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		<doi>10.1109/SIBGRA.1999.805728</doi>
		<citationkey>MotaGome:1999:CuOpGe</citationkey>
		<title>Curvature operators in geometric image processing</title>
		<year>1999</year>
		<numberoffiles>3</numberoffiles>
		<size>220 KiB</size>
		<author>Mota, Cicero,</author>
		<author>Gomes, Jonas,</author>
		<editor>Stolfi, Jorge,</editor>
		<editor>Tozzi, Clésio Luis,</editor>
		<conferencename>Brazilian Symposium on Computer Graphics and Image Processing, 12 (SIBGRAPI)</conferencename>
		<conferencelocation>Campinas, SP, Brazil</conferencelocation>
		<date>17-20 Oct. 1999</date>
		<publisher>IEEE Computer Society</publisher>
		<publisheraddress>Los Alamitos</publisheraddress>
		<pages>223-230</pages>
		<booktitle>Proceedings</booktitle>
		<tertiarytype>Full Paper</tertiarytype>
		<organization>SBC - Brazilian Computer Society and UNICAMP - University of Campinas</organization>
		<transferableflag>1</transferableflag>
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		<keywords>image coding, image reconstruction, image processing, image compression.</keywords>
		<abstract>In this work we study the problem of reconstructing an image from a perceptual segmentation based on a geometric classification of its points using non-linear curvature filters. We give a mathematical proof that an image can be reconstructed from the regions of non-zero gaussian curvatures. This result provides the theoretical background for a new theory of non-linear two dimensional signal processing as proposed by C. Zetzche, E. Barth and B. Wegman ([15, 16]). We use curvature measures to detect edges and vertices (roughly two dimensional regions) and show that reconstruction is possible from these elements.</abstract>
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		<notes>The conference was held in Campinas, SP, Brazil, from October 17 to 20.</notes>
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		<url>http://sibgrapi.sid.inpe.br/rep-/dpi.inpe.br/vagner/1999/11.29.09.56</url>
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