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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>An AR Visualization System for Carbon Dioxide Concentration Measurement Using Fixed Sensors and Sensors Mounted on Mobile Robots?</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maho Otsuka</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Monica Perusquía-Hernández</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Naoya Isoyama</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Hideaki Uchiyama</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kiyoshi Kiyokawa</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Nara Institute of Science and Technology</institution>
          ,
          <addr-line>8916-5, Takayama, Ikoma, Nara 630-0192</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Thorough ventilation is one of the measures to prevent COVID-19 infection. CO2 concentration is frequently utilized as a ventilation guideline. In fact, o ce buildings, schools and factorys are increasingly introducing systems that display changes in CO2 concentration values. However, 2D map based visualizations are not enough to understand the progression of indoor air pollution and whether there is a need for ventilation. A 3-Dimensional (3D) measurement is needed to visualize CO2 concentration in space. However, conventional methods have various problems to achieve a 3D measurement, because a large number of sensors are needed to sense the entire room and explicit knowledge of their location. Therefore, an automated method to measure CO2 concentration in 3D is also proposed. We propose a three-dimensional (3D) visualization of CO2 concentration using a head mounted display (HMD). This indoor CO2 concentration method uses both xed sensors and mobile sensors with a CO2 gas sensor module. The visualization facilitates understanding of the temporal changes and spatial distribution of CO2 concentration. A prototype was developed using Microsoft HoloLens 2 as our Augmented Reality (AR) HMD; an iRobot Roomba 600 Series as our autonomous mobile robot at ground level; a William Mark Air Swimmer Shark as our airship robot to get measurements at higher positions; and a M5Stack Gray, a M5Stick C Plus, and TVOC/eCO2 gas sensor unit as CO2 gas sensor modules. Using the position coordinates and measured values of each sensor, a 3D distribution of CO2 concentration is automatically calculated and visualized using the AR-HMD.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Carbon Dioxide</kwd>
        <kwd>Sensor Networks</kwd>
        <kwd>Visualization</kwd>
        <kwd>Augmented Reality</kwd>
        <kwd>Mobile Robots</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <sec id="sec-1-1">
        <title>Therefore, thorough ventilation is considered one of the</title>
        <p>most e ective infection control measures.</p>
        <p>Clean indoor air is essential for human health. Indoor air CO2 concentration can be used as a standard for
inaccounts for more than food and water intake and nearly door ventilation conditions and is advocated to be less
60% of the weight of materials consumed by humans in than 1000 [ppm] [7]. In addition, the magnitude of the
a lifetime [1]. Indoor air quality has a signi cant impact risk of viral infection is correlated with the indoor CO2
on the human body. Proper ventilation behavior is im- concentration, and keeping the indoor CO2
concentraportant to maintain healthy and comfortable indoor air tion low is a good measure against infection [8]. In fact,
quality. Inadequate ventilation causes high carbon diox- the use of CO2 concentration monitors is increasing in
ide (CO2) concentrations, which have adverse e ects on spaces where many people gather, such as o ce
buildthe human body, including headache, drowsiness, carbon ings, schools, and factories. However, 2D map based
monoxide poisoning, and impaired concentration and visualizations are not enough to understand the
progresmemory [2, 3, 4]. At the time of this writing, COVID-19 sion of indoor air pollution and whether there is a need
is a worldwide pandemic, and one of the most common for ventilation. This is especially true for some gas such
risk factors is “closed spaces with poor ventilation” [5]. as CO2 which is not perceivable by the human senses.
COVID-19 spread is caused by inhalation of droplets [6]. Therefore, we propose a three-dimensional (3D)
visualization of CO2 concentration using a head mounted display
APMAR’22: The 14th Asia-Paci cWorkshop on Mixed and Augmented (HMD) to facilitate the understanding of CO2
concenReality, Dec. 02-03, 2022, Yokohama, Japan tration in space. Previously, Burgués et al. proposed a
⇤ Corresponding author. method to visualize the temporal variation of 3D gas
dism.poetrsuuskqau. miaa@hios..onha2is@t.jips.n(Mai.stP.jepru(Msq.uOíat-sHukeran);ández); tributions generated by gas sources located at various
isoyama@is.naist.jp (N. Isoyama); hideaki.uchiyama@is.naist.jp locations [9]. To measure the 3D gas distribution, they
di(H. Uchiyama); kiyo@is.naist.jp (K. Kiyokawa) vided the room into 3D grids, and sensors were placed in
0000-0002-0486-1743 (M. Perusquía-Hernández); each grid. The results show that gas heavier than air does
0000-0002-6535-8439 (N. Isoyama); 0000-0002-6119-1184 not accumulate near the ground surface, and that the gas
(H. Uchiyama); 0000-0003-2260-1707 (K. Kiyokawa)</p>
        <p>© 2022 Copyright for this paper by its authors. Use permitted under Creative Commons License distribution changes drastically with time, regardless of
CPWrEooUrckReshdoinpgs IhStpN:/c1e6u1r3-w-0s.o7r3g ACttEribUutRion W4.0oInrtekrnsahtioonpal (PCCroBYce4.0e).dings (CEUR-WS.org) height. Additionally, Russel et al. proposed a method
Autonomous
Mobile Robot</p>
        <p>Fixed CO2 Sensor Module</p>
        <p>CO2 Sensor Module
for measuring 3D gas distribution using a mobile robot Various methods have been proposed for indoor
enviequipped with a telescopic sensor head [10]. The results ronmental measurement using mobile robots. For
examshowed that the gas was concentrated near the ceiling, ple, Jin et al. used an autonomous mobile robot equipped
even though the gas source was located on the oor. This with sensors for indoor environment monitoring [12].
supports the idea that the dispersion of gas heavier than However, it does not account for inaccessible areas to
air is in uenced by convection. This indicates that 3D the autonomous mobile robot. Therefore, we propose a
measurement is necessary even for CO2, which is heavier measurement method that combines xed sensors and
than air. However, conventional methods require man- mobile robots with sensors.
ual registration of each sensor’s position beforehand. In
addition, conventional methods can only measure the 2.2. CO2 concentration indication system
position of a xed sensor, and a large number of sensors
are required to sense the entire room. Sone proposed a system that displays changes in indoor</p>
        <p>To address these issues, we aim to achieve high-density CO2 concentration on a time-series graph [13]. The
pur3D measurement and visualization without requiring la- pose of the system is to encourage users to voluntarily
borious manual labor. Therefore, we propose an aug- ventilate their room by looking at the measured values
mented reality (AR) visualization system for indoor CO2 on the display, and to close the windows when the
venticoncentration (see Fig. 1) using both xed sensors and lation is su cient. However, as a result, no change in the
sensors mounted on mobile robots that have the follow- user’s ventilation behavior was observed. We expect that
ing characteristics: using AR to superimpose the gas distribution directly in
the air will encourage users to take action.</p>
        <p>2.3. AR visualization systems
• Automatic localization of xed CO2 gas sensors</p>
        <p>in 3D.
• Automatic localization of CO2 gas sensors</p>
        <p>mounted on mobile robots in 3D.
• Interpolation of the measurement to estimate</p>
        <p>dense distribution.
• AR visualization of CO2 concentration
distribution.</p>
        <p>Duan et al. proposed a system that combines an optical
see-through HMD, a motion capture camera, and a laser
gas detector to visualize gas distribution in the real
environment [14]. Their system visualizes in real-time by
mapping the detected gas information on the oor surface
to the color and size of the visualization model. Kataoka
et al. proposed an AR system for real-time measurement
and visualization of 3D sound elds, that are invisible
2. Related Work to the human eye, which combines SLAM (simultaneous
localization and mapping), an optical see-through HMD,
2.1. CO2 concentration measurements and acoustic measurement technology [15]. By
superNumerical uid dynamics models such as CFD simula- imposing the measured sound eld information on the
tions are often used to analyze atmospheric gases. How- real environment, it is possible to present information
ever, there is a large discrepancy between the predicted coherent with the environment. In this study, we use AR
CO2 concentration by CFD simulation and the measured to superimpose objects that represent the observed CO2
value by sensors [11]. Therefore, we measure changes in concentration on the real environment.
CO2 concentration in the real environment.</p>
        <p>Display
Acquisition of position coordinates
for fixed sensors</p>
        <p>CO2 Data</p>
        <p>(OSC)
Acquisition of position coordinates
for mobile sensors</p>
        <p>CO2 concentration
distribution calculation
Coordinate transformation
matrix calculation
QR Code Recognition</p>
        <p>Interpolated</p>
        <p>Data
(OSC)
QR ID Data
Position Data
(OSC)</p>
        <p>Receive interpolated data
Creation of visualization models
Visualization of CO2 concentration</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>3. Proposed System</title>
      <p>corresponding marker. While the user is not looking at
the corresponding marker, the CO2 concentration
disIn this study, we build an AR visualization system for tribution is calculated using the last measurement. An
CO2 concentration using both xed and mobile sensors. external motion tracker can be attached on a mobile
senFigure 2 shows the system con guration. The system sor if continous measurement is desired while the user is
automatically calculates the distribution of CO2 concen- not looking at the marker. Automatic acquisition of the
tration in a room using the position coordinates and mea- position coordinates of each sensor enables automatic
sured values of xed and mobile sensors that patrol the calibration of sensor placement. The visualization space
room. We use UDP-based OpenSound Control (OSC) to is divided into a voxel grid, and the CO2 concentration
communicate the measurement. The visualization model at each grid point is calculated by linear interpolation
corresponding to the calculated CO2 concentration is from the position coordinates and measurements of each
displayed in the form of AR in real-time using an AR- sensor. We render a particle-based smoke-like
visualizaHMD. We believe that many people will be wearing AR tion model based on the calculated CO2 concentration.
glasses in the future. This system can be used for daily The color of the visualization model continuously
corsensing of CO2 concentration in o ces and other indoor responds to the CO2 concentration value. For example,
spaces. The system can also be used to stimulate ven- low CO2 concentrations can be represented by green and
tilation behavior, to help optimize furniture placement, high concentrations by red. The visualization model is
and to improve the layout of air conditioning equipment displayed in the real environment in real-time using the
such as circulators and air puri ers. AR-HMD.</p>
      <p>CO2 concentration is measured using a set of CO2 gas
sensor modules, which consist of a microcomputer and
a CO2 gas sensor. The CO2 concentration distribution 4. Implementation
in a room can be estimated by linear interpolation from
the position coordinates and measured values of xed 4.1. Sensing
sensors (Fig. 1(b)) plased at various locations in the room We implemented a prototype system using several CO2
and the mobile sensors that patrol the room. As a mobile gas sensor modules those xed in various indoor
locasensor, we can use a CO2 sensor module mounted on a tions and those mounted on an autonomous mobile robot
moving object such as an airship robot (Fig. 1(c)) and an (iRobot Roomba 600 Series) and an airship robot (William
autonomous mobile robot (Fig. 1(d)). The position of the Mark Air Swimmer Shark). The CO2 gas sensor modules
sensors can be acquired either by an AR marker attached consist of a M5Stack Gray (120 [g]) and a TVOC/eCO2 gas
on the sensor and a built-in camera of the AR-HMD, or by sensor unit (SGP30). The CO2 concentration is measured
an external motion tracker. Assuming that the AR-HMD at a sampling rate of 1 Hz. The microcomputer for the
can estimate its self position by SLAM, each marker’s CO2 gas sensor module mounted on the airship robot is
position can easily be acquired by simply looking at its a M5Stick C Plus (21 [g]) to reduce weight. TVOC/eCO2
AR marker. One observation is enough for xed sen- gas sensors mainly measure volatile organic compounds
sors. In the case of mobile sensors, the position can be and hydrogen (H2). The eCO2 concentration is calculated
continuously acquired while the user is looking at the
2]/s icnagmtehreaQoRf tchoedeHaMttaDc.hFeodutro ttrhaectkrearcskewriwthitQh
Rthecobdueislt-aint[nm tached are used for calibration. A transformation matrix
ito is calculated from the position coordinates in the HMD
lrea coordinate system and the position coordinates in the
cce tracker coordinate system. The position coordinates of
A the tracker in the coordinate system of the HMD are
calculated using the transformation matrix and obtained
automatically.
based on the H2 concentration. The minimum
measurement value of the sensor is 400 [ppm]. Figure 3 shows
example CO2 concentration and acceleration of the
microcomputer measured while the autonomous robot was
running on the oor for ve minutes. The measured CO2
concentration did not change signi cantly even when
the acceleration changed signi cantly due to collision.</p>
      <sec id="sec-2-1">
        <title>4.2. Localization of fixed sensors</title>
        <sec id="sec-2-1-1">
          <title>AR markers (QR codes) attached to the CO2 gas sensor</title>
          <p>modules are detected by the built-in camera of the HMD
to obtain the position coordinates of xed sensors placed
at various locations in the room. We use a Microsoft
HoloLens 2 as an AR-HMD. Automatic acquisition of
sensor position coordinates enables automatic calibration
of sensor placement.</p>
        </sec>
      </sec>
      <sec id="sec-2-2">
        <title>4.3. Localization of mobile sensors</title>
        <sec id="sec-2-2-1">
          <title>If only xed sensors are used, a large number of sensors</title>
          <p>are required to achieve spatially high-density 3D
measurements. We thought that high-density 3D
measurement could be realized by having a mobile robot mounted
with sensors patrol the room. The positions of the
mobile robots are tracked either by a QR code or by an HTC
VIVE Tracker (for the autonomous robot). In the case
of QR codes, the position can be continuously acquired
while the user is looking at the QR code attached to the
mobile robot. It is discrete data, but can be measured
over a wide range. If continuous measurement is desired
while the user is not looking at the QR code, an external
motion tracker can be attached on the autonomous
mobile robot. CO2 concentration distribution can then be
calculated with higher accuracy.</p>
          <p>Regarding the calibration of the position sensing, rst,
the coordinate system of the tracker is aligned with that
of the HMD. The position coordinates of the tracker in
the coordinate system of the HMD are obtained by
read</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>4.4. Estimation of CO2 concentration</title>
      <p>distribution
The visualization space is divided into a voxel grid, and
the CO2 concentration at each grid point is calculated
by linear interpolation from the position coordinates and
measurements of each sensor. The weighted average
method is used to estimate the value of each grid point
from irregularly distributed measurements [16]. The
weight wp, which is inversely proportional to the square
of the distance rs from each grid point (xi, yj , zk) to the
measurement point by the xed sensors (xs, ys, zs), is
given by Eq. 1:
ws =</p>
      <p>1
(rs2 + ↵ 2)s
where ↵ and s are parameters that specify the weights.
The smaller ↵ , the higher the data su ciency, and the
larger s, the more pronounced the di erence in weights
between the far and near points. The weight wm, which
is inversely proportional to the square of the distance
rm from each grid point (xi, yj , zk) to the measurement
point by the mobile sensors (xm, ym, zm), is decreased
exponentially over time and is forgotten after a certain
time. The exponential decay of the weights is given by
Eq. 2:
wm(t) =</p>
      <p>1
(rm2 + ↵ 2)s
e t
where t is time and is a positive number called the
decay constant. The larger is, the faster wm decreases.
Finally, the CO2 concentration estimation at the grid
point fijk is given by Eq. 3 where Fs is the measured
value by the xed sensor and Fm is the measured value
by the mobile sensor:
fijk =</p>
      <p>PN m=1 wm(t)Fm
s=1 wsFs + PM
PN m=1 wm(t)</p>
      <p>s=1 ws + PM</p>
    </sec>
    <sec id="sec-4">
      <title>4.5. Visualization of CO2 concentration</title>
      <p>distribution
We render a particle-based smoke-like visualization
model based on the calculated CO2 concentration. The
visualization model is displayed in the real environment
(1)
(2)
(3)
in real-time using the AR-HMD as shown in Fig. 4. This
method is considered semi-transparent volume
rendering. It is similar to a traditional splatting technique, but
instead of splatting, the smoke particles are assigned a
color based on the CO2 concentration and opacity. The
size of each voxel is 20 x 20 x 20 cm and the spatial
resolution is coarse, so simply lling the image with a single
color will result in noticeable jaggies. In addition, low
transparency reduces the visibility of the real
environment, while high transparency reduces the visibility of
the visualization. For these reasons, we decided to use
particles for visualization. The color of the smoke
particles is continuously mapped to the CO2 concentration,
for example, green for low and red for high. The transfer
function can be changed by a con guration le
depending on the user preference. The latency for the CO2 gas
sensor measurements to be re ected in the visualization
model is approximately 887 ms.</p>
      <sec id="sec-4-1">
        <title>4.6. User evaluation</title>
        <p>Ten participants in their twenties experienced the
prototype system for about ve to ten minutes. Afterwards, a
10-question questionnaire was administered, consisting
of four questions to investigate awareness of ventilation,
ve questions to evaluate the system, and free-response
questions. In a survey on ventilation awareness, 80%
of respondents indicated that ventilation is important.
However, 90% of the respondents did not know that CO2
concentration should be kept below 1000 [ppm] to
maintain good indoor air quality. This suggests that a means
of communicating the need for ventilation is needed. A
Likert scale of 5-points was adopted for the evaluation
of this system. The questions are shown in Table 1. The
distribution of the survey results is shown in Fig 5. From
the responses collected for Q1, Q2, Q3, and Q4, it can be
concluded that all four categories of visual clarity of high
concentration areas, visual clarity of di erences in
concentration distribution, increased awareness of indoor
air quality, and increased awareness of ventilation show
positive trends. The results of Q5 suggest that AR
visualization may be a more e ective means of communicating
the need for ventilation than conventional methods such
as displaying numerical values on a 2D display. The
following are the main opinions and impressions obtained
from the free writing. Most participants appreciated the
system for ease of understanding the CO2
concentration distribution. Some participants also gave us an idea
for better visualization and additional functions which
encouraged further work.</p>
        <p>• It is easy to see where the CO2 concentration is
high or low, and to feel the gradual change.
• I felt that the visual representation of CO2
concentration emphasized the dangerous state of my
location more than the 2D display.
a
b
c
]
m
p
p
[
2
O
C
]
m
p
p
[
2
O</p>
        <p>C</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Limitations</title>
      <sec id="sec-5-1">
        <title>The color assignment of the visualization model is set to be heuristically easy to see, referring to the recom</title>
        <p>I was able to recognize the location and range of high
CO2 concentrations.</p>
        <p>I was able to visually recognize the di erence between
areas of low and high CO2 concentrations.</p>
        <p>I increased my interest in cleaner indoor air.</p>
        <p>I increased my awareness of ventilation.</p>
        <p>Which do you think is a more e ective means of indicating
the need for ventilation compared to the method of
displaying values on a 2D display?
Responce Type
5-Point Likert
(1:Strongly Disagree; 5:Strongly Agree)
5-Point Likert
(1:Strongly Disagree; 5:Strongly Agree)
5-Point Likert
(1:Strongly Disagree; 5:Strongly Agree)
5-Point Likert
(1:Strongly Disagree; 5:Strongly Agree)
5-Point Likert
(1:2D Display; 5:AR)
sor placement. The CO2 concentration distribution in a
room is estimated by linear interpolation from the
position coordinates and measured values of every sensor.</p>
        <p>The visualization model corresponding to the
automatically calculated CO2 concentration is displayed in the real
environment in real-time using the AR-HMD. We built a
prototype using a Microsoft HoloLens 2 as an AR-HMD,
a William Mark Air Swimmer Shark as an airship robot,
an iRobot Roomba 600 Series as an autonomous mobile
robot, and several CO2 gas sensor modules that consist
of a M5Stack Gray, a M5Stick C Plus and a TVOC/eCO2
gas sensor unit. A preliminary evaluation revealed that
the participants found the system useful and promising.</p>
        <p>High-precision interpolation results can be obtained
as the number of sensors used increases. We plan to
conduct a scalability test to see how many sensors can
be connected to our system. In the future, we plan to
Figure 5: User evaluation results. evaluate the accuracy of linear interpolation under
multiple conditions, such as the number of sensors used, and
when measurements are taken with only xed sensors
mended standard of the Ministry of Health, Labor and or only mobile sensors. In addition, we will evaluate the
Welfare, Japan. However, since it is unclear whether this accuracy of the linear interpolation in the case of
longis the optimal color mapping, we plan to experts for their term measurement. We use a William Mark Air Swimmer
opinions. Another problem that is always present in vol- Shark as the airship robot and an iRobot Roomba 600
Seume rendering is that the depth information is di cult ries as the autonomous mobile robot, but we currently do
to understand due to the information in the foreground. not control their movement. Our system is intended to
We are considering performing thresholding to display be used in an environment where humans coexist with
only the darker areas, or adding a fog e ect to display the robot, so it is necessary to implement an automatic
only a certain amount of the nearby area. patrol method for mobile robots that is compatible with
an environment where humans coexist.</p>
        <p>In the future, we will improve the color mapping for
6. Conclusion and future work better visibility and encouraging ventilation. Our system
can be used as a platform to visualize not only CO2 but
also other gases by changing the sensors mounted on
the measurement modules. In the future, we will also
support other sensors, such as an anemometer to change
the decay rate of mobile sensor readings, and to visualize
human movement and involvement over time.</p>
      </sec>
      <sec id="sec-5-2">
        <title>We have proposed an AR visualization system for indoor</title>
        <p>CO2 concentration distribution using CO2 sensor
modules, mobile robots, and an AR-HMD. In our system, the
position coordinates of xed sensors and mobile sensors
that patrol the room are obtained using a built-in camera
of the AR-HMD, enabling automatic calibration of
senin carbon dioxide concentration in bedrooms,
Procedia Engineering 57 (2013) 175–182. URL:
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