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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Astronomical Images in the Light of Big Data</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Ekaterina Postnikova</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Natalia Chupina</string-name>
          <email>chupina@inasan.ru</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrei Demidov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergei Vereshchagin</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Central Aerological Observatory</institution>
          ,
          <addr-line>Pervomayskaya str., 3, Dolgoprudny, Moscow region</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Astronomy, Russian Academy of Sciences</institution>
          ,
          <addr-line>Pyatnitskaya str., 48, 119017 Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>255</fpage>
      <lpage>265</lpage>
      <abstract>
        <p>The role of Big Data images in astronomy is considered, taking into account the usefulness of information in different periods of time. Estimates of the volume of accumulated data in the form of digitized photographic and CCD images are made. The rate of accumulation of information was analyzed. It is shown that only a small percentage of the obtained images at the present stage is already effectively used. We need the development of tools for intensive use and processing to obtain new knowledge. A convenient center for storing general information and simple search capabilities about the entire set of image archives, built on the principles of FAIR is important as part of the Virtual Observatory. The result of the initial development and creation of an image archive of the Zvenigorod Observatory is presented.</p>
      </abstract>
      <kwd-group>
        <kwd>Big Data</kwd>
        <kwd>Images</kwd>
        <kwd>Intensive processing of image archives</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        Astronomy accumulated a huge amount of information in publications URL [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],
whereas image archives are usually scattered at observatories and institutes. The images
contain unique information about the Universe. This information is unrepeatable and
can be used to solve scientific and other problems. The lack of a single center leads to
the fact that even a professional is hard to find interesting and often necessary data.
      </p>
      <p>With the help of astronomical photographic plates at the present time possible to
open a new objects and phenomena. For examples, processing of photographic plates
can be used to calculate the orbits of moving objects (asteroids, planets, satellites), as
well as to study and search for variable stars, nova and supernova stars.</p>
      <p>The aim of this work is determined from the problems of working with image
archives carried out by us at the Zvenigorod Observatory. These are:</p>
      <p>1) Improving the structure of the available archive of accumulated images obtained
at the telescopes of the Institute of Astronomy RAS. It is important to testing the
structure. The increasing volume of information and ability to combine photos and CCD
images demand the development of using metadata. We need the change the scheme of
his work in the framework of the principles of FAIR (Findable – Accessible –
Interoperable – Reusable).</p>
      <p>2) Estimate and use of the current world practice of storing observation archives in
the field of images of objects of the starry sky. Also, develop and use of options for the
specific storage of archives of various volumes both at small observatories and at the
largest observatories.</p>
      <p>3) Development of a way to include archives into service of the open access and data
retrieval in the totality of astronomical information that is part of the World data.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Photo Images</title>
      <p>
        For more than 100 years, being the pre-CCD era, a large amount of images obtained by
the photo, what was the main method for that period have accumulated. Although many
observatories did not carried out large-scale observation in the modern sense, the
accumulated material yet has large volume, including by the large number of observatories
and telescopes. We will begin consideration with the well-known observatory of our
institute and proceed to the archives of other observatories and, then, to modern
electronic data. More than 100 astronomical observatories operating around the world have
similar archives of images taken on photographic plates. With the help of photographic
plates images have discovered the satellite of Pluto - Charon Christy and Harrington
[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Similarly, now the well-known planets outside the Solar System (exoplanets) were
first found in the photo image by Farihi and Stoop [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>From Photo Observations to Electronic Images at the Zvenigorod Observatory</title>
      <p>
        Photographic images are used along with digital ones. For this it is necessary to convert
them to digital format. For deriving astrometric solutions, object identification and
photometry from digitized photo plates the systems like URL [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] – astrometry.net are used,
other one – SExtractor [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. They include photo-observation, conversion photo into
electronic form and observation with CCD.
      </p>
      <p>
        We have 4500 photo plates. Information from each plate is allocated in the amount
of 1 GB. In total, it turns 0.0045PB. The observatory has two large telescopes.
ASTROGRAPH ZEISS-400 with lens diameter D=40 cm and VAU CAMERA with
mirror diameter D=107 cm. More information and details can be found in URL [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>
        Photographic survey of the Sky (FON [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]) and FOCAT [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] programs) was carried
out from the 1980 to 1992 ys. The FON and FOCAT programs also were used to
determine the coordinates of 113 Galactic radio sources [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>
        The most interesting images are in our archive of comets. Its distinguishing features
are the long series of observations of the brightest comets of the late 20th century
(Halley, Hale-Bopp, Hyakutake, etc.). The Zvenigorod archive has 220 images for 11
comets URL [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. In Fig. 1, we see an example of an image of Hyakutake comet.
We have 4500 photo plates, or 4.5 TB. Zvenigorod Observatory can be considered
to be similar in terms of information to about a hundred more observatories worldwide.
This value will increase two orders and will be approximately 0.5 PB. This, it is easy
to understand, is approximately the total amount of photographic images accumulated
on the small observatories of the World.
      </p>
      <p>The results of modern observation with Zvenigorod robot-telescope are in digital
format, Fig. 2. The stream from the robot-telescope of the one image takes 32 MB.
Photometric observations are carried out, on average, with an exposure of 60 – 120
seconds. From 30 to 60 images are recorded in one hour. Given that the night lasts an
average of 8 hours, we get 23 GB for one night. In our area in the year 27% of nights
are observant, that is, about a hundred nights per year. During this time, you can gain
2.3 TB of information.</p>
      <p>
        Robotic wide-angle (field of view is 10°) system is used for the sky monitoring at
the Zvenigorod Observatory INASAN. It makes possible the automatic observations
according to a predetermined plan. The telescope robot is based on a wide angle
telescope and photo detector with U, B, V, R, I photometric system, Terebizh [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The
angular diameter of the field of view is 10° for the matrix 50 × 50 mm, the focal length
is 395 mm. It has direct drive, [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Extending the knowledge of the Zvenigorod
Observatory to other ones, we can say that total number of CCD images at all small
observatories of the World will be approximately 0.2 PB.
      </p>
      <p>
        Fig. 2. The LO Peg is a young star of the K3 spectral class and is one of the most studied
fast-rotating stars of the late spectral classes. The star is a member of the AB Dor [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] group
of stars with common spatial motion. The star gave its name to the moving group AB
of Golden Fish, a stellar association consisting of approximately 30 stars that move in the same
direction and are approximately the same age. The image was obtained by S.A. Naroenkov
and M.A. Nalivkin
4
      </p>
    </sec>
    <sec id="sec-4">
      <title>Large Surveys, Observatories and Telescopes</title>
      <p>
        The Pan-STARRS (Panoramic Survey Telescope and Rapid Response System) URL
[
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] automatic system consist of four Richie-Chretien telescopes with mirrors of 1.8
meters each and 1.4-gigapixel CCD cameras located on the top of Mauna Kea volcano
on the island of Hawaii. Its archive size is 1.6 PB, which makes it the largest
astronomical data base ever released.
      </p>
      <p>
        Gaia data. A large space project currently underway is a Global Astrometric
Interferometer for Astrophysics (Gaia) URL [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. Now the second Gaia data, Gaia DR2,
have released for approximately 1.7 billion sources brighter than magnitude 21. First
Gaia realize (DR1) consist 1 billion row or 351GB of data and the second Gaia DR2
consist 1.7 billion rows or 1.2TB of data.
      </p>
      <p>
        BTA-6. The Special Astrophysical Observatory is located at a height of 2070 meters
in Karachay-Cherkessia. Mirror-reflector 605 cm, azimuthal mount, [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. The SAO has
a “General Observational Data Archive” URL [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. Roughly it exceed 1 TB. The
Harvard College Observatory Astronomical Plate Stacks URL [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. There are over 500,000
glass photographic plates (memory volume will be a 500 GB).
      </p>
      <p>
        Very Large Telescope (VLT) is located in the Atacama Desert, mountain Paranal,
2635 m (Chilean Andes). And it belongs to the European Southern Observatory (ESO),
which includes 9 European countries. A system consists of four telescopes 8.2 meters
and four auxiliary 1.8 meters. According to luminosity, is equivalent to one device with
a mirror diameter of 16.4 meters This telescope generates an average of 20–25
gigabytes of information per night URL [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. The all archive value equal no more than 25
TВ.
      </p>
      <p>
        Large Binocular Telescope (LBT) is located on Mount Graham, at an altitude of
3321m, in Safford, Arizona (USA). Two mirrors of 8.4 meters with a distance of 14.4
meters, which is in terms of sensitivity is equivalent to one mirror with a diameter of
11.8 m. According to estimates, two telescopes of 8.4 meters both generate 92 GB /
night of data URL [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. The all archive value equal no more than 90 TВ.
      </p>
      <p>
        The Gran Telescopio CANARIAS (GTC) stands on top of the extinct volcano
Muchachos on one of the Canary Islands, at an altitude of 2396 m, [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. The diameter
of the main mirror is 10.4 m. It generate up to 20 MB of data per second. In the course
of a typical night, therefore, it is possible to accumulate up to 720 GB.
      </p>
      <p>
        Hobby-Eberle telescope (HET) has segmented 11x10 m mirror (effective area 9.2
meters), located in the USA (Davis Mountains – 2026 m, Texas). It is equipped with
active optics [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. The data volume was obtained on this instrument at 120 GB / night
and 20 TB in a three year survey [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ].
      </p>
      <p>
        Hubble Space Telescope (HST) was launched in 1990 and should work until 2030.
The diameter of its mirror is only 2.4 m, URL [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]. For 29 years, HST has generated
153 Tb of data.
      </p>
      <p>As a result, a separate position is occupied by the PAN-STAR archive with a
volume of 1.6 PВ. The rest of the total does not exceed 0.35 PВ.</p>
      <p>Fig. 3. The increase of information over time. From the Galileo telescope to the Hubble
Space Telescope. Small circle shows the logarithm of a number of images (N) representing a
full amount of data, and crosses – the volume of data that gave new results. We see that the
effectiveness of the “archives” of images is now far from the same as it was before. If Galileo
made a discovery from almost every image, then a modern telescope gives only one useful
image out of 100,000. The data presented in this figure are estimates only</p>
    </sec>
    <sec id="sec-5">
      <title>The Increase of Requests</title>
      <p>
        On Fig. 3 the growth of information with time and the change in the efficiency of its
use are shown. How many discoveries does astronomical PB contain? Is it true to say
that the percentage of images giving new knowledge fell from 100% Galileo to 10
percent in modern observations? If in the search engine of the Digital Library for Physics
and Astronomy ADS URL [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] we make a request to get the number of publications
with the words “image” and “image&amp;archive”, then we get a number, the dependence
of which on the dates is shown in Fig. 4.
      </p>
      <p>
        As we can see, in Fig. 4 there are no publications about the archives of images before
1980. This is due to the history of digital technology. The CCD was invented in 1969
by Willard Boyle and George Smith at Bell Laboratories (AT &amp; T Bell Labs) URL [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ].
In 1970, Bell Labs researchers learned how to shoot images using simple linear devices.
Soon these devices appeared as light receivers on telescopes. And since the end of
80s, publications about archives began to appear.
      </p>
      <p>
        Just about the images of stars, it was almost always, starting with the book of
Ptolemy [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ]. Although the rapid increase in the number of publications began precisely on
photographic images.
      </p>
      <p>
        In 1839, on January 7, physicist Francois Arago, at a meeting of the Paris Academy
of Sciences, first reported on the invention of daguerotype [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ] by Louis Daguerre and
Nicephorus Niepce. By the decision of the IX International Congress of Scientific and
Applied Photography, this date is considered the day of the invention of photography.
It is after this that we see a rapid increase in the number of publications on the
processing of astronomical photographic images in Fig. 4. As we have said, the number of
publications on archives has dramatically increased since the late 80s. Looking at Fig.
4, we will see that the graph by the number of publications with the words “image” in
the headline also greatly increased its inclination from the same time.
      </p>
      <p>We propose to consider the efficiency of the telescope (the coefficient of efficiency
QE). Obviously, it is determined by the diameter of the mirror / lens -D (the image
quality depends primarily on D) and the speed of information accumulation (delta t,
time spent on accumulation). We get QE=D VTB / delta t. In Fig. 5 shows the
dependence of QE on D.</p>
      <p>The effectiveness of small telescopes, as we see in Fig. 5, differs up to a thousand
times. But even among large telescopes, the QE scatter is large. Table 1 shows data for
various telescopes: mirror on lens diameter, volume of accumulated information
(VTB), the time interval of data accumulation, QE value and log QE. In order to try to
estimate the amount of information extracted from the universe by any telescope, we
came up with an “image production coefficient,” or QE. Let us make the following
assessment for ZEISS-400. About thirty years of operation were received 4.5 TB
information on 40 cm lens. We get a one year by one centimeter of telescope mirror
(objective lens for a refractor, as in this case) image output in bytes QE, or QE for Astrograph
will equal 0.06 TB/(yr cm).
Fig. 5. The logarithm of the efficiency coefficient of the telescope depending on the
diameter of the mirror (or lens)</p>
      <p>It would seem that the accumulation time is an important parameter to get the value
efficiency, but, as determined empirically, it is mainly determined by the diameter of
the telescope, Fig. 5.</p>
    </sec>
    <sec id="sec-6">
      <title>6 Importance of Format, Problem of Identifying</title>
      <p>
        The problem of identifying stars and other objects cannot always be successfully solved
by using automatic identification programs [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ]. In our archive the most interesting
images obtained by long series of observations of comets, Fig. 6. In such cases the
images of stars are obtained extended, which greatly complicates their identification.
      </p>
    </sec>
    <sec id="sec-7">
      <title>Inclusion of Astronomical Image Archives in the World Data</title>
    </sec>
    <sec id="sec-8">
      <title>Center</title>
      <p>
        There are principles for working with data – FAIR Data Principles URL [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ]. These
data principles (stands for findability, accessibility, interoperability, and reusability) are
a set of guidelines to make data searchable, compatible and reusable [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ].
      </p>
      <p>
        It is necessary to create reliable repositories of data, related audit and certification
schemes (for example, Core Trust Seal URL [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ] gives both repository requirements
and a list of the most reliable ones). These demands are from resulting from the
accession to the Data Certificate (DSA) and the certification scheme under the auspices of
the Research Data Alliance (RDA, established to: ensure data sharing, overcoming
technological, national and disciplinary barriers).
8
      </p>
    </sec>
    <sec id="sec-9">
      <title>Conclusions</title>
      <p>The total memory capacity of computer-based storage media required for astronomical
archives – 1.6 PB from Pan-STARRS and 0.35 PB for other large telescopes and
observatories. The share of small observatories accounts for approximately 0.5 PB photo
archives and 0.2 PB for the CCD. In sum, how easy it is to see, 2.65 PB.</p>
      <p>
        It is important to consider the possibilities of connecting to the World Data System.
While it is not traditional for astronomical data. WDS URL [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ] is building worldwide
‘communities of excellence’ for scientific data services by certifying Member
Organizations – holders and providers of data or data products – from wide-ranging fields by
using internationally recognized standards. WDS Members are the building blocks of a
searchable common infrastructure, from which a data system that is both interoperable
and distributed can be formed. This path, if it is actively supported financially by the
government, puts the work with astronomical data before a real choice towards overall
improvement.
      </p>
      <p>Results. 1) The result of the development and creation of an image archive of the
Zvenigorod Observatory is presented.</p>
      <p>2) Astronomical archives of various levels from the small observatories to the largest
telescopes were studied. It is shown that today astronomical images are in archives by
different structure and access, both at many small observatories and at the largest
specialized network resources. A significant part of the images is included in publications,
which causes copyright problems. The possibilities of solving the copyright problem
developed by the scientific community are shown.</p>
      <p>3) A convenient center for storing general information and simple search capabilities
about the entire set of image archives, built on the principles of FAIR, is important as
part of the Virtual Observatory.</p>
    </sec>
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