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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Landmine detection and minefield mapping with the help of multi-angle long-wave infrared hyperspectral data fused with the 3D terrain reconstruction</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Arsenii Golovin</string-name>
          <email>ibloogy@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Evgenii Sechak</string-name>
          <email>evgenysechak@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anatolii Demin</string-name>
          <email>dav_60@mail.ru</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Faculty of applied optics, ITMO University</institution>
          ,
          <addr-line>St. Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>JSC «LOMO»</institution>
          ,
          <addr-line>St. Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <fpage>149</fpage>
      <lpage>152</lpage>
      <abstract>
        <p>-The article proposes to use multi-angle hyperspectral long-wave infrared remote sensing together with three-dimensional reconstruction of the area to increase the reliability of detection and reduce the frequency of false alarms when searching for subsurface objects - anti-personnel mines, improvised explosive devices and unexploded ordnance in mountainous and hilly areas, where the use of minesweepers is difficult. Multi-angle remote sensing allows us to exclude the skipping of objects masked and laid at an angle and to separate the soil containing anomaly objects from ordinary soil and surface irregularities. The concept of an optical-digital complex for minefield mapping is given, the main basis of which is a hyperspectral device that receives data from two optical channels with divided them into the tens spectral channels in the longwave infrared range. One optic channel scans the nadir and the second channel scans at an angle to the soil surface. The complex also includes a camera of the visible range, receiving a series of images in different spatial planes for further three-dimensional reconstruction. A method for obtaining and combining segmented hyperspectral data with a reconstructed digital terrain model is described for solving the problems of detection of hidden ground and subsurface objects, reconnaissance, and planning of humanitarian demining missions on terrain with different slopes of relief.</p>
      </abstract>
      <kwd-group>
        <kwd>landmine detection</kwd>
        <kwd>remote sensing</kwd>
        <kwd>HSI</kwd>
        <kwd>multiangle hyperspectral</kwd>
        <kwd>LWIR</kwd>
        <kwd>three-dimensional reconstruction</kwd>
        <kwd>digital surface model</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>I. INTRODUCTION</title>
      <p>The danger of anti-personnel mines and unexploded
ordnance is a serious problem. They pose a constant threat to
the lives and health of people, restrict the movement of
military forces, and deprive civilians of access to natural
resources. Currently, in more than sixty countries and
regions of the world, millions of anti-personnel and
antivehicle mines are pledged [1]. Every year, the number of
victims of anti-personnel mines is only growing.</p>
      <p>
        In practice, the most effective way of clearing the area
from mines during the fighting are special engineering
vehicles - minesweepers, and more mobile tractors with a
mine trawl are used for humanitarian demining. However,
the use of such equipment is not always possible, for
example, it is difficult for the mine trawl to overcome such
obstacles as sections of the terrain with a sharp transition
from descent to ascent and back, slopes, wide craters and
moats [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. On this kind of terrain, the best way is to use
remote methods from an unmanned aerial vehicle (UAV),
which can be used to search and map hidden subsurface
objects - anti-personnel mines, improvised explosive devices,
and unexploded ordnance, laid in the ground.
      </p>
      <p>II. DISTORTION IN HYPERSPECTRAL LANDMINE DETECTION</p>
      <p>
        Many modern methods for the detection of mines and
minefields are based on the use of primary (external contour
and mine shape, contrast with relation to the surrounding
background, uniformity of the image within the mine
contour, etc.) and secondary features (wilted vegetation,
loosened soil, traces left by the mine-laying machine, etc.)
[
        <xref ref-type="bibr" rid="ref3 ref4">3,4</xref>
        ].
      </p>
      <p>
        Hyperspectral imaging in the longwave infrared range
(LWIR) allows detecting both primary and secondary
features. It has higher informativity before broadband
infrared cameras since it allows dividing the spectral range of
the infrared device into a group of dozens of different
wavelengths with a high spectral resolution, the intensity of
each depends on the emissivity and allow to get the real
temperature of the soil surface [
        <xref ref-type="bibr" rid="ref5 ref6">5,6,7</xref>
        ].
      </p>
      <p>However, in mountainous and hilly terrain, hyperspectral
imaging in nadir leads to inconsistent object detection
characteristics, since they are distorted due to local and
global slopes of the terrain, which leads to a drop in the
probability of detection, or an increase in false alarms.</p>
      <p>Hyperspectral imaging, like other types of aerial
photography, is subject to several different distortions.
Changes in scale are usually associated with changes in
terrain height, but they may occur due to changes in flight
altitude along the route, for example, due to turbulence.
Image skew distortions are due to roll and changes in the
pitch angle of the vehicle carrier due to maneuvering or wind
gusts.</p>
      <p>When scanning a nadir on the hilly and mountainous
terrain using the “push-broom” method, hyperspectral
images are subject to relief and radial distortion, which leads
to a sharp change in the objects buried at an angle to the
horizon on the crosslinked images along the flight path. An
example of such a distortion for objects 1 and 3 is shown in
Figure 1.</p>
      <p>Since, when detecting objects buried in the ground on the
LWIR hyperspectral images, as a rule, anomalous objects are
searched for with different thermal contrast with the
surrounding soil, which does not always have obvious
distinguishing features, as shown in the upper figure such
objects during nadir scan can lead to various inconsistent
detection characteristics — to the omission of objects, or an
increase in false alarms. Changes in the spectral emissivity
between the thin layer of soil shown in the figure, and the
environment may not be correctly interpreted by the anomaly
detector and subsurface objects 1 and 3 will be skipped.</p>
      <p>
        When processing the obtained hyperspectral data, there is
also the problem of spectral distortions of the same objects
located on different global and local slopes. Figure 2 shows
an example of the non-linear distortion of the spectral
characteristics of woody vegetation that were obtained in
areas with slopes from 0° to 45° [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>Errors in the detection of anomalous objects on
hyperspectral data due to changes in scale, radial
displacement, obliquity, relief, and spectral distortions lead
to false alarms and the omission of small engineering objects
(unexploded ordnance, mines, and improvised explosive
devices) installed on the soil surface and laid in the ground.
Also, these errors reduce the reliability of the data and make
it difficult to transfer detected objects to maps in GIS for
solving problems related to humanitarian demining,
reconnaissance, planning the movement of people,
equipment, etc.</p>
      <p>This problem can be minimized by flying at high
altitudes, however, the process of detecting small
engineering objects is usually carried out at relatively low
altitudes (50-200 m), due to the low resolution of LWIR
sensors. The application of topographic radiometric
correction algorithms to hyperspectral data can improve the
final image, but the physics of data collection in one
projection (in nadir) does not make the detection process
more reliable since high accuracy of detection with a low
level of false alarms is required to solve problems associated
with demining.</p>
    </sec>
    <sec id="sec-2">
      <title>III. MULTI-ANGLE LWIR HYPERSPECTRAL LANDMINE</title>
      <p>To solve the above-mentioned problem, an approach is
proposed to implement remote search and mapping of the
hidden ground and subsurface objects on different slopes
using an optical-digital complex based on a multi-angle
LWIR hyperspectral scanning, together with a
threedimensional reconstruction of the terrain, which allows
increasing the detection accuracy account of elimination of
relief distortions. Figure 3 shows an example of the
implementation of such a complex placed onboard a UAV in
the form of a multi-angle LWIR hyperspectral camera and a
high-resolution camera in the visible range.</p>
      <p>
        The hyperspectral camera receives data in 2 separate
spatial channels, one of which collects reflected radiation at a
nadir scan, and the other has an angular displacement of 45°
relative to the nadir axis. This makes it possible to obtain
hyperspectral images in an oblique projection (military
perspective), which makes it possible to search for ground
and subsurface objects on various local and global
inhomogeneities of the relief [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. An example of the
transverse scanning by the second channel of the
hyperspectral camera of the terrain indicated earlier is shown
in Figure 4, the large arrow indicates the direction of flight.
The previously distorted objects 1 and 3 on the hyperspectral
frames corresponding to the scanning direction can be easily
distinguished by anomaly detectors.
      </p>
      <p>When detecting small engineering objects in
mountainous and hilly parts of the area, scanning with a
multi-angle LWIR hyperspectral camera should be
conducted in the transverse and longitudinal directions with
overlapping more than 50%, as shown in Figure 5. The blue
dot is the scan start point, the green dot is the end of
scanning. The black line is the flight path of the UAV, the
areas with shading in the right and left direction are the
sensing bands for different directions of data collection with
a multi-angle LWIR hyperspectral camera. The area shaded
by the grid is the overlapping area of the hyperspectral data
for different scanning directions.</p>
      <p>
        As a result of the remote sensing of the territory with a
multi-angle hyperspectral camera, 8 hyperspectral data cubes
are assembled in the transverse and longitudinal directions: 4
in the longitudinal EW (east-west) and WE (west-east) for
two channels and 4 in the transverse SN (south-north) and
NS (north-south). When the hyperspectral data is stitched,
with a link to high-resolution photographs of high resolution
in the visible range, radiometric correction and geo
correction are carried out. The next step is to use the method
of detecting anomalous objects, based on a modification of
the principal component method and providing good
performance with low computational complexity due to the
use of random selection and prediction [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>Hyperspectral data are considered as a set of band
vectors:
where M - is the number of bands, and N - is the number of
pixels. The background matrix and the anomaly matrix are
denoted as B  HMN and S  HMN. Anomaly detection
consists of separating the anomaly from the background, so
the matrix of the corrected hyperspectral image Y can be
expressed as the sum of the background matrix B and the
matrix of anomalies S. The background matrix B represents
the spectral vectors of the main ground objects throughout
the image scene and it is assumed that it lies on a
lowdimensional subspace with low-level properties. In the
matrix of anomalies S, collected spectral vectors of small and
unlikely ground objects, collected in columns C. The
corresponding columns C of the background matrix are zero.
Matrices Y, B, and S related as:
where bi and si is the ith column of matrices B and S,
accordingly, r is the dimension of the subspace of the matrix
B, and U is the basis of the column of the subspace of the
matrix B. Limitation Rank(B) = r – ensures low subspace B.
A limitation (I-U(UTU)-1UT)si0, i  C is that the
anomalies do not lie in the columns of the subspace. To
speed up the processing of four hyperspectral data cubes
obtained in the nadir scan, we propose to use the background
matrix obtained during the processing of the first hypercube
to calculate the matrix of anomalies on the three remaining
hypercube data. The resulting 4 maps of anomalies in nadir
scans are further combined into one general map to increase
the reliability of the detection of anomalous objects and
reduce the frequency of false detections. The anomaly
detector is also used for hyperspectral data obtained by the
second channel of the hyperspectral camera. As a result, we
get 5 different anomaly maps. The general scheme of data
processing by an optical-digital complex is shown in Figure
6.</p>
      <p>
        In turn, a cloud of points is built from high-resolution
images obtained by a camera of the visible range from
different angles using three-dimensional reconstruction
algorithms of a digital terrain model. These point clouds
are classified into several areas corresponding to local and
global slopes using the spatial classification method, which
determines the class of a group of points based on its
spatial position, shape, and size. Medium shear clustering
is used to perform spatial segmentation. This method is a
non-parametric clustering technique that does not require
knowledge of the number of clusters or the shape of these
clusters [
        <xref ref-type="bibr" rid="ref11 ref12">11,12</xref>
        ]. The mean shift algorithm groups the point
cloud into separate clusters, shifting the mean value to a
denser direction, where most of the points are located.
These clusters are fed to the dispersion-based segmentation
method, which in turn further segments the previously
obtained clusters [
        <xref ref-type="bibr" rid="ref13 ref14 ref15 ref16 ref17">13-17</xref>
        ].
      </p>
      <p>
        Segmented point cloud data and multi-angle anomaly
maps are fed into the neural network [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ], where, at the
training stage, the corresponding pixels from the
multiangle anomaly maps are assigned to each class of local and
global slope. After the error in each neuron is less than the
predetermined tolerance, the neural network is considered
to be trained. In the end, the work of the neural network
creates a three-dimensional map of the anomalies, which
are compared with the terrain. From the data obtained at
the early stages of processing, a three-dimensional model
of the surface of the visible range is constructed, which in
turn is combined with the obtained three-dimensional map
of anomalies, which are highlighted for the operator with
bright color.
      </p>
    </sec>
    <sec id="sec-3">
      <title>IV. CONCLUSION</title>
      <p>An approach to the implementation of remote search
and mapping of hidden land and subsurface objects -
antipersonnel mines, improvised explosive devices, and
unexploded ordnance, buried into the ground at a shallow
depth, on the territory with different slopes using an
optical-digital complex based on multi-view long-wave
infrared hyperspectral scanning together with a
threedimensional terrain reconstruction is proposed. The
method allows for increasing the reliability of detection by
eliminating the relief and spectral distortion. The
application of the anomaly detection method in multi-view
hyperspectral images based on the decomposition of the
hyperspectral image matrix into the background, including
spectral vectors of main ground objects in the image scene
and an anomaly matrix containing spectral vectors of small
and unlikely ground objects, provides good performance
with low computational complexity. A method of
combining local slope clusters classified from points
clouds of terrain with a segment of anomaly map of one of
the hyperspectral images taken from different angles is
proposed. The technique allows excluding to a minimum
both spectral and spatial topographic distortions inherent in
hilly or mountainous areas, where the use of minesweepers
is difficult.</p>
    </sec>
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