR-grade
sensors and highlights the potential for Raspberry Pi cameras to be used
more widely in glaciology research and monitoring systems. For certain
applications, we suggest, conservatively, that Raspberry Pi sensors are
viable for detecting change of magnitude <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> m, such as calving
events and terminus advance/retreat. With WiFi capabilities within the
Raspberry Pi computer, real-time data transmission could open an avenue for
autonomous photogrammetry to enable this system to be used in warning
against geomorphic hazards. More generally, their affordability,
flexibility, durability, and ease of use makes them well-positioned to rival
more expensive time-lapse systems without compromising data accuracy, while
also enhancing the potential for autonomy and remote system management.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e1437">Datasets are openly available at <ext-link xlink:href="https://doi.org/10.5281/Zenodo.6786740" ext-link-type="DOI">10.5281/Zenodo.6786740</ext-link> (Taylor et al., 2022). A list of components and code to
replicate the data acquisition are given in the Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e1443">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/nhess-23-329-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/nhess-23-329-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1452">LT co-designed the study, conducted data analysis, and wrote the paper.
DQ and MS co-designed the study, supervised data analysis, and edited the
paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1458">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1464">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1470">This research was funded by a NERC Doctoral Training Partnership studentship
to LST (NE/L002574/1), with additional support from the Geographical Club
Award and Dudley Stamp Memorial Award of the Royal Geographical Society (PRA
15.20), the Mount Everest Foundation (19-13), and the Gilchrist Educational
Trust. We are thankful to Hannah Barnett for assistance in the field and Joe
Mallalieu for his invaluable advice in project design. We are also grateful
to Robert Vanderbeck for supporting us through the challenges of conducting
fieldwork during a pandemic.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1475">This research has been supported by the UK Research and Innovation (grant no. NE/L002574/1), with additional support from the Geographical Club Award and Dudley Stamp Memorial Award of the Royal Geographical Society (grant no. PRA 15.20), the Mount Everest Foundation (grant no. 19-13), and the Gilchrist Educational Trust.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1482">This paper was edited by Pascal Haegeli and reviewed by Karen Anderson and Penelope How.</p>
  </notes><ref-list>
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