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		<doi>10.1109/SIBGRAPI.2013.29</doi>
		<citationkey>MansillaCappMira:2013:ImSeIm</citationkey>
		<title>Image Segmentation by Image Foresting Transform with Non-smooth Connectivity Functions</title>
		<format>On-line.</format>
		<year>2013</year>
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		<author>Mansilla, Lucy A. C.,</author>
		<author>Cappabianco, Fábio A. M.,</author>
		<author>Miranda, Paulo André Vechiatto de,</author>
		<affiliation>Department of Computer Science, University of São Paulo (USP)</affiliation>
		<affiliation>Instituto de Ciência e Tecnologia, Universidade Federal de São Paulo</affiliation>
		<affiliation>Department of Computer Science, University of São Paulo (USP)</affiliation>
		<editor>Boyer, Kim,</editor>
		<editor>Hirata, Nina,</editor>
		<editor>Nedel, Luciana,</editor>
		<editor>Silva, Claudio,</editor>
		<e-mailaddress>pavmbr@yahoo.com.br</e-mailaddress>
		<conferencename>Conference on Graphics, Patterns and Images, 26 (SIBGRAPI)</conferencename>
		<conferencelocation>Arequipa, Peru</conferencelocation>
		<date>5-8 Aug. 2013</date>
		<publisher>IEEE Computer Society</publisher>
		<publisheraddress>Los Alamitos</publisheraddress>
		<booktitle>Proceedings</booktitle>
		<tertiarytype>Full Paper</tertiarytype>
		<transferableflag>1</transferableflag>
		<versiontype>finaldraft</versiontype>
		<keywords>graph search algorithms, image foresting transform, non-smooth connectivity functions.</keywords>
		<abstract>In the framework of the Image Foresting Transform (IFT), there is a class of connectivity functions that were vaguely explored, which corresponds to the non-smooth connectivity functions (NSCF). These functions are more adaptive to cope with the problems of field inhomogeneity, which are common in MR images of 3 Tesla. In this work, we investigate the NSCF from the standpoint of theoretical and experimental aspects. We formally classify several non-smooth functions according to a proposed diagram representation. Then, we investigate some theoretical properties for some specific regions of the diagram. Our analysis reveals that many NSCFs are, in fact, the result of a sequence of optimizations, each of them involving a maximal set of elements, in a well-structured way. Our experimental results indicate that substantial improvements can be obtained by NSCFs in the 3D segmentation of MR images of 3 Tesla, when compared to smooth connectivity functions.</abstract>
		<language>en</language>
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