<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Csaba Molnar</style></author><author><style face="normal" font="default" size="100%">Zoltan Kato</style></author><author><style face="normal" font="default" size="100%">Ian Jermyn</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Jan-Olof Eklundh</style></author><author><style face="normal" font="default" size="100%">Yuichi Ohta</style></author><author><style face="normal" font="default" size="100%">Steven Tanimoto</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">A Multi-Layer Phase Field Model for Extracting Multiple Near-Circular Objects</style></title><secondary-title><style face="normal" font="default" size="100%">International Conference on Pattern Recognition (ICPR)</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year><pub-dates><date><style  face="normal" font="default" size="100%">Nov 2012</style></date></pub-dates></dates><publisher><style face="normal" font="default" size="100%">IEEE</style></publisher><pub-location><style face="normal" font="default" size="100%">Tsukuba, Japan</style></pub-location><pages><style face="normal" font="default" size="100%">1427 - 1430</style></pages><isbn><style face="normal" font="default" size="100%">978-1-4673-2216-4 </style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;article&quot;&gt;&lt;p&gt;This paper proposes a functional that assigns low `energy' to sets of subsets of the image domain consisting of a number of possibly overlapping &lt;span class=&quot;snippet&quot;&gt;near&lt;/span&gt;-&lt;span class=&quot;snippet&quot;&gt;circular&lt;/span&gt; regions of approximately a given radius: a `gas of circles'. The &lt;span class=&quot;snippet&quot;&gt;model&lt;/span&gt; can be used as a prior for &lt;span class=&quot;snippet&quot;&gt;object&lt;/span&gt; extraction whenever the &lt;span class=&quot;snippet&quot;&gt;objects&lt;/span&gt; conform to the `gas of circles' geometry, e.g. cells in biological images. Configurations are represented by a &lt;span class=&quot;snippet&quot;&gt;multi&lt;/span&gt;-&lt;span class=&quot;snippet&quot;&gt;layer&lt;/span&gt; &lt;span class=&quot;snippet&quot;&gt;phase&lt;/span&gt; &lt;span class=&quot;snippet&quot;&gt;field&lt;/span&gt;. Each &lt;span class=&quot;snippet&quot;&gt;layer&lt;/span&gt; has an associated function, regions being defined by thresholding. Intra-&lt;span class=&quot;snippet&quot;&gt;layer&lt;/span&gt; interactions assign low energy to configurations consisting of non-overlapping &lt;span class=&quot;snippet&quot;&gt;near&lt;/span&gt;-&lt;span class=&quot;snippet&quot;&gt;circular&lt;/span&gt; regions, while overlapping regions are represented in separate layers. Inter-&lt;span class=&quot;snippet&quot;&gt;layer&lt;/span&gt; interactions penalize overlaps. Here we present a theoretical and experimental analysis of the &lt;span class=&quot;snippet&quot;&gt;model&lt;/span&gt;.&lt;/p&gt;&lt;/div&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;</style></abstract><work-type><style face="normal" font="default" size="100%">Conference paper</style></work-type><accession-num><style face="normal" font="default" size="100%">13324819</style></accession-num></record></records></xml>