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   <ui>1687-5281-2007-019139</ui>
   <ji>1687-5281</ji>
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      <dochead>Research Article</dochead>
      <bibl>
         <title>
            <p>A Combined PMHT and IMM Approach to Multiple-Point Target Tracking in Infrared Image Sequence</p>
         </title>
         <aug>
            <au id="A1" ca="yes"><snm>Zaveri</snm><fnm>MukeshA</fnm><insr iid="I1"/><email>mazaveri@gmail.com</email></au>
            <au id="A2"><snm>Merchant</snm><fnm>SN</fnm><insr iid="I2"/><email>merchant@ee.iitb.ac.in</email></au>
            <au id="A3"><snm>Desai</snm><fnm>UdayB</fnm><insr iid="I2"/><email>ubdesai@ee.iitb.ac.in</email></au>
         </aug>
         <insg>
            <ins id="I1"><p>Computer Engineering Department, Sardar Vallabhbhai National Institute of Technology, Surat 395007, India</p></ins>
            <ins id="I2"><p>SPANN Laboratory, Electrical Engineering Department, Indian Institute of Technology-Bombay, Powai, Mumbai 400076, India</p></ins>
         </insg>
         <source>EURASIP Journal on Image and Video Processing</source>
         <issn>1687-5281</issn>
         <pubdate>2007</pubdate>
         <volume>2007</volume>
         <issue>1</issue>
         <fpage>019139</fpage>
         <url>http://jivp.eurasipjournals.com/content/2007/1/019139</url>
         <xrefbib><pubid idtype="doi">10.1155/2007/19139</pubid></xrefbib>
      </bibl>
      <history><rec><date><day>18</day><month>8</month><year>2006</year></date></rec><revrec><date><day>28</day><month>4</month><year>2007</year></date></revrec><acc><date><day>30</day><month>7</month><year>2007</year></date></acc><pub><date><day>10</day><month>9</month><year>2007</year></date></pub></history>
      <cpyrt><year>2007</year><collab>Zaveri et al.</collab><note>This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</note></cpyrt>
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            <p>Data association and model selection are important factors for tracking multiple targets in a dense clutter environment. In this paper, we provide an effective solution to the tracking of multiple single-pixel maneuvering targets in a sequence of infrared images by developing an algorithm that combines a sequential probabilistic multiple hypothesis tracking (PMHT) and interacting multiple model (IMM). We explicitly model maneuver as a change in the target's motion model and demonstrate its effectiveness in our tracking application discussed in this paper. We show that inclusion of IMM enables tracking of any arbitrary trajectory in a sequence of infrared images without any a priori special information about the target dynamics. IMM allows us to incorporate <it>different dynamic models</it> for the targets and PMHT helps to avoid the uncertainty about the observation origin. It operates in an iterative mode using expectation-maximization (EM) algorithm. The proposed algorithm uses observation association as missing data.</p>
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      <refgrp><bibl id="B1"><aug><au><snm>Bar-Shalom</snm><fnm>Y</fnm></au><au><snm>Fortmann</snm><fnm>TE</fnm></au></aug><source>Tracking and Data Association</source><publisher>Academic Press, San Diego, Calif, USA</publisher><pubdate>1988</pubdate></bibl><bibl id="B2"><aug><au><snm>Blackman</snm><fnm>S</fnm></au><au><snm>Popoli</snm><fnm>R</fnm></au></aug><source>Design and Analysis of Modern Tracking Systems</source><publisher>Artech House, Boston, Mass, USA</publisher><pubdate>1999</pubdate></bibl><bibl id="B3"><title><p>Kalman filter applications in airborne radar tracking</p></title><aug><au><snm>Pearson</snm><fnm>JB</fnm></au><au><snm>Stear</snm><fnm>EB</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1974</pubdate><volume>10</volume><issue>3</issue><fpage>319</fpage><lpage>329</lpage></bibl><bibl id="B4"><title><p>Information type filters for tracking a maneuvering target</p></title><aug><au><snm>Farooq</snm><fnm>M</fnm></au><au><snm>Bruder</snm><fnm>S</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1990</pubdate><volume>26</volume><issue>3</issue><fpage>441</fpage><lpage>454</lpage><xrefbib><pubid idtype="doi">10.1109/7.106121</pubid></xrefbib></bibl><bibl id="B5"><title><p>Tracking a maneuvering target using input estimation</p></title><aug><au><snm>Bogler</snm><fnm>PL</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1987</pubdate><volume>23</volume><issue>3</issue><fpage>298</fpage><lpage>310</lpage></bibl><bibl id="B6"><title><p>Manoeuvring-target tracking with the Viterbi algorithm in the presence of interference</p></title><aug><au><snm>Demirbas</snm><fnm>K</fnm></au></aug><source>IEE Proceedings F: Radar and Signal Processing</source><pubdate>1989</pubdate><volume>136</volume><issue>6</issue><fpage>262</fpage><lpage>268</lpage><xrefbib><pubid idtype="doi">10.1049/ip-f-2.1989.0040</pubid></xrefbib></bibl><bibl id="B7"><title><p>A tracking algorithm for maneuvering targets</p></title><aug><au><snm>Wang</snm><fnm>TC</fnm></au><au><snm>Varshney</snm><fnm>PK</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1993</pubdate><volume>29</volume><issue>3</issue><fpage>910</fpage><lpage>924</lpage><xrefbib><pubid idtype="doi">10.1109/7.220939</pubid></xrefbib></bibl><bibl id="B8"><title><p>Maneuvering target tracking with colored noise</p></title><aug><au><snm>Wu</snm><fnm>W-R</fnm></au><au><snm>Chang</snm><fnm>D-C</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1996</pubdate><volume>32</volume><issue>4</issue><fpage>1311</fpage><lpage>1320</lpage><xrefbib><pubid idtype="doi">10.1109/7.543852</pubid></xrefbib></bibl><bibl id="B9"><title><p>Enhanced variable dimension filter for maneuvering target tracking</p></title><aug><au><snm>Cloutier</snm><fnm>JR</fnm></au><au><snm>Lin</snm><fnm>C-F</fnm></au><au><snm>Yang</snm><fnm></fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1993</pubdate><volume>29</volume><issue>3</issue><fpage>786</fpage><lpage>797</lpage><xrefbib><pubid idtype="doi">10.1109/7.220930</pubid></xrefbib></bibl><bibl id="B10"><title><p>A maximum likelihood approach to data association</p></title><aug><au><snm>Avitzour</snm><fnm></fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1992</pubdate><volume>28</volume><issue>2</issue><fpage>560</fpage><lpage>566</lpage><xrefbib><pubid idtype="doi">10.1109/7.144581</pubid></xrefbib></bibl><bibl id="B11"><title><p>Maximum likelihood method for probabilistic multihypothesis tracking</p></title><aug><au><snm>Streit</snm><fnm>RL</fnm></au><au><snm>Luginbuhl</snm><fnm>TE</fnm></au></aug><source>Signal and Data Processing of Small Targets, April 1994, Orlando, Fla, USA, Proceedings of SPIE</source><volume>2235</volume><fpage>394</fpage><lpage>405</lpage></bibl><bibl id="B12"><title><p>A formulation of multitarget tracking as an incomplete data problem</p></title><aug><au><snm>Gauvrit</snm><fnm>H</fnm></au><au><snm>Le Cadre</snm><fnm>JP</fnm></au><au><snm>Jauffret</snm><fnm>C</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1997</pubdate><volume>33</volume><issue>4</issue><fpage>1242</fpage><lpage>1257</lpage></bibl><bibl id="B13"><title><p>On maneuvering target tracking via the PMHT</p></title><aug><au><snm>Logothetis</snm><fnm>A</fnm></au><au><snm>Krishnamurthy</snm><fnm>V</fnm></au><au><snm>Holst</snm><fnm>J</fnm></au></aug><source>Proceedings of the 36th IEEE Conference on Decision and Control, December 1997, San Diego, Calif, USA</source><volume>5</volume><fpage>5024</fpage><lpage>5029</lpage></bibl><bibl id="B14"><title><p>The PMHT for maneuvering targets</p></title><aug><au><snm>Willett</snm><fnm>PK</fnm></au><au><snm>Ruan</snm><fnm>Y</fnm></au><au><snm>Streit</snm><fnm>RL</fnm></au></aug><source>Signal and Data Processing of Small Targets, April 1998, Orlando, Fla, USA, Proceedings of SPIE</source><volume>3373</volume><fpage>416</fpage><lpage>427</lpage></bibl><bibl id="B15"><title><p>PMHT: problems and some solutions</p></title><aug><au><snm>Willett</snm><fnm>P</fnm></au><au><snm>Ruan</snm><fnm>Y</fnm></au><au><snm>Streit</snm><fnm>R</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>2002</pubdate><volume>38</volume><issue>3</issue><fpage>738</fpage><lpage>754</lpage><xrefbib><pubid idtype="doi">10.1109/TAES.2002.1039396</pubid></xrefbib></bibl><bibl id="B16"><title><p>The interacting multiple model algorithm for systems with Markovian switching coefficients</p></title><aug><au><snm>Blom</snm><fnm>HAP</fnm></au><au><snm>Bar-Shalom</snm><fnm>Y</fnm></au></aug><source>IEEE Transactions on Automatic Control</source><pubdate>1988</pubdate><volume>33</volume><issue>8</issue><fpage>780</fpage><lpage>783</lpage><xrefbib><pubid idtype="doi">10.1109/9.1299</pubid></xrefbib></bibl><bibl id="B17"><title><p>IMM algorithm for tracking targets that maneuver through coordinated turns</p></title><aug><au><snm>Watson</snm><fnm>GA</fnm></au><au><snm>Blair</snm><fnm>WD</fnm></au></aug><source>Signal and Data Processing of Small Targets, April 1992, Orlando, Fla, USA, Proceedings of SPIE</source><volume>1698</volume><fpage>236</fpage><lpage>247</lpage></bibl><bibl id="B18"><title><p>Evaluation of IMM filtering for an air defense system application</p></title><aug><au><snm>Busch</snm><fnm>MT</fnm></au><au><snm>Blackman</snm><fnm>SS</fnm></au></aug><source>Signal and Data Processing of Small Targets, July 1995, San Diego, Calif, USA, Proceedings of SPIE</source><volume>2561</volume><fpage>435</fpage><lpage>447</lpage></bibl><bibl id="B19"><title><p>Interacting multiple model methods in target tracking: a survey</p></title><aug><au><snm>Mazor</snm><fnm>E</fnm></au><au><snm>Averbuch</snm><fnm>A</fnm></au><au><snm>Bar-Shalom</snm><fnm>Y</fnm></au><au><snm>Dayan</snm><fnm>J</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1998</pubdate><volume>34</volume><issue>1</issue><fpage>103</fpage><lpage>123</lpage><xrefbib><pubid idtype="doi">10.1109/7.640267</pubid></xrefbib></bibl><bibl id="B20"><title><p>Numerically robust implementation of multiple-model algorithms</p></title><aug><au><snm>Li</snm><fnm>XR</fnm></au><au><snm>Zhang</snm><fnm>Y</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>2000</pubdate><volume>36</volume><issue>1</issue><fpage>266</fpage><lpage>278</lpage><xrefbib><pubid idtype="doi">10.1109/7.826329</pubid></xrefbib></bibl><bibl id="B21"><title><p>Comparison of various schema of filter adaptivity for the tracking of maneuvering targets</p></title><aug><au><snm>Jouan</snm><fnm>A</fnm></au><au><snm>Boss&#233;</snm><fnm>E</fnm></au><au><snm>Simard</snm><fnm>M-A</fnm></au><au><snm>Shahbazian</snm><fnm>E</fnm></au></aug><source>Signal and Data Processing of Small Targets, April 1998, Orlando, Fla, USA, Proceedings of SPIE</source><volume>3373</volume><fpage>247</fpage><lpage>258</lpage></bibl><bibl id="B22"><title><p>Kalman filter versus IMM estimator: when do we need the latter?</p></title><aug><au><snm>Kirubarajan</snm><fnm>T</fnm></au><au><snm>Bar-Shalom</snm><fnm>Y</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>2003</pubdate><volume>39</volume><issue>4</issue><fpage>1452</fpage><lpage>1457</lpage><xrefbib><pubid idtype="doi">10.1109/TAES.2003.1261143</pubid></xrefbib></bibl><bibl id="B23"><title><p>PMHT based multiple point targets tracking using multiple models in infrared image sequence</p></title><aug><au><snm>Zaveri</snm><fnm>MA</fnm></au><au><snm>Desai</snm><fnm>UB</fnm></au><au><snm>Merchant</snm><fnm>SN</fnm></au></aug><source>Proceedings of the IEEE Conference on Advanced Video and Signal Based Surveillance (AVSS &apos;03), July 2003, Miami, Fla, USA</source><fpage>73</fpage><lpage>78</lpage></bibl><bibl id="B24"><aug><au><snm>McLachlan</snm><fnm>GJ</fnm></au><au><snm>Krishnan</snm><fnm>T</fnm></au></aug><source>The EM Algorithm and Extensions</source><publisher>John Wiley &amp; Sons, New York, NY, USA</publisher><pubdate>1997</pubdate></bibl><bibl id="B25"><title><p>Maneuvering PMHTs</p></title><aug><au><snm>Ruan</snm><fnm>Y</fnm></au><au><snm>Willett</snm><fnm>PK</fnm></au></aug><source>Signal and Data Processing of Small Targets, July 2001, San Diego, Calif, USA, Proceedings of SPIE</source><volume>4473</volume><fpage>186</fpage><lpage>197</lpage></bibl><bibl id="B26"><title><p>Multiple model PMHT and its application to the second benchmark radar tracking problem</p></title><aug><au><snm>Ruan</snm><fnm>Y</fnm></au><au><snm>Willett</snm><fnm>PK</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>2004</pubdate><volume>40</volume><issue>4</issue><fpage>1337</fpage><lpage>1350</lpage><xrefbib><pubid idtype="doi">10.1109/TAES.2004.1386885</pubid></xrefbib></bibl><bibl id="B27"><title><p>Interacting multiple model integrated probabilistic data association filters (IMM-IPDAF) for track formation on maneuvering targets in cluttered environments</p></title><aug><au><snm>Helmick</snm><fnm>RE</fnm></au><au><snm>Watson</snm><fnm>GA</fnm></au></aug><source>Signal and Data Processing of Small Targets, April 1994, Orlando, Fla, USA, Proceedings of SPIE</source><volume>2235</volume><fpage>460</fpage><lpage>471</lpage></bibl><bibl id="B28"><title><p>Comparison of IMMPDA and IMM-assignment algorithms on real air traffic surveillance data</p></title><aug><au><snm>Kirubarajan</snm><fnm>T</fnm></au><au><snm>Yeddanapudi</snm><fnm>M</fnm></au><au><snm>Bar-Shalom</snm><fnm>Y</fnm></au><au><snm>Pattipati</snm><fnm>KR</fnm></au></aug><source>Signal and Data Processing of Small Targets, April 1996, Orlando, Fla, USA, Proceedings of SPIE</source><volume>2759</volume><fpage>453</fpage><lpage>464</lpage></bibl><bibl id="B29"><title><p>Tracking a 3D maneuvering target with passive sensors</p></title><aug><au><snm>Dufour</snm><fnm>F</fnm></au><au><snm>Mariton</snm><fnm>M</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1991</pubdate><volume>27</volume><issue>4</issue><fpage>725</fpage><lpage>739</lpage><xrefbib><pubid idtype="doi">10.1109/7.85047</pubid></xrefbib></bibl><bibl id="B30"><title><p>IMM/MHT applications to radar and IR multitarget tracking</p></title><aug><au><snm>Blackman</snm><fnm>SS</fnm></au><au><snm>Dempster</snm><fnm>RJ</fnm></au><au><snm>Roszkowski</snm><fnm>SH</fnm></au></aug><source>Signal and Data Processing of Small Targets, July 1997, San Diego, Calif, USA, Proceedings of SPIE</source><volume>3163</volume><fpage>429</fpage><lpage>439</lpage></bibl><bibl id="B31"><title><p>IMM-JVC and IMM-JPDA for closely maneuvering targets</p></title><aug><au><snm>Hadzagic</snm><fnm>M</fnm></au><au><snm>Michalska</snm><fnm>H</fnm></au><au><snm>Jouan</snm><fnm>A</fnm></au></aug><source>Proceedings of the 35th Asilomar Conference on Signals, Systems and Computers, November 2001, Pacific Grove, Calif, USA</source><volume>2</volume><fpage>1278</fpage><lpage>1282</lpage></bibl><bibl id="B32"><title><p>Combining IMM and JPDA for tracking multiple maneuvering targets in clutter</p></title><aug><au><snm>Blom</snm><fnm>HAP</fnm></au><au><snm>Bloem</snm><fnm>EA</fnm></au></aug><source>Proceedings of the 5th International Conference on Information Fusion, July 2002, Annapolis, Md, USA</source><volume>1</volume><fpage>705</fpage><lpage>712</lpage></bibl><bibl id="B33"><title><p>Tracking of multiple maneuvering targets in clutter using multiple sensors, IMM, and JPDA coupled filtering</p></title><aug><au><snm>Tugnait</snm><fnm>JK</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>2004</pubdate><volume>40</volume><issue>1</issue><fpage>320</fpage><lpage>330</lpage><xrefbib><pubid idtype="doi">10.1109/TAES.2004.1292168</pubid></xrefbib></bibl><bibl id="B34"><title><p>PDAF with multiple clutter regions and target models</p></title><aug><au><snm>Colegrove</snm><fnm>SB</fnm></au><au><snm>Davey</snm><fnm>SJ</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>2003</pubdate><volume>39</volume><issue>1</issue><fpage>110</fpage><lpage>124</lpage><xrefbib><pubid idtype="doi">10.1109/TAES.2003.1188897</pubid></xrefbib></bibl><bibl id="B35"><title><p>The expectation-maximization algorithm</p></title><aug><au><snm>Moon</snm><fnm>TK</fnm></au></aug><source>IEEE Signal Processing Magazine</source><pubdate>1996</pubdate><volume>13</volume><issue>6</issue><fpage>47</fpage><lpage>60</lpage><xrefbib><pubid idtype="doi">10.1109/79.543975</pubid></xrefbib></bibl><bibl id="B36"><title><p>Maximum likelihood from incomplete data via the EM algorithm</p></title><aug><au><snm>Dempster</snm><fnm>AP</fnm></au><au><snm>Laird</snm><fnm>NM</fnm></au><au><snm>Rubin</snm><fnm>D</fnm></au></aug><source>Journal of the Royal Statistical Society</source><pubdate>1977</pubdate><volume>39</volume><issue>1</issue><fpage>1</fpage><lpage>38</lpage></bibl><bibl id="B37"><title><p>Synthetic IR scene simulation of air-borne targets</p></title><aug><au><snm>More</snm><fnm>ST</fnm></au><au><snm>Pandit</snm><fnm>AA</fnm></au><au><snm>Merchant</snm><fnm>SN</fnm></au><au><snm>Desai</snm><fnm>UB</fnm></au></aug><source>Proceedings of the 3rd Indian Conference on Computer Vision, Graphics &amp; Image Processing (ICVGIP &apos;02), December 2002, Ahmadabad, India</source><fpage>108</fpage><lpage>113</lpage></bibl><bibl id="B38"><title><p>Multiple single pixel dim target detection in infrared image sequence</p></title><aug><au><snm>Zaveri</snm><fnm>MA</fnm></au><au><snm>Merchant</snm><fnm>SN</fnm></au><au><snm>Desai</snm><fnm>UB</fnm></au></aug><source>Proceedings of the International Symposium on Circuits and Systems (ISCAS &apos;03), May 2003, Bangkok, Thailand</source><volume>2</volume><fpage>380</fpage><lpage>383</lpage></bibl><bibl id="B39"><title><p>Wavelet based detection and its application to tracking in IR sequence</p></title><aug><au><snm>Zaveri</snm><fnm>MA</fnm></au><au><snm>Merchant</snm><fnm>SN</fnm></au><au><snm>Desai</snm><fnm>UB</fnm></au></aug><note>to appear in <it>IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews</it></note></bibl><bibl id="B40"><title><p>Estimating optimal tracking filter performance for manned maneuvering targets</p></title><aug><au><snm>Singer</snm><fnm>RA</fnm></au></aug><source>IEEE Transactions on Aerospace and Electronic Systems</source><pubdate>1970</pubdate><volume>6</volume><issue>4</issue><fpage>473</fpage><lpage>483</lpage></bibl><bibl id="B41"><aug><au><snm>Bar-Shalom</snm><fnm>Y</fnm></au><au><snm>Li</snm><fnm>XR</fnm></au><au><snm>Kirubarajan</snm><fnm>T</fnm></au></aug><source>Estimation with Applications to Tracking and Navigation</source><publisher>John Wiley &amp; Sons, New York, NY, USA</publisher><pubdate>2001</pubdate></bibl></refgrp>
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