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dc.contributor.author	Nitzberg, Mark
dc.contributor.author	Mumford, David Bryant
dc.date.accessioned	2010-02-12T19:53:09Z
dc.date.issued	1990
dc.identifier.citation	Nitzberg, Mark, and David Bryant Mumford. 1990. The 2.1-D sketch. In Proceedings of the Third International Conference on Computer Vision: December 4 - 7, 1990, Osaka, Japan, ed. IEEE Computer Society, 138-144. Los Alamitos, CA: IEEE Computer Society Press.	en_US
dc.identifier.isbn	0818620579	en_US
dc.identifier.uri	http://nrs.harvard.edu/urn-3:HUL.InstRepos:3637122
dc.description.abstract	A model is described for image segmentation that tries to capture the low-level depth reconstruction exhibited in early human vision, giving an important role to edge terminations. The problem is to find a decomposition of the domain D of an image that has a minimum of disrupted edges-junctions of edges, crack tips, corners, and cusps-by creating suitable continuations for the disrupted edges behind occluding regions. The result is a decomposition of D into overlapping regions R1∪. . .∪Rn ordered by occlusion, which is called the 2.1-D sketch. Expressed as a minimization problem, the model gives rise to a family of optimal contours, called nonlinear splines, that minimize length and the square of curvature. These are essential in the construction of the 2.1-D sketch of an image, as the continuations of disrupted edges. An algorithm is described that constructs the 2.1-D sketch of an image, and gives results for several example images. The algorithm yields the same interpretations of optical illusions as the human visual system	en_US
dc.description.sponsorship	Mathematics	en_US
dc.language.iso	en_US	en_US
dc.publisher	IEEE Computer Society Press	en_US
dc.relation.isversionof	doi:10.1109/ICCV.1990.139511	en_US
dc.relation.hasversion	http://www.dam.brown.edu/people/mumford/Papers/DigitizedVisionPapers--forNonCommercialUse/90--2.1DSketch-Nitzberg.pdf	en_US
dash.license	LAA
dc.title	The 2.1-D Sketch	en_US
dc.type	Monograph or Book	en_US
dc.description.version	Version of Record	en_US
dash.depositing.author	Mumford, David Bryant
dc.date.available	2010-02-12T19:53:09Z

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  Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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