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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">JDS</journal-id>
<journal-title-group><journal-title>Journal of Data Science</journal-title></journal-title-group>
<issn pub-type="epub">1683-8602</issn><issn pub-type="ppub">1680-743X</issn><issn-l>1680-743X</issn-l>
<publisher>
<publisher-name>School of Statistics, Renmin University of China</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">JDS1139</article-id>
<article-id pub-id-type="doi">10.6339/24-JDS1139</article-id>
<article-categories><subj-group subj-group-type="heading">
<subject>Statistical Data Science</subject></subj-group></article-categories>
<title-group>
<article-title>Image Registration for Zooming Using Similarity Matching</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Das</surname><given-names>Sujay</given-names></name><xref ref-type="aff" rid="j_jds1139_aff_001">1</xref>
</contrib>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1655-3534</contrib-id>
<name><surname>Mukherjee</surname><given-names>Partha Sarathi</given-names></name><email xlink:href="mailto:psmukherjee.statistics@gmail.com">psmukherjee.statistics@gmail.com</email><xref ref-type="aff" rid="j_jds1139_aff_001">1</xref><xref ref-type="corresp" rid="cor1">∗</xref>
</contrib>
<aff id="j_jds1139_aff_001"><label>1</label>Interdisciplinary Statistical Research Unit, <institution>Indian Statistical Institute, Kolkata</institution>, <country>India</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>∗</label>Corresponding author. Email: <ext-link ext-link-type="uri" xlink:href="mailto:psmukherjee.statistics@gmail.com">psmukherjee.statistics@gmail.com</ext-link>.</corresp>
</author-notes>
<pub-date pub-type="ppub"><year>2024</year></pub-date><pub-date pub-type="epub"><day>28</day><month>6</month><year>2024</year></pub-date><volume>22</volume><issue>4</issue><fpage>558</fpage><lpage>574</lpage><supplementary-material id="S1" content-type="archive" xlink:href="jds1139_s001.zip" mimetype="application" mime-subtype="x-zip-compressed">
<caption>
<title>Supplementary Material</title>
<p>The supplementary materials contain the codes and relevant data.</p>
</caption>
</supplementary-material><history><date date-type="received"><day>31</day><month>3</month><year>2024</year></date><date date-type="accepted"><day>26</day><month>4</month><year>2024</year></date></history>
<permissions><copyright-statement>2024 The Author(s). Published by the School of Statistics and the Center for Applied Statistics, Renmin University of China.</copyright-statement><copyright-year>2024</copyright-year>
<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>Open access article under the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">CC BY</ext-link> license.</license-p></license></permissions>
<abstract>
<p>Image registration techniques are used for mapping two images of the same scene or image objects to one another. There are several image registration techniques available in the literature for registering rigid body as well as non-rigid body transformations. A very important image transformation is zooming in or out which also called scaling. Very few research articles address this particular problem except a number of feature-based approaches. This paper proposes a method to register two images of the same image object where one is a zoomed-in version of the other. In the proposed intensity-based method, we consider a circular neighborhood around an image pixel of the zoomed-in image, and search for the pixel in the reference image whose circular neighborhood is most similar to that of the neighborhood in the zoomed-in image with respect to various similarity measures. We perform this procedure for all pixels in the zoomed-in image. On images where the features are small in number, our proposed method works better than the state-of-the-art feature-based methods. We provide several numerical examples as well as a mathematical justification in this paper which support our statement that this method performs reasonably well in many situations.</p>
</abstract>
<kwd-group>
<label>Keywords</label>
<kwd>local similarity</kwd>
<kwd>non-rigid body transformation</kwd>
<kwd>scaling transformation</kwd>
<kwd>similarity measure</kwd>
</kwd-group>
</article-meta>
</front>
<back>
<ref-list id="j_jds1139_reflist_001">
<title>References</title>
<ref id="j_jds1139_ref_001">
<mixed-citation publication-type="chapter"> <string-name><surname>Alcantarilla</surname> <given-names>PF</given-names></string-name>, <string-name><surname>Bartoli</surname> <given-names>A</given-names></string-name>, <string-name><surname>Davison</surname> <given-names>AJ</given-names></string-name> (<year>2012</year>). <chapter-title>Kaze features</chapter-title>. In: <source><italic>Computer Vision–ECCV 2012: 12th European Conference on Computer Vision, Florence, Italy, October 7-13, 2012, Proceedings, Part VI 12</italic></source>, <fpage>214</fpage>–<lpage>227</lpage>. <publisher-name>Springer</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_002">
<mixed-citation publication-type="journal"> <string-name><surname>Alcantarilla</surname> <given-names>PF</given-names></string-name>, <string-name><surname>Solutions</surname> <given-names>T</given-names></string-name> (<year>2011</year>). <article-title>Fast explicit diffusion for accelerated features in nonlinear scale spaces</article-title>. <source><italic>IEEE Transanctions on Pattern Analysis and Machine Intelligence</italic></source>, <volume>34</volume>(<issue>7</issue>): <fpage>1281</fpage>–<lpage>1298</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_003">
<mixed-citation publication-type="journal"> <string-name><surname>Alpert</surname> <given-names>N</given-names></string-name>, <string-name><surname>Bradshaw</surname> <given-names>J</given-names></string-name>, <string-name><surname>Kennedy</surname> <given-names>D</given-names></string-name>, <string-name><surname>Correia</surname> <given-names>J</given-names></string-name> (<year>1990</year>). <article-title>The principal axes transformation—a method for image registration</article-title>. <source><italic>Journal of Nuclear Medicine</italic></source>, <volume>31</volume>(<issue>10</issue>): <fpage>1717</fpage>–<lpage>1722</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_004">
<mixed-citation publication-type="chapter"> <string-name><surname>Ashburner</surname> <given-names>J</given-names></string-name>, <string-name><surname>Friston</surname> <given-names>KJ</given-names></string-name> (<year>2007</year>). <chapter-title>Rigid body registration</chapter-title>. In: <source><italic>Statistical Parametric Mapping: The Analysis of Functional Brain Images</italic></source>, <fpage>49</fpage>–<lpage>62</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_005">
<mixed-citation publication-type="journal"> <string-name><surname>Bay</surname> <given-names>H</given-names></string-name>, <string-name><surname>Ess</surname> <given-names>A</given-names></string-name>, <string-name><surname>Tuytelaars</surname> <given-names>T</given-names></string-name>, <string-name><surname>Van Gool</surname> <given-names>L</given-names></string-name> (<year>2008</year>). <article-title>Speeded-up robust features (surf)</article-title>. <source><italic>Computer Vision and Image Understanding</italic></source>, <volume>110</volume>(<issue>3</issue>): <fpage>346</fpage>–<lpage>359</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1016/j.cviu.2007.09.014" xlink:type="simple">https://doi.org/10.1016/j.cviu.2007.09.014</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_006">
<mixed-citation publication-type="journal"> <string-name><surname>Brown</surname> <given-names>LG</given-names></string-name> (<year>1992</year>). <article-title>A survey of image registration techniques</article-title>. <source><italic>ACM Computing Surveys (CSUR)</italic></source>, <volume>24</volume>(<issue>4</issue>): <fpage>325</fpage>–<lpage>376</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1145/146370.146374" xlink:type="simple">https://doi.org/10.1145/146370.146374</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_007">
<mixed-citation publication-type="journal"> <string-name><surname>Crum</surname> <given-names>WR</given-names></string-name>, <string-name><surname>Hartkens</surname> <given-names>T</given-names></string-name>, <string-name><surname>Hill</surname> <given-names>D</given-names></string-name> (<year>2004</year>). <article-title>Non-rigid image registration: Theory and practice</article-title>. <source><italic>The British Journal of Radiology</italic></source>, <volume>77</volume>(<issue>suppl_2</issue>): <fpage>S140</fpage>–<lpage>S153</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1259/bjr/25329214" xlink:type="simple">https://doi.org/10.1259/bjr/25329214</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_008">
<mixed-citation publication-type="journal"> <string-name><surname>D’agostino</surname> <given-names>E</given-names></string-name>, <string-name><surname>Maes</surname> <given-names>F</given-names></string-name>, <string-name><surname>Vandermeulen</surname> <given-names>D</given-names></string-name>, <string-name><surname>Suetens</surname> <given-names>P</given-names></string-name> (<year>2003</year>). <article-title>A viscous fluid model for multimodal non-rigid image registration using mutual information</article-title>. <source><italic>Medical Image Analysis</italic></source>, <volume>7</volume>(<issue>4</issue>): <fpage>565</fpage>–<lpage>575</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1016/S1361-8415(03)00039-2" xlink:type="simple">https://doi.org/10.1016/S1361-8415(03)00039-2</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_009">
<mixed-citation publication-type="journal"> <string-name><surname>Das</surname> <given-names>S</given-names></string-name>, <string-name><surname>Roy</surname> <given-names>A</given-names></string-name>, <string-name><surname>Mukherjee</surname> <given-names>PS</given-names></string-name> (<year>2024</year>). <article-title>Image registration for zooming: A statistically consistent local feature mapping approach</article-title>. <source><italic>Stat</italic></source>, <volume>13</volume>(<issue>1</issue>): <fpage>e664</fpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1002/sta4.664" xlink:type="simple">https://doi.org/10.1002/sta4.664</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_010">
<mixed-citation publication-type="journal"> <string-name><surname>De Castro</surname> <given-names>E</given-names></string-name>, <string-name><surname>Morandi</surname> <given-names>C</given-names></string-name> (<year>1987</year>). <article-title>Registration of translated and rotated images using finite Fourier transforms</article-title>. <source><italic>IEEE Transactions on Pattern Analysis and Machine Intelligence</italic></source>, <volume>PAMI–9</volume>(<issue>5</issue>): <fpage>700</fpage>–<lpage>703</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_011">
<mixed-citation publication-type="journal"> <string-name><surname>Derpanis</surname> <given-names>KG</given-names></string-name> (<year>2010</year>). <article-title>Overview of the ransac algorithm</article-title>. <source><italic>Image Rochester NY</italic></source>, <volume>4</volume>(<issue>1</issue>): <fpage>2</fpage>–<lpage>3</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_012">
<mixed-citation publication-type="journal"> <string-name><surname>Eddyy</surname> <given-names>WF</given-names></string-name>, <string-name><surname>Fitzgerald</surname> <given-names>M</given-names></string-name>, <string-name><surname>Noll</surname> <given-names>DC</given-names></string-name> (<year>1996</year>). <article-title>Improved image registration by using Fourier interpolation</article-title>. <source><italic>Magnetic Resonance in Medicine</italic></source>, <volume>36</volume>(<issue>6</issue>): <fpage>923</fpage>–<lpage>931</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1002/mrm.1910360615" xlink:type="simple">https://doi.org/10.1002/mrm.1910360615</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_013">
<mixed-citation publication-type="chapter"> <string-name><surname>Gaens</surname> <given-names>T</given-names></string-name>, <string-name><surname>Maes</surname> <given-names>F</given-names></string-name>, <string-name><surname>Vandermeulen</surname> <given-names>D</given-names></string-name>, <string-name><surname>Suetens</surname> <given-names>P</given-names></string-name> (<year>1998</year>). <chapter-title>Non-rigid multimodal image registration using mutual information</chapter-title>. In: <source><italic>International Conference on Medical Image Computing and Computer-Assisted Intervention</italic></source>, <fpage>1099</fpage>–<lpage>1106</lpage>. <publisher-name>Springer</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_014">
<mixed-citation publication-type="journal"> <string-name><surname>Hill</surname> <given-names>DL</given-names></string-name>, <string-name><surname>Batchelor</surname> <given-names>PG</given-names></string-name>, <string-name><surname>Holden</surname> <given-names>M</given-names></string-name>, <string-name><surname>Hawkes</surname> <given-names>DJ</given-names></string-name> (<year>2001</year>). <article-title>Medical image registration</article-title>. <source><italic>Physics in Medicine and Biology</italic></source>, <volume>46</volume>(<issue>3</issue>): <fpage>R1</fpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1088/0031-9155/46/3/201" xlink:type="simple">https://doi.org/10.1088/0031-9155/46/3/201</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_015">
<mixed-citation publication-type="chapter"> <string-name><surname>Leutenegger</surname> <given-names>S</given-names></string-name>, <string-name><surname>Chli</surname> <given-names>M</given-names></string-name>, <string-name><surname>Siegwart</surname> <given-names>RY</given-names></string-name> (<year>2011</year>). <chapter-title>Brisk: Binary robust invariant scalable keypoints</chapter-title>. In: <source><italic>2011 International Conference on Computer Vision</italic></source>, <fpage>2548</fpage>–<lpage>2555</lpage>. <publisher-name>Ieee</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_016">
<mixed-citation publication-type="journal"> <string-name><surname>Lowe</surname> <given-names>DG</given-names></string-name> (<year>2004</year>). <article-title>Distinctive image features from scale-invariant keypoints</article-title>. <source><italic>International Journal of Computer Vision</italic></source>, <volume>60</volume>: <fpage>91</fpage>–<lpage>110</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1023/B:VISI.0000029664.99615.94" xlink:type="simple">https://doi.org/10.1023/B:VISI.0000029664.99615.94</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_017">
<mixed-citation publication-type="chapter"> <string-name><surname>Matabosch</surname> <given-names>C</given-names></string-name>, <string-name><surname>Salvi</surname> <given-names>J</given-names></string-name>, <string-name><surname>Fofi</surname> <given-names>D</given-names></string-name>, <string-name><surname>Meriaudeau</surname> <given-names>F</given-names></string-name> (<year>2005</year>). <chapter-title>Range image registration for industrial inspection</chapter-title>. In: <source><italic>Machine Vision Applications in Industrial Inspection XIII</italic></source>, volume <volume>5679</volume>, <fpage>216</fpage>–<lpage>227</lpage>. <publisher-name>SPIE</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_018">
<mixed-citation publication-type="journal"> <string-name><surname>Oliveira</surname> <given-names>FP</given-names></string-name>, <string-name><surname>Tavares</surname> <given-names>JMR</given-names></string-name> (<year>2014</year>). <article-title>Medical image registration: A review</article-title>. <source><italic>Computer Methods in Biomechanics and Biomedical Engineering</italic></source>, <volume>17</volume>(<issue>2</issue>): <fpage>73</fpage>–<lpage>93</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1080/10255842.2012.670855" xlink:type="simple">https://doi.org/10.1080/10255842.2012.670855</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_019">
<mixed-citation publication-type="journal"> <string-name><surname>Pataky</surname> <given-names>TC</given-names></string-name>, <string-name><surname>Goulermas</surname> <given-names>JY</given-names></string-name>, <string-name><surname>Crompton</surname> <given-names>RH</given-names></string-name> (<year>2008</year>). <article-title>A comparison of seven methods of within-subjects rigid-body pedobarographic image registration</article-title>. <source><italic>Journal of Biomechanics</italic></source>, <volume>41</volume>(<issue>14</issue>): <fpage>3085</fpage>–<lpage>3089</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1016/j.jbiomech.2008.08.001" xlink:type="simple">https://doi.org/10.1016/j.jbiomech.2008.08.001</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_020">
<mixed-citation publication-type="journal"> <string-name><surname>Pluim</surname> <given-names>JP</given-names></string-name>, <string-name><surname>Maintz</surname> <given-names>JA</given-names></string-name>, <string-name><surname>Viergever</surname> <given-names>MA</given-names></string-name> (<year>2003</year>). <article-title>Mutual-information-based registration of medical images: A survey</article-title>. <source><italic>IEEE Transactions on Medical Imaging</italic></source>, <volume>22</volume>(<issue>8</issue>): <fpage>986</fpage>–<lpage>1004</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1109/TMI.2003.815867" xlink:type="simple">https://doi.org/10.1109/TMI.2003.815867</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_021">
<mixed-citation publication-type="journal"> <string-name><surname>Qiu</surname> <given-names>P</given-names></string-name>, <string-name><surname>Xing</surname> <given-names>C</given-names></string-name> (<year>2013</year>). <article-title>Feature based image registration using non-degenerate pixels</article-title>. <source><italic>Signal Processing</italic></source>, <volume>93</volume>(<issue>4</issue>): <fpage>706</fpage>–<lpage>720</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1016/j.sigpro.2012.09.013" xlink:type="simple">https://doi.org/10.1016/j.sigpro.2012.09.013</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_022">
<mixed-citation publication-type="journal"> <string-name><surname>Reddy</surname> <given-names>BS</given-names></string-name>, <string-name><surname>Chatterji</surname> <given-names>BN</given-names></string-name> (<year>1996</year>). <article-title>An FFT-based technique for translation, rotation, and scale-invariant image registration</article-title>. <source><italic>IEEE Transactions on Image Processing</italic></source>, <volume>5</volume>(<issue>8</issue>): <fpage>1266</fpage>–<lpage>1271</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1109/83.506761" xlink:type="simple">https://doi.org/10.1109/83.506761</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_023">
<mixed-citation publication-type="chapter"> <string-name><surname>Rublee</surname> <given-names>E</given-names></string-name>, <string-name><surname>Rabaud</surname> <given-names>V</given-names></string-name>, <string-name><surname>Konolige</surname> <given-names>K</given-names></string-name>, <string-name><surname>Bradski</surname> <given-names>G</given-names></string-name> (<year>2011</year>). <chapter-title>Orb: An efficient alternative to sift or surf</chapter-title>. In: <source><italic>2011 International Conference on Computer Vision</italic></source>, <fpage>2564</fpage>–<lpage>2571</lpage>. <publisher-name>Ieee</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_024">
<mixed-citation publication-type="journal"> <string-name><surname>Sotiras</surname> <given-names>A</given-names></string-name>, <string-name><surname>Davatzikos</surname> <given-names>C</given-names></string-name>, <string-name><surname>Paragios</surname> <given-names>N</given-names></string-name> (<year>2013</year>). <article-title>Deformable medical image registration: A survey</article-title>. <source><italic>IEEE Transactions on Medical Imaging</italic></source>, <volume>32</volume>(<issue>7</issue>): <fpage>1153</fpage>–<lpage>1190</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1109/TMI.2013.2265603" xlink:type="simple">https://doi.org/10.1109/TMI.2013.2265603</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_025">
<mixed-citation publication-type="journal"> <string-name><surname>Špiclin</surname> <given-names>Ž</given-names></string-name>, <string-name><surname>Bukovec</surname> <given-names>M</given-names></string-name>, <string-name><surname>Pernuš</surname> <given-names>F</given-names></string-name>, <string-name><surname>Likar</surname> <given-names>B</given-names></string-name> (<year>2011</year>). <article-title>Image registration for visual inspection of imprinted pharmaceutical tablets</article-title>. <source><italic>Machine Vision and Applications</italic></source>, <volume>22</volume>: <fpage>197</fpage>–<lpage>206</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1007/s00138-007-0104-0" xlink:type="simple">https://doi.org/10.1007/s00138-007-0104-0</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_026">
<mixed-citation publication-type="chapter"> <string-name><surname>Wolberg</surname> <given-names>G</given-names></string-name>, <string-name><surname>Zokai</surname> <given-names>S</given-names></string-name> (<year>2000</year>). <chapter-title>Robust image registration using log-polar transform</chapter-title>. In: <source><italic>Proceedings 2000 International Conference on Image Processing (Cat. No. 00CH37101)</italic></source>, volume <volume>1</volume>, <fpage>493</fpage>–<lpage>496</lpage>. <publisher-name>IEEE</publisher-name>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_027">
<mixed-citation publication-type="journal"> <string-name><surname>Wyawahare</surname> <given-names>MV</given-names></string-name>, <string-name><surname>Patil</surname> <given-names>PM</given-names></string-name>, <string-name><surname>Abhyankar</surname> <given-names>HK</given-names></string-name>, <etal>et al.</etal> (<year>2009</year>). <article-title>Image registration techniques: An overview</article-title>. <source><italic>International Journal of Signal Processing, Image Processing and Pattern Recognition</italic></source>, <volume>2</volume>(<issue>3</issue>): <fpage>11</fpage>–<lpage>28</lpage>.</mixed-citation>
</ref>
<ref id="j_jds1139_ref_028">
<mixed-citation publication-type="journal"> <string-name><surname>Xing</surname> <given-names>C</given-names></string-name>, <string-name><surname>Qiu</surname> <given-names>P</given-names></string-name> (<year>2011</year>). <article-title>Intensity-based image registration by nonparametric local smoothing</article-title>. <source><italic>IEEE Transactions on Pattern Analysis and Machine Intelligence</italic></source>, <volume>33</volume>(<issue>10</issue>): <fpage>2081</fpage>–<lpage>2092</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1109/TPAMI.2011.26" xlink:type="simple">https://doi.org/10.1109/TPAMI.2011.26</ext-link></mixed-citation>
</ref>
<ref id="j_jds1139_ref_029">
<mixed-citation publication-type="journal"> <string-name><surname>Zitova</surname> <given-names>B</given-names></string-name>, <string-name><surname>Flusser</surname> <given-names>J</given-names></string-name> (<year>2003</year>). <article-title>Image registration methods: A survey</article-title>. <source><italic>Image and Vision Computing</italic></source>, <volume>21</volume>(<issue>11</issue>): <fpage>977</fpage>–<lpage>1000</lpage>. <ext-link ext-link-type="doi" xlink:href="https://doi.org/10.1016/S0262-8856(03)00137-9" xlink:type="simple">https://doi.org/10.1016/S0262-8856(03)00137-9</ext-link></mixed-citation>
</ref>
</ref-list>
</back>
</article>
