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  <front>
    <journal-meta><journal-id journal-id-type="publisher">TC</journal-id><journal-title-group>
    <journal-title>The Cryosphere</journal-title>
    <abbrev-journal-title abbrev-type="publisher">TC</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1994-0424</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/tc-12-627-2018</article-id><title-group><article-title>Brief Communication: Mapping river ice using drones and <?xmltex \hack{\break}?>structure from
motion</article-title>
      </title-group><?xmltex \runningtitle{Brief Communication: Mapping river ice}?><?xmltex \runningauthor{K. Alfredsen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Alfredsen</surname><given-names>Knut</given-names></name>
          <email>knut.alfredsen@ntnu.no</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Haas</surname><given-names>Christian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Tuhtan</surname><given-names>Jeffrey A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0832-7334</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zinke</surname><given-names>Peggy</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Civil and Environmental Engineering, Norwegian
University of Science and Technology, <?xmltex \hack{\break}?>7491 Trondheim, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>I AM HYDRO GmbH, Märtishofweg 2, 78112 St. Georgen, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Centre for Biorobotics, Tallinn University of Technology, Tallinn, Estonia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Knut Alfredsen (knut.alfredsen@ntnu.no)</corresp></author-notes><pub-date><day>21</day><month>February</month><year>2018</year></pub-date>
      
      <volume>12</volume>
      <issue>2</issue>
      <fpage>627</fpage><lpage>633</lpage>
      <history>
        <date date-type="received"><day>18</day><month>September</month><year>2017</year></date>
           <date date-type="rev-request"><day>9</day><month>October</month><year>2017</year></date>
           <date date-type="rev-recd"><day>29</day><month>December</month><year>2017</year></date>
           <date date-type="accepted"><day>17</day><month>January</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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://tc.copernicus.org/articles/12/627/2018/tc-12-627-2018.html">This article is available from https://tc.copernicus.org/articles/12/627/2018/tc-12-627-2018.html</self-uri><self-uri xlink:href="https://tc.copernicus.org/articles/12/627/2018/tc-12-627-2018.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/articles/12/627/2018/tc-12-627-2018.pdf</self-uri>
      <abstract>
    <p id="d1e123">In cold climate regions, the formation and break-up of river ice is important
for river morphology, winter water supply, and riparian and instream ecology
as well as for hydraulic engineering. Data on river ice is therefore
significant, both to understand river ice processes directly and to assess
ice effects on other systems. Ice measurement is complicated due to difficult
site access, the inherent complexity of ice formations, and the potential
danger involved in carrying out on-ice measurements. Remote sensing methods
are therefore highly useful, and data from satellite-based sensors and,
increasingly, aerial and terrestrial imagery are currently applied. Access to
low cost drone systems with quality cameras and structure from motion
software opens up a new possibility for mapping complex ice formations.
Through this method, a georeferenced surface model can be built and data on
ice thickness, spatial distribution, and volume can be extracted without
accessing the ice, and with considerably fewer measurement efforts compared to
traditional surveying methods. A methodology applied to ice mapping is
outlined here, and examples are shown of how to successfully derive
quantitative data on ice processes.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e133">River ice is a critical part of the cryosphere (Brooks et al., 2013), and ice
formation has implications for river geomorphology, instream and riparian
ecology, winter water supplies and for hydraulic engineering in cold
climates. Physically monitoring and mapping ice is methodologically
challenging, as accessing river ice is difficult and potentially dangerous.
Therefore, remote sensing methods are applied to assess ice in rivers and a
number of examples of this exist in literature. Chu and Lindenschmidt (2016)
integrated optical (MODIS) and radar (RADARSAT-2) satellite data to assess
freeze-up, break-up, and ice types in the Slave river, Canada. They also used
aerial- and terrestrial imagery to validate the satellite data, and found
good agreement on break-up and freeze-up dates. Mermoz et al. (2014)
demonstrated how ice thickness could be derived from RADARSAT-2 data for
three rivers in Canada. Beltaos and Kääb (2014) used successive
satellite images to assess the flow velocity and discharge during ice
break-up, illustrating the ability of using remote sensing for studying ice
process dynamics. Ansari et al. (2017) developed algorithms to automatically
derive ice phenology data from bankside photography, and produced time series
of these ice data for the lower Nelson River, Canada. Most satellite-based
approaches described in the literature are applied to large rivers and may
not apply to smaller rivers and streams due to the coarse resolution of the
satellite imagery. Remote sensing methods are therefore needed to monitor ice
formation in smaller rivers. Further work is also needed to move from a
qualitative evaluation of ice (focussing on ice types and presence or
non-presence of ice) towards a quantification of ice volumes and the spatial
distribution.</p>
      <p id="d1e136">These gaps may be filled by the use of inexpensive aerial drones with camera
systems of sufficient quality that the resultant aerial imagery can be
processed using the Structure from Motion (SfM) method (Westoby et al., 2012)
into a three-dimensional surface representation of the area covered by aerial
photography. Ground control points can be used to georeference the point
cloud and aerial images generated by the drone, in order to develop digital
elevation models of high accuracy and resolution. Additionally, surface
texture may be derived and overlaid on the surface models, and derived
georeferenced orthophoto mosaics to provide an accurate aerial image of the
study object. SfM has shown great potential within geosciences where
detailed digital models are often needed (Westoby et al., 2012; Smith et al.,
2016), and the method has been applied, for example to studies on river
habitat and hydromorphology (Woodget et al., 2017), erosion and sedimentation
studies (Smith and Vericat, 2015), and for grain size classification
(Vasquez-Tarrio et al., 2017; Arif et al., 2016). Within the cryospheric
sciences this method has been used in the study of glaciers (Ryan et al.,
2015) and in the study of snow accumulation (Nolan et al., 2015).</p>
      <p id="d1e139">Combining a drone with SfM may be an efficient tool for mapping ice in rivers
of various sizes, with the added advantage of also being able to cover small
streams. This approach may enable detection of ice jams formed during ice
runs, and anchor ice dams formed during freeze-up. These dynamic ice forms are
difficult and time consuming (sometimes impossible) to map using traditional
methods, but are important to many ice assessments. Ice break-up and
associated jams can cause erosion and flooding, and thus severe damage to
infrastructure and the riverine flora and fauna (Beltaos, 1995; Prowse and
Culp, 2003). Anchor ice dams control the freeze-up process in small rivers
and streams, and are thus important for understanding winter conditions in
such streams (Stickler et al., 2010; Turcotte and Morse, 2011). A possible
drawback with the use of small drones as employed here their is limited flight
distance (typically 1000–1300 m) and battery life in cold conditions.</p>
      <p id="d1e142">In this brief communication, we outline the process of mapping river ice
with a common, consumer-grade drone combined with commercial SfM software.
Furthermore, we use the method to map the remnant of a stranded ice jam in
one river section another river section with anchor ice dams. Cross sections
and the volume of the ice run are computed from the mapped data, and the
location and size of the anchor ice dams are estimated. Since these
quantitative data are not commonly produced due to the difficulties
associated with traditional field measurements, the application of the
method presented has the potential to increase the amount and quality of
data available. This may further improve our understanding of ice processes
that form the foundation for modelling and practical assessments of ice
impacts to constructed and natural environments.</p>
</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Study site</title>
      <p id="d1e156">Our two study sites are located at the river Gaula (63.06<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
10.29<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and the tributary Sokna (62.98<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
10.22<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) south of Trondheim, Norway. We mapped a stranded part of
an ice run that took place in December 2016 at the Gaula site close to
Haga bridge and at the
Sokna site we mapped a section of the river with several broken anchor ice
dams. The drone flight was carried out in February 2017 under sparsely
clouded conditions with low wind velocities. The length of the reaches mapped
are 350 and 200 m for Gaula and Sokna, respectively. During the
measurements, the discharge in Gaula (at the Gaulfoss gauge) was
approximately 20 m<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M6" 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> and in Sokna (at the Hugdal bridge gauge)
approximately 3.5 m<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M8" 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>. These rates correspond to 28 % of
the mean annual flow. The Gaula site is about 75 m wide, and the water flows
mainly over a bed of coarse gravel and small cobbles. At the location where
the ice jam formed, the river narrows and the flow changes from a section
with fast riffles to a deeper pool area. The Sokna site is steep (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>),
the bed consist of large cobbles and boulders, and the river is characterised
by short pools interspersed with drops and fast riffles/rapids. The width of
the reach is around 18 m.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e252">Stages of the process of mapping the Gaula site. Panel <bold>(a)</bold>
shows the position of the drone for each image (crosses) and the ground
control points (triangles) overlaid on a digital map of the river section.
Panel <bold>(b)</bold> shows the dense point cloud for the same reach after
processing the aerial imagery. Panel <bold>(c)</bold> shows the georeferenced
digital surface model based on the point cloud. Panel <bold>(d)</bold> shows an
orthophoto mosaic of the reach, showing both the ice jam to the left and an
ice cover at different stages of formation. The red arrow shows the flow
direction.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/627/2018/tc-12-627-2018-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <title>Data collection and processing</title>
      <p id="d1e279">At the two sites we acquired aerial images using a DJI Phantom3 Professional
drone (<uri>www.dji.com</uri>), and surveyed ground control points (GCPs). The drone has
a GPS/GLONASS assisted hover function and the 12 megapixel on-board camera
has a <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> 94<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> field of view and is mounted with a three-axis gimbal.
The flight level was set to 30 m above the ground, but the level varied
during the flight due to wind, pressure changes and the automated hover
function. Most pictures were taken in plan view, but some oblique pictures
were taken to better capture vertical features of the ice formations. A
minimal image overlap of 20 % was used to ensure good picture alignment
in the SfM analysis. For both sites, the drone was manually controlled from
the ground using the DJI remote controller and an Apple iPad with the DJI Go
application. Though capable of autonomous operation according to a
pre-planned flight plan generated with the DJI GS Pro application, the drone
was controlled manually due to the size of the study area and regulations on
unmanned aerial vehicle (UAV) operation. Each picture taken was stored on board the drone with its
associated Exif image information and GPS position. A total of 215 and 517
pictures were taken of the Gaula and Sokna sites, respectively. Of these, 82
pictures were used in the SfM analysis for Gaula (38 %) and 68 pictures
in Sokna (13 %). The time spent in Gaula was about 15 min for rigging
and then 17 min for acquiring the imagery. At the Sokna site, the drone
was already rigged and the flight lasted 10 min. All GCPs and
post-processing control points were measured during the drone flights. The
GCPs and post- processing control points were surveyed using a Leica Viva
RTK-GPS (spatial accuracy of 1–2 cm), and they consisted of custom-made
numbered markers (25 <inline-formula><mml:math id="M12" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 25 cm) made of heavy red tarpaulin that were clearly
visible on the drone images. GCPs were spread out over the measurement
domains as much as conditions allowed, but only one bank was accessible to us
at the Sokna site. At the Gaula site 11 GCPs were
measured on the ice surface for georeferencing, and another 9 control points
were measured to provide a simple control of accuracy of the surface model
after processing. At the Sokna site, 9 GCPs were measured on the river bank
since it was not possible to access the ice surface for safety reasons. The
number of GCPs is based on previous experience of the necessary number of
points to develop an accurate point cloud and surface model. The number of
points is also in correspondence with Turner et al. (2012) who found similar
results using 10 and 20 GCPs. The captured images and GCPs were processed
using Agisoft Photoscan Pro version 1.3.0 (<uri>www.agisoft.com</uri>) into a
georeferenced point cloud using the SfM workflow described by the following
steps:</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e319">Root mean square error computed from GCP and control points. The
error is reported for the combination of <inline-formula><mml:math id="M13" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M14" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M15" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> and error for each
coordinate.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <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:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Measurement</oasis:entry>  
         <oasis:entry colname="col2">No. of</oasis:entry>  
         <oasis:entry colname="col3">Mean RMS</oasis:entry>  
         <oasis:entry colname="col4">Min RMSE</oasis:entry>  
         <oasis:entry colname="col5">Max RMS</oasis:entry>  
         <oasis:entry colname="col6">Long.</oasis:entry>  
         <oasis:entry colname="col7">Lat.</oasis:entry>  
         <oasis:entry colname="col8">Alt.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">points</oasis:entry>  
         <oasis:entry colname="col3">combined (m)</oasis:entry>  
         <oasis:entry colname="col4">combined (m)</oasis:entry>  
         <oasis:entry colname="col5">combined (m)</oasis:entry>  
         <oasis:entry colname="col6">(m)</oasis:entry>  
         <oasis:entry colname="col7">(m)</oasis:entry>  
         <oasis:entry colname="col8">(m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Gaula GCP</oasis:entry>  
         <oasis:entry colname="col2">11</oasis:entry>  
         <oasis:entry colname="col3">0.071</oasis:entry>  
         <oasis:entry colname="col4">0.027</oasis:entry>  
         <oasis:entry colname="col5">0.098</oasis:entry>  
         <oasis:entry colname="col6">0.048</oasis:entry>  
         <oasis:entry colname="col7">0.051</oasis:entry>  
         <oasis:entry colname="col8">0.013</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Gaula control</oasis:entry>  
         <oasis:entry colname="col2">9</oasis:entry>  
         <oasis:entry colname="col3">0.102</oasis:entry>  
         <oasis:entry colname="col4">0.008</oasis:entry>  
         <oasis:entry colname="col5">0.224</oasis:entry>  
         <oasis:entry colname="col6">0.067</oasis:entry>  
         <oasis:entry colname="col7">0.051</oasis:entry>  
         <oasis:entry colname="col8">0.070</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sokna GCP</oasis:entry>  
         <oasis:entry colname="col2">9</oasis:entry>  
         <oasis:entry colname="col3">0.06</oasis:entry>  
         <oasis:entry colname="col4">0.012</oasis:entry>  
         <oasis:entry colname="col5">0.102</oasis:entry>  
         <oasis:entry colname="col6">0.047</oasis:entry>  
         <oasis:entry colname="col7">0.031</oasis:entry>  
         <oasis:entry colname="col8">0.022</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e510"><list list-type="order">
            <list-item>
              <p id="d1e515">Photos were aligned and images with a quality index greater than 0.8 were
included in the point cloud generation. The quality index is computed by
Agisoft Photoscan based on an evaluation of image sharpness, and experience
shows that it is related to the spatial distribution of contrast in the
images. The camera models were optimized and points with a RMS re-projection
error of less than 0.2 were deleted from the cloud. Afterwards, the modelled
camera positions and orientations were optimized again to improve the initial
camera alignments, which were estimated by the software, based on common
features between pairs of images.</p>
            </list-item>
            <list-item>
              <p id="d1e521">GCPs and control points were imported to Photoscan and markers were manually
identified and linked to the GCP. Each marker was identified on a minimum of
three images before the georeferencing parameters were recalculated. In the
Sokna case, the GCP showed an error that was considered too large, and
this point was removed. The camera models were optimized once more and
georeferenced clouds were generated.</p>
            </list-item>
            <list-item>
              <p id="d1e527">The georeferenced point clouds were densified and the ground points were
classified to create meshes. The meshes were then used to build surface
models and generate orthophoto mosaics.</p>
            </list-item>
          </list><?xmltex \hack{\newpage}?></p>
      <p id="d1e533">Figure 1 shows the locations of the camera positions and the GCPs, the
generated point cloud, the surface model and an orthophoto mosaic for the
Gaula site. To extract cross-sections and analyse the surface model
generated in Photoscan, data were exported to ArcMap 10.5 (<uri>www.esri.com</uri>),
and the tools in the 3-D analyst package were used to extract data from the
surface model. The ground elevation under the ice jam in Gaula was taken
from the 1 m Norwegian DEM provided by the Norwegian mapping agency
(<uri>www.hoydedata.no</uri>).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p id="d1e549">The quality of the georeferencing and post-processing control points was
assessed using the root mean square error (RMSE) of the combined <inline-formula><mml:math id="M16" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M17" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math id="M18" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> coordinates computed in Photoscan. Given the low amount of errors shown in Table 1,
the accuracy of the digital elevation model is considered good and ice
features may be derived with high precision. A further comparison of the
georeferenced images with features on the digital map of the area shows good
correspondence between the features georeferenced in the images and the same
features on the digital maps.</p>
      <p id="d1e573">Figure 1d shows the orthophoto mosaic of the Gaula site, the extent of the
ice jam, and the directional stacking of the ice floes accumulated in the
jam. The formation of the ice cover on the river section outside the ice jam
is also visible, and the pattern of a retrograde build-up of ice with the
leading edge is clearly identifiable in the lower left edge of the picture.
Furthermore, cracking and some shoving of the ice cover outside the ice jam
can be seen, giving a clear indication of the mechanisms that form the ice
cover on this reach of the river.</p>
      <p id="d1e576">As shown in Fig. 2, cross-sections of ice jams were extracted from a
combination of the SfM-derived surface model and ground elevation data from
the 1 m resolution Norwegian national DEM. Based on visual observations after
the ice event, and from observations in the field, the jam was assumed to be
grounded for most of its area. At the Gaula site, the mean thickness of the
ice layers were 1.82, 2.09 and 2.29 m for cross sections A–A<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> , B–B<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> and
C–C<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> respectively, and the sheer wall heights were 1.12, 0.86, and 1.60 m
in cross sections A–A<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> , B–B<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> and C–C<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>, respectively. The mean
thickness of the jam was 2.19 m and the maximum thickness was 3.56 m. The ice
jam volume was computed to be 6786 m<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, covering a surface area of
3223 m<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. This is most likely a minimum volume since it is probable that the
Norwegian national DEM describes the river water surface rather than actual
ground level, in particular for the last 10 m of each transect (Fig. 2).</p>
      <p id="d1e652">Figure 3 shows a number of broken anchor ice dams at the Sokna site. Dam
locations and computed elevations and sizes can be used to derive how the
ice cover will develop in the reach. This forms the foundation for
understanding the hydraulic impacts of ice in steep rivers, and results can
be combined with measured hydraulic variables for further evaluation. As an
example, Fig. 3 shows two vertical profiles of a broken anchor ice dam
where the elevations of dam crests over the water surface is measured to 0.8
and 1 m respectively, indicating the elevated water level in the reach
when the dams were complete.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e658">Cross sections through the Gaula ice jam at three different
locations marked A–A<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> , B–B<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> and C–C<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>. The height of the shear wall
of the ice jam is marked with an arrow in each cross section. The dashed line
indicates the ground level from the 1 m resolution Norwegian DEM.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/627/2018/tc-12-627-2018-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e696">Partly broken anchor ice dams in the Sokna reach. The upper picture
shows an orthophoto mosaic of the reach, the lower graphs shows the two
sections <bold>(a)</bold> and <bold>(b)</bold> marked on the picture and the picture
shows the area in the red rectangle as seen from downstream.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://tc.copernicus.org/articles/12/627/2018/tc-12-627-2018-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Discussion and conclusion</title>
      <p id="d1e717">An example of using a simple drone combined with SfM to map river ice is
shown for two important types of ice, an ice jam and anchor ice dams. Using
a relatively small number of GPS measured ground points, the point cloud was
georeferenced and a surface model and an orthophoto mosaic were
developed. Based on the georeferenced models, data on ice thickness, volume,
and spatial distribution were extracted. Compared to previous measurements
using GPS or total stations for mapping detailed spatial ice formations
(e.g. Timalsina, 2014), the approach presented here removes the need to
access the ice, which in the Sokna case would have been difficult or
impossible due to the ice conditions. Even if access to the ice was
possible, our new approach provides an amount and quality of data that
cannot be matched by difficult and time-consuming collection of manual
measurements.</p>
      <p id="d1e720">A challenge with remote sensing is to assess ice thickness over flowing
water, and this is also the case using the drone and SfM method. At the Gaula
ice jam, it was relatively simple to compute ice volumes and derive ice cross
sections for ice grounded on a surface with known ice-free geometry, but in
cases where river ice has open water sections the problem is more
complicated. This is illustrated by considering the conditions shown in the
Sokna case (Fig. 3). Anchor ice dam positions and their width and height
can be derived from the orthophoto mosaic and the surface model, but unlike
the Gaula case, no ice-free geometry of the river was available to assess the
volume of ice. A possible approach is to derive the elevation of
the level of the open water from the SfM generated surface model and then use
this to assess the thickness of the anchor ice dams seen in the mosaic. At
the Sokna site, we could see that the open water would give a reasonable
assessment of the thickness of the dams, but this approach requires field
observations to confirm the method. In general, using the visible water
surface has its limitations due to the turbulent surface of the water, and
because the rocks and outcroppings known to be important for anchor ice dam
formation may not be visible in the images captured after the ice is formed.
To facilitate this approach, a flight during ice-free conditions or some
other kind of measurement campaign is needed to capture the size and position
of large boulders and other morphological conditions that control placement
of anchor ice dams. Together with the dam positioning methodology described
herein, this approach could be used to accurately determine the favourable
conditions for development of anchor ice dams and the size of the dams. The
formation of anchor ice in Sokna and other similar small rivers is crucial
for the formation of an ice cover and for the in-stream flow conditions
(Timalsina, 2014). Therefore, understanding the mechanisms for formation and
location of the ice would make analysis of winter conditions more precise
and would improve the ability to predict dam positions.</p>
      <p id="d1e723">Our experience suggests that the ice cover was better detected and
represented under snow free conditions than from a comparable surface with
an undisturbed snow cover. It is therefore advisable to fly the reach as
soon as possible after an ice event has occurred and preferably before
snow cover develops. In general, the DJI Phantom 3 Professional is limited
in poor lighting conditions due to the small 6.17 <inline-formula><mml:math id="M30" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 55 mm sensor. Compared to bigger sensors, the influence of lighting
conditions can be drastic as shutter speed is decreased, with a commensurate
increase of the aperture. Because of this, the camera system is more
sensitive to the influence of vibrations and movement of the UAV caused by
wind. Further, bright light with dark shadows can result in poor picture
quality as the camera sensor can be overloaded by bright reflections from
unshaded areas, whereas shaded areas may lack suitable information for SfM
applications. Therefore, we recommend manual camera settings on the Phantom
3 Professional to ensure sufficient image quality for post processing.
Automatic waypoint navigation (e.g. in this case with the DJI GS Pro
application) can help to create a dataset with good coverage of the site and
sufficient image overlapping. However, all autonomous navigation and auto
camera settings increase the risk of poor picture quality, especially under
less than optimal lighting conditions. Regardless of the approach used, data
quality must be checked in the field to prevent data gaps caused by poor
image acquisition. New versions of drones are appearing regularly, and
improved sensor technology and light handling will improve picture quality,
feature matching between cameras, and depth maps. This will increase the
accuracy of the SfM generated surface model and orthophoto mosaics.</p>
      <p id="d1e733">Labelled regions were manually extracted for corresponding physical features
(e.g. “cracks”, “anchor ice”) following generation of the orthophoto
mosaic. However, processing algorithms for advanced pixel and object-based
image classification have been used by the remote sensing community for
decades, and geoscience practitioners have already begun to develop new
methods specifically tailored to 3-D point clouds derived from SfM models
(Stickler et al., 2010). Once workflows for the identification and
classification of physical features specific to ice processes and types have
been established, such as presented herein, it can reasonably be expected
that machine learning may be applied to more efficiently classify large
quantities of orthophoto imagery.</p>
      <p id="d1e737">Compared to other methods, using a drone and SfM for river ice assessment is
an efficient method particularly suitable for small and medium sized rivers.
Using satellites is difficult in smaller watersheds due to the small size of
the rivers compared to satellite pixels, and the data can be costly. Using
SfM with other aerial platforms like planes or helicopters is more expensive
to operate, and are also not as versatile as a drone in narrow valleys and at
sites with heavy bankside vegetation. Manual measurements take far more time
if similar detail is needed (and may not be possible in practice), and can be
difficult due to necessary safety restrictions related to work on ice covered
rivers. Though no photographic images are produced, the use of a terrestrial
laser scanner is a possible bankside remote sensing alternative (Brostow et
al., 2008) For larger or longer reaches, the number of scan positions
occupied may lead to a more extensive field campaign, and further processing
and integration of point clouds from many positions may also consume time and
effort.</p>
      <p id="d1e740">There are limitations to the application of the DJI Phantom 3 Professional
used here. From experience, we expect practical flight range of about 1000–1300 m
in open terrain when flying in non-autonomous mode. This limits the
application in large rivers, and makes it necessary to fly from several
locations to cover longer reaches. The application of the small drone is
also influenced by wind, and calm days are recommended both due to operation
and for the best possible image quality. Another issue relates to battery
life in cold weather. The flight time is around 20 min, and it is
necessary to pay attention to the battery status to avoid sudden loss of
voltage in cold batteries. For sustained operation in cold climates several
batteries are recommended, and spare batteries should be kept as warm as
possible. A final issue to consider is operational constraints set by
applicable aviation regulations that must be consulted before each flight,
which may limit system size, mass, range, elevation, timing, etc.</p>
      <p id="d1e743">The approach presented here is applicable to several issues in river ice
research, modelling and management. As seen in Fig. 1d, the mechanisms
of ice formation can be derived from the pictures, and since the method is
not very time consuming, repeating measurements over a short time is viable
and could provide detailed data on the freeze-up process. When combined with
measurements of climate and hydraulic variables, the surface model and
orthophoto mosaic from the SfM processed drone imagery could benefit process
understanding and model development. Data can also be used in the
calibration and validation of ice models. Mapping of ice jams could provide
a basis for the assessment of ice volumes and the configuration of floes and
ice elements that make up the jam. These data are critical for understanding
the river ice breakup processes and may aid in assessing potential damages
that can result.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e751">The images used in the analysis can be downloaded from:
Sokna: <uri>http://folk.ntnu.no/knutal/TC/Sokna.zip</uri>; Grana:
<uri>http://folk.ntnu.no/knutal/TC/RAW.zip</uri>. The file-size is about 5 GB
each.</p>
  </notes><notes notes-type="authorcontribution">

      <p id="d1e763">All authors contributed to the design of the field work based on previous
measurements by KA. All authors participated in the field work, and CH flew
the drone and acquired the images. KA did the analysis supported by JAT and
CH, and PZ provided the ice-free geometry data. KA wrote the manuscript with
input from all co-authors.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e769">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e775">JAT and CH participated in the field work as part of the workshop on data
processing from images gained by unmanned aircraft systems that was funded by
the European Economic Area (EEA) Grant “Restoration of the aquatic and
terrestrial ecosystems at Fundu Mare Island” (Project Number RO02-0008) with
financial contributions from Norway and Romania. The authors wish to thank
the three reviewers who provided very useful input to the
manuscript.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: Peter
Morse<?xmltex \hack{\newline}?> Reviewed by: Karl-Erich Lindenschmidt, Shawn Clark, and<?xmltex \hack{\newline}?>
Mark Loewen</p></ack><ref-list>
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  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Brief Communication: Mapping river ice using drones and structure from motion</article-title-html>
<abstract-html><p class="p">In cold climate regions, the formation and break-up of river ice is important
for river morphology, winter water supply, and riparian and instream ecology
as well as for hydraulic engineering. Data on river ice is therefore
significant, both to understand river ice processes directly and to assess
ice effects on other systems. Ice measurement is complicated due to difficult
site access, the inherent complexity of ice formations, and the potential
danger involved in carrying out on-ice measurements. Remote sensing methods
are therefore highly useful, and data from satellite-based sensors and,
increasingly, aerial and terrestrial imagery are currently applied. Access to
low cost drone systems with quality cameras and structure from motion
software opens up a new possibility for mapping complex ice formations.
Through this method, a georeferenced surface model can be built and data on
ice thickness, spatial distribution, and volume can be extracted without
accessing the ice, and with considerably fewer measurement efforts compared to
traditional surveying methods. A methodology applied to ice mapping is
outlined here, and examples are shown of how to successfully derive
quantitative data on ice processes.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Ansari, S., Rennie, C., Seidou, O., Malenchak, J., and Zare, S.: Automated
monitoring of river ice processes using shore-based imagery, Cold Reg. Sci.
Technol., 142, 1–16, <a href="https://doi.org/10.1016/j.coldregions.2017.06.011" target="_blank">https://doi.org/10.1016/j.coldregions.2017.06.011</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Arif, M., Gülch, E., Tuhtan, J., Thumser, P., and Haas, C.: An
investigation of image processing techniques for substrate classification
based on dominant grain size using RGB images from UAV, Int. J. Remote Sens.,
38, 2639–2661, <a href="https://doi.org/10.1080/01431161.2016.1249309" target="_blank">https://doi.org/10.1080/01431161.2016.1249309</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Beltaos, S.: River ice jams, Water Resources Publishers LLC, Highlands Ranch,
Colorado, 372 pp., 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Beltaos, S. and Kääb, A.: Estimating river discharge during ice
breakup from near-simultaneous satellite imagery, Cold Reg. Sci. Technol.,
98, 35–46, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Brooks, R. N., Prowse, T., and O'Connel, I. J.: Quantifying Northern
Hemisphere freshwater ice, Geophys. Res. Lett., 40, 1128–1131,
<a href="https://doi.org/10.1002/grl.50238" target="_blank">https://doi.org/10.1002/grl.50238</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Brostow, G., Shotton, J., Fauqueur, J., and Cipolla, R.: Segmentation and
recognition using structure from motion point clouds, European Conference on
Computer Vision, Springer, Berlin, Heidelberg, 44–57, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Chu, T. and Lindenschmidt, K.-E.: Integration of space-borne and air-borne
data in monitoring river ice processes in the Slave River, Canada, Remote
Sens. Environ., 181, 65–81, <a href="https://doi.org/10.1016/j.rse.2016.03.041" target="_blank">https://doi.org/10.1016/j.rse.2016.03.041</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Mermoz, S., Allain-Bailhache, Bernier, M., Pottier, E., Van Der Sanden, J.,
and Chokmani, K.: Retrieval of River Ice Thickness From C-Band PolSAR Data,
IEEE T. Geosci. Remote, 52, 3052–3062, <a href="https://doi.org/10.1109/TGRS.2013.2269014" target="_blank">https://doi.org/10.1109/TGRS.2013.2269014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Nolan, M., Larsen, C., and Sturm, M.: Mapping snow depth from manned aircraft
on landscape scales at centimeter resolution using structure-from-motion
photogrammetry, The Cryosphere, 9, 1445–1463,
<a href="https://doi.org/10.5194/tc-9-1445-2015" target="_blank">https://doi.org/10.5194/tc-9-1445-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Prowse, T. and Culp, J.: Ice breakup: a neglected factor in river ecology,
Can. J. Civil Eng., 30, 128–144, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Ryan, J. C., Hubbard, A. L., Box, J. E., Todd, J., Christoffersen, P., Carr,
J. R., Holt, T. O., and Snooke, N.: UAV photogrammetry and structure from
motion to assess calving dynamics at Store Glacier, a large outlet draining
the Greenland ice sheet, The Cryosphere, 9, 1–11,
<a href="https://doi.org/10.5194/tc-9-1-2015" target="_blank">https://doi.org/10.5194/tc-9-1-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Smith, M. and Vericat, D.: From experimental plots to experimental
landscapes: topography, erosion and deposition in sub-humid badlands from
Structure-from-Motion photogrammetry, Earth Surf. Proc. Land., 40,
1656–1671, 10.1002/esp.3747, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
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