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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>GraphiCon</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Queue Waiting Time Estimation Using Person Re-identification by Upper Body</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Timur Mamedov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Denis Kuplyakov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anton Konushin</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lomonosov Moscow State University</institution>
          ,
          <addr-line>1, Leninskie Gory, Moscow, 119991, Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>NRU Higher School of Economics</institution>
          ,
          <addr-line>11, Pokrovsky Bulvar, 109028, Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Video Analysis Technologies</institution>
          ,
          <addr-line>7, Sculptora Mukhina, 119634, Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2021</year>
      </pub-date>
      <volume>31</volume>
      <fpage>27</fpage>
      <lpage>30</lpage>
      <abstract>
        <p>In this paper, we propose a new approach to estimating waiting time in queue based on object tracking and person re-identification by upper body. The task we are considering is practically important in video analysis, because this data can be used for predictive analytics and improvement of customer services. The main idea of the proposed method is to use upper body detections instead of full body detections. This decision is due to the following fact: in queues, the upper bodies are more visible. Using re-identification allows us to perform video analytics on sparse frames and thereby increase the computational eficiency of the estimation algorithm. Also in this work, we introduce a novel upper body regression by head, upper body random size augmentation to improve re-identification performance in real-world scenarios and a method for calculating metrics for queue waiting time estimation algorithms. Our experimental evaluation showed that the proposed algorithm has a high accuracy of queue waiting time estimation.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Computer Vision</kwd>
        <kwd>Video Analytics</kwd>
        <kwd>Re-identification</kwd>
        <kwd>Object Tracking</kwd>
        <kwd>Queue Analytics</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The task of estimating waiting time in queue is practically an important task, since algorithms
for solving this problem are used in commercial products to improve customer services. There
are many solutions to this problem, one of them is object tracking. The task of object tracking
is to create tracks for each person and every track unambiguously corresponds to a person. It
marks this particular person locations in all frames in which person is visible.</p>
      <p>We use appearance embeddings obtained using the re-identification algorithm (next, we will
call it as Re-ID appearance embeddings) to bind detections on new frames with existing tracks
or to create new tracks. Using re-identification allows us to perform video analytics on sparse
frames and thereby increase the computational eficiency of the estimation algorithm. This fact
is very important for real-world tasks, because in practice we have strict limits on computing
resources. Also, in this paper, we use upper body detections for re-identification algorithm
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      <p>Input Video Stream</p>
      <sec id="sec-1-1">
        <title>Waiting Time</title>
      </sec>
      <sec id="sec-1-2">
        <title>Estimation</title>
      </sec>
      <sec id="sec-1-3">
        <title>Tracking</title>
      </sec>
      <sec id="sec-1-4">
        <title>Re-ID Appearance</title>
      </sec>
      <sec id="sec-1-5">
        <title>Embeddings</title>
        <p>instead of full body detections, because in queues, the upper bodies are more visible.</p>
        <p>In this work, we proposed a fully automatic algorithm for estimating waiting time in queue.
The input of the algorithm is a video stream {}=1 of frames captured by single stationary
camera, the coordinates of the region of interest (ROI) and  — fragment length in seconds. The
output of the algorithm is a set {}=1 of maximum waiting time every  seconds.</p>
        <p>Summarize, in this article we ofer the following ideas:
• novel upper body regression by head;
• new upper body random size augmentation;
• neural network algorithm for person re-identification by upper body detections;
• object tracking algorithm based on Re-ID appearance embeddings for creating tracks;
• new method for calculating metrics for queue waiting time estimation algorithms.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>
        Most of the existing methods for queue monitoring use idea of counting people who have
crossed a special signal line, which located at the entrance and exit of the queue. For this
purpose, special equipment is often used, which is installed at the entrance and exit of the
queue, for example, infrared sensors in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. However, there are methods based on computer
vision techniques. For example, the work [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] uses tracking to count people who have crossed
the signal line. In this paper we also use object tracking algorithm, but we abandoned the idea
of signal lines. To estimate the waiting time in the queue, we focus on the lifetime of the tracks.
      </p>
      <p>
        There are a lot of types of object tracking algorithms, most of them are based on
tracking-bydetection. There are several approaches to detecting objects on the frame for further tracking.
For example, detection of body [
        <xref ref-type="bibr" rid="ref3 ref4 ref5">3, 4, 5</xref>
        ], detection of head [
        <xref ref-type="bibr" rid="ref2 ref6">2, 6</xref>
        ] and using of key points. Neural
networks methods also used in object tracking task, for example, in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] detector is used to
regress detection on the current frame by detection on previous frame.
      </p>
      <p>
        As mentioned earlier, we use person Re-ID appearance embeddings to bind detections to
the tracks. Re-identification algorithms have been particularly developed with the growing
popularity of neural network methods. Occlusions — is the one of the main problems in
reidentification task. To solve the problem of occlusions, binary object masks [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ] and semantic
segmentation [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] are very often used. Loss functions [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] and neural network architectures
[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] also play a huge role in re-identification.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Proposed Method</title>
      <p>The fig. 1 shows the general scheme of the proposed method. Our method consist of five main
steps:
• Head Detection — at this step, the head detector is used to search for the heads of all
people on sparse frames;
• Upper Body Regression — at this step, our proposed upper body regression by heads is
used to regress the upper bodies for each head found on sparse frames;
• Re-ID Appearance Embeddings — at this step, all the regressed upper bodies are fed
to the input of the neural network for re-identification, which generates embeddings;
• Tracking — at this step, Re-ID appearance embeddings are used to bind detections to the
tracks or create new tracks;
• Waiting Time Estimation — after tracking we get set of tracks { }=1,   =
{ ,  }=1, where  ,  — frame and coordinates of the bounding box, respectively.
Using the set of tracks, we can calculate waiting time in the queue as the maximum
lifetime (by the lifetime () of the track , we mean the duration of its existence in a
video sequence) of one of the tracks from this set.</p>
      <p>Below are detailed descriptions of the first four steps of the proposed algorithm.</p>
      <sec id="sec-3-1">
        <title>3.1. Head Detection</title>
        <p>
          In this paper, we use the head detector based on SSD [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ] with ResNet50 [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ] as the backbone.
We choose this detector, because it is fast and has acceptable quality for the detection task.
The detector were trained on CrowdHuman public dataset [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] and on the dataset collected by
Video Analysis Technologies. Experimental evaluation showed AUC of 0.66 on the test part of
CrowdHuman.
        </p>
        <p>Next, head detections are used to regress the upper parts of people’s bodies.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Upper Body Regression</title>
        <p>The main idea of the proposed method is to use upper body detections instead of full body
detections for re-identification algorithm. This decision is due to the following fact: in queues,
the upper bodies are more visible. Also, the upper body contains suficient visual information
(a) Heuristic
(b) Neural Network Regression
for re-identification compared to the heads. Our upper body regression approach consist of two
steps:
1. using heuristics, we find the approximate position of the upper body;
2. using neural network regression, we clarify the position of the upper body.
The First Step In our heuristics we are using the following fact from anatomy: the width of
a person’s body is on average three times the width of a person’s head, and the height of a
person’s body is on average eight times the height of a person’s head.</p>
        <p>Under the upper part of the human body in this work, we understand the part of the body
that is equal in height to two heights of the human head, then:
upperBodyleft = headleft − headwidth,</p>
        <p>upperBodytop = headtop,
upperBodywidth = 3 · headwidth,
upperBodyheight = 2 · headheight,
(1)
(2)
(3)
(4)
where (headleft, headtop, headwidth, headheight) — the coordinates of the head bounding box and
(upperBodyleft, upperBodytop, upperBodywidth, upperBodyheight) — the coordinates of the upper
body bounding box.</p>
        <p>The Second Step At the second step we specify the exact position of the upper body bounding
box, obtained in the previous step. To do this, we developed neural network to regress two
coordinates: the left and right extreme points of the upper part of the human body (upperBodyregLeft
and upperBodyregRight, respectively). This coordinate refinement is especially important if the
person on the frame is standing in profile (see fig. 2). The fig. 3 shows the architecture of
the proposed neural network for upper body regression. Our regression neural network has a
simple architecture, because we need our algorithm for estimating waiting time in queue to
work in real time. Despite the simple architecture, the proposed neural network has a good
regression quality.</p>
        <p>As a result, we have the final coordinates of the upper body bounding box, which is
further used in re-identification algorithm: (upperBodyregLeft, upperBodytop, upperBodyregWidth,
upperBodyheight), where upperBodyregWidth = upperBodyregRight − upperBodyregLeft.</p>
        <p>MobileNetV2
t
u
o
p
o
r
D</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Re-ID Appearance Embeddings</title>
        <p>
          Re-identification Neural Network We use the solution from [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ] as the baseline for person
re-identification, because this algorithm has high performance in the re-identification task and it
works quickly, which is important in the problem we are solving. We applied two modifications
to the baseline:
• ResNet50 was replaced by Res2Net50 [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], because the second neural network has a
higher quality on the classification task, but at the same time it is slightly slower in speed
than ResNet50;
• we use FIDI Loss [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ] instead of Triplet Loss and Center Loss [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ] in the baseline. This
loss function greatly penalizes small diferences between images, which is very important
for the re-identification task.
        </p>
        <p>Upper Body Random Size Augmentation Consider, for example, the case of full body
reidentification. Usually, when training a neural network, images are used for re-identification, in
which people are represented in full growth. However, in real-world scenarios, due to occlusions
(or detector mistakes), there may be cases where the detector finds only a part of the body, for
example, only the upper part of the body. The use of such detections for re-identification can
seriously reduce the quality of person re-identification, since the neural network has previously
“seen” people only in full growth.</p>
        <p>The same is possible for person re-identification by upper body. To solve this problem, we
introduce a novel upper body random size augmentation to improve re-identification
performance in real-world scenarios. The main idea of the proposed augmentation is to randomly
change the boundaries of the upper body bounding box (see fig. 4).</p>
        <p>Let (left1, top1, width1, height1) — the coordinates of the upper body bbox obtained by the
regressor, (left2, top2, width2, height2) — the coordinates of the upper body bbox after using
the proposed augmentation, width and height — width and height of the full body bbox, then:
left2 = max(0, left1 +  1 · (− width1, width1)),
top2 = max(0, top1 +  2 · (− height1, height1)),
width2 = min(width, left1 + width1 +  3 · (− width1, width1)) − left2,
height2 = min(height, top1 + height1 +  4 · (− height1, height1)) − top2,
where  1,  2,  3,  4 — pre-selected constants, in this paper we use  1 =  3 =  4 = 0.25 and
 2 = 0.05, and (, ) is a function that returns a random integer value  ∈ [, ].
(5)
(6)
(7)
(8)
(9)
(10)</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experiments</title>
      <sec id="sec-4-1">
        <title>4.1. Datasets</title>
        <p>
          Upper Body Regression To train our regression neural network (see section 3.2) we used a
modified CrowdHuman public dataset [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. Our modifications are as follows:
        </p>
      </sec>
      <sec id="sec-4-2">
        <title>3.4. Tracking</title>
        <p>
          We use the solution from [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ] as the baseline for object tracking. Baseline works in online
mode and use Hungarian algorithm [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] to match detections. In this work, we use appearance
embeddings obtained using the upper body re-identification algorithm to bind detections on
new frames with existing tracks or to create new tracks. For each track we store 100 most recent
re-identification descriptors that were used to bind new detections to the track.
        </p>
        <p>Let {}=1 is a set of re-identification descriptors for detections on new frame and { }=1

is a set of lists of re-identification descriptors for all existing tracks. Let’s set the cost matrix
 ∈ R×  as follows:
, =</p>
        <p>max (,  ), where  ∈ { } =1,  ∈ [1,  ],  ∈ [1,  ],
 ∈ 
 [, ] =
{︃ , , if , ⩾ ℎ
0,
else
,  ∈ [1,  ],  ∈ [1,  ],
where ℎ is the threshold for the cosine similarity, in this article we use ℎ = 0.4. Next, for
cost matrix  the assignment problem is solved using the Hungarian algorithm to maximize
cost.</p>
        <p>
          1. using the head detector (see section 3.1), head detections were obtained for each image;
2. using the Detectron2 [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ], body detections and segmentation masks were obtained for
each image;
3. using a heuristic from [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ], the head and body detections were mapped for each image;
4. using our heuristic (see section 3.2), the approximate positions of the upper bodies were
found for each image. This data was used to make crops for training our upper body
regression neural network;
5. using segmentation masks for the body detections corresponding to the head detections
(according to the detection of the upper body detections), the left and right extreme points
of the upper part of the human body were found for each image. This data was used to
train our upper body regression neural network.
        </p>
        <p>Re-identification To train our re-identification neural network we used a modified MSMT17
[21] public dataset that combined the training and test parts (we named the resulting dataset
MSMT17 Merged). Our modification is as follows: we used our upper body regression neural
network to find the upper body detection for each image. The obtained upper body detections
were used to train person re-identification by upper body.</p>
        <p>Waiting Time Estimation Algorithm To test the entire algorithm proposed in this paper we
need datasets captured by static camera with head tracks markup. Also, the video sequences
should be long enough to evaluate the quality of the estimating waiting time in queue. We used
6 videos from the collection of the Video Analysis Technologies company. These videos are
obtained from real security cameras in stores and other public places where queues are possible,
and allow us to bring testing closer to real-world scenarios. In addition, we have developed an
efective procedure for marking up long real videos. The table 1 provides detailed information
about each test video.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.2. Metrics</title>
        <p>In this paper, we propose a new method for calculating metrics for queue waiting time estimation
algorithms. Our method is as follows:
1. we divide videos to segments of equal length  seconds (with the possible exception of
the last segment). In this paper,  = 300 seconds;
2. for each segment we calculate   = max∈    () and   = max∈    (),
where    and    are sets of the ground truth and predicted tracks on the
segment, respectively. () is the lifetime of the track  on the segment. That is, for each
segment in the ground truth and the results of the algorithm, a track with the maximum
lifetime on the segment is sought. Important: track lifetimes are end-to-end, meaning
they are shared across the entire video, not separate for each segment;
3. for each segment we calculate the absolute and relative error:
 = |  − |,
 =
 ;

  =
  =
∑︀=1</p>
        <p>,
∑︀=1 

4. for the entire video we calculate the mean absolute error and mean relative error in
percentage:
where  is the number of segments.</p>
      </sec>
      <sec id="sec-4-4">
        <title>4.3. Experimental Results</title>
        <p>
          In this section, we present experimental results for the entire proposed algorithm. We consider
4 types of experiments:
• Detectron2 Det. — in this experiments, we used person re-identification by full body
and detections from Detectron2 [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ];
• Upper Body Heuristic Det. — in this experiments, we used person re-identification by
upper body and detections from our heuristic (see section 3.2);
• Upper Body Reg. Det. — in this experiments, we used person re-identification by upper
body and detections from proposed neural network for upper body regression (see section
3.2);
• Upper Body Reg. Det. and UBRSA — in this experiments, we used person
reidentification by upper body with a new Upper Body Random Size Augmentation (see
section 3.3) and detections from proposed neural network for upper body regression (see
section 3.2).
        </p>
        <p>The table 2 provides detailed information on the results of each of the above experiments.</p>
        <p>The experimental evaluation shows that our hypothesis that the upper parts of the body are
seen better than the full bodies in the queues is correct. In addition, huge error in experiments
with re-identification by full body and detections from Detectron2 related to the fact described
in the section 3.3.</p>
        <p>A comparison of the results of experiments with heuristic upper body detections and
experiments with neural network upper body detections shows that the proposed regression
strategy has a positive efect on the quality of estimating waiting time. This is because heuristic
detections often have wide bboxes that either get a lot of background or other people into them
(see fig. 2). And this entails a re-identification error.</p>
        <p>The experimental evaluation shows that the proposed Upper Body Random Size Augmentation
for person re-identification also has a positive efect on the quality of estimating waiting time,
since this augmentation solves the problem described in the section 3.3. Solving this problem
allows us to reduce the number of broken tracks and, as a result, improve the quality of object
tracking.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>We have proposed the algorithm to estimating waiting time in queue based on object tracking
and person re-identification by upper body. Using re-identification allows us to perform video
analytics on sparse frames and thereby increase the computational eficiency of the estimation
algorithm. In this work, we have introduced a method for calculating metrics for queue waiting
time estimation algorithms. In addition, we have proposed a novel upper body regression
by head, upper body random size augmentation to improve re-identification performance in
real-world scenarios, which improved quality of the algorithm.
[21] L. Wei, S. Zhang, W. Gao, Q. Tian, Person transfer gan to bridge domain gap for person
re-identification, 2018. arXiv:1711.08565.</p>
    </sec>
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