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<front>
<journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</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/hess-16-345-2012</article-id>
<title-group>
<article-title>Technical Note: How image processing facilitates the rising bubble technique for discharge measurement</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hilgersom</surname>
<given-names>K. P.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Luxemburg</surname>
<given-names>W. M. J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Water Resources Section, Faculty of Civil Engineering and Geosciences, Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands</addr-line>
</aff>
<pub-date pub-type="epub">
<day>06</day>
<month>02</month>
<year>2012</year>
</pub-date>
<volume>16</volume>
<issue>2</issue>
<fpage>345</fpage>
<lpage>356</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 K. P. Hilgersom</copyright-statement>
<copyright-year>2012</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://hess.copernicus.org/articles/16/345/2012/hess-16-345-2012.html">This article is available from https://hess.copernicus.org/articles/16/345/2012/hess-16-345-2012.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/16/345/2012/hess-16-345-2012.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/16/345/2012/hess-16-345-2012.pdf</self-uri>
<abstract>
<p>In this article, we rehabilitate the integrating rising bubble technique
as an effective means of obtaining discharge measurements. Since Sargent (1981, 1982a),
the technique has not been applied widely, mainly as a result of practical
difficulties. We hypothesize that modern image processing techniques
can greatly improve the rising bubble technique. We applied the technique
in both a laboratory setup and a field study, after determining the
bubble rising velocity for our nozzles in the specific case. During
our measurements, we captured digital photographs of the bubble envelope
at the water surface, each picture being a single measurement of the
discharge. The photographs were corrected for lens distortion and
reprojected so that accurate distances on water surface level could
be obtained. This easy digital procedure resulted in accurate discharge
measurements, even when turbulence was involved and the averages of
multiple image analyses yielded good results. The study shows that
the rising bubble technique can be a preferable discharge gauging
technique in some situations. Recent developments in image processing
facilitate the method substantially.</p>
</abstract>
<counts><page-count count="12"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Aybers, N. and Tapucu, A.: The motion of gas bubbles rising through stagnant liquid, Wärme. Stoffübertrag., 2, 118–128, 1969{a}.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Aybers, N. and Tapucu, A.: Studies on the drag and shape of gas bubbles rising through a stagnant liquid, Wärme. Stoffübertrag., 2, 171–177, 1969{b}.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Brown, D.: Decentering Distortion of Lenses, Photogramm. Eng., 32, 444–462, 1966.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Brown, D.: Close- range camera calibration, Photogramm. Eng., 37, 855–866, 1971.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">De&amp;nbsp;Villiers, J., Leuschner, F., and Geldenhuys, R.: Centi-pixel accurate real-time inverse distortion correction, in: Proceedings of SPIE, 7266, 726611-1–726611-8, 2008.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Devernay, F. and Faugeras, O.: Automatic calibration and removal of distortion from scenes of structured environments, in: Proceedings of SPIE, 2567, 62–72, 1995.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Devernay, F. and Faugeras, O.: Straight lines have to be straight, Mach. Vision Appl., 13, 14–24, 2001.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Fryer, J. and Brown, D.: Lens distortion for close-range photogrammetry, Photogramm. Eng. Rem. S., 52, 51–58, 1986.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Hajos, S.: Neues Verfahren zur Messung kleiner Wassergeschwindigkeiten, Zentralbl. Bauverwaltung, 24, 281–283, 1904 (in German).</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Herschy, R.: Hydrometry; principles and practices, Wiley Interscience, 1978.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Herschy, R.: Streamflow measurement, Taylor &amp; Francis, 1995.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Janssen, L. and Warmoeskerken, M.: Transport phenomena data companion, Delftse Universitaire Pers., 1997.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Lehrer, J.: A theoretical criterion of transition in the free motion of single bubbles and drops, AIChE J., 26, 170–172, 1980.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Liu, H. and Morris, C. D.: Integrating-float measurements in turbulent flows, J. Hydr. Eng. Div.-ASCE, 96, 565–572, 1970.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Neale, W., Hessel, D., and Terpstra, T.: Photogrammetric Measurement Error Associated with Lens Distortion, in: Accident Reconstruction, 2011, SAE International, 2011-01-0286, &lt;a href=&quot;http://dx.doi.org/10.4271/2011-01-0286&quot;&gt;https://doi.org/10.4271/2011-01-0286&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Nowakowski, A. and Skarbek, W.: Lens radial distortion calibration using homography of central points, in: EUROCON, 2007, the International Conference on &quot;Computer as a Tool&quot;, 340–343, IEEE, 2007.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Sargent, D.: Development of a viable method of stream flow measurement using the integrating float technique, P. I. Civil Eng. Pt.&amp;nbsp;2, 71, 1–15, 1981.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Sargent, D.: Rising air float technique for the measurement of stream discharge, in: Advances in hydrometry, no.&amp;nbsp;134 in IAHS Publ., 153–164, IAHS-AISH P., Exeter, Engl., 1982{a}.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Sargent, D.: The accuracy of streamflow measurements using the rising air float technique., P. I. Civil Eng. Pt.&amp;nbsp;2, 73, 179–182, 1982{b}.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Sargent, D. and Davis, T.: Discussion: The development of a viable method of stream flow measurement using the integrating float technique, P. I. Civil Eng. Pt.&amp;nbsp;2, 71, 949–950, 1981.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Shaw, E.: Hydrology in practice, Routledge, 1994.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Stein, G.: Lens distortion calibration using point correspondences, in: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 602–608, IEEE, Los Alamitos, CA, United States, San Juan, PR, USA, 1997.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Swaminathan, R. and Nayar, S.: Nonmetric calibration of wide-angle lenses and polycameras, Pattern Analysis and Machine Intelligence, IEEE T. Pattern. Anal., 22, 1172–1178, 2000.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Toop, C., Webster, P., and Hawnt, R.: Improved guidelines for the use of the rising air float technique for river gauging, J. Chart. Inst. Water E., 11, 61–66, 1997.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Tsai, R.&amp;nbsp;Y.: Versatile Camera Calibration Technique for High-Accuracy 3D Machine Vision Metrology Using Off-the-Shelf TV Cameras and Lenses, IEEE Robot. Autom. Mag., RA-3, 323–344, 1987.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Viol, V. and Semenov, V.: Experiments in measuring discharges in canals by the photo-integration method, Soviet Hydrol. Selected Pap., 2, 198–199, 1964.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Wesselingh, J.: The velocity of particles, drops and bubbles, Chem. Eng. Process.: Process Intensification, 21, 9–14, 1987.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Wolberg, G., of&amp;nbsp;Electrical, I., and Society, E. E.&amp;nbsp;C.: Digital image warping, vol.&amp;nbsp;3, IEEE Computer Society Press New York, 1990.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Yannopoulos, P., Demetracopoulos, A., and Hadjitheodorou, C.: Quick method for open-channel discharge measurements using air bubbles, J. Hydraul. Eng.-ASCE, 134, 843–846, 2008.</mixed-citation>
</ref>
</ref-list>
</back>
</article>