The 2.1-D Sketch

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The 2.1-D Sketch

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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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  • FAS Scholarly Articles [7362]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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