Presentation 2000/1/20
Digital Curvature Flow of Planar Digital Curve
Atsushi Imiya, Ulrich Eckhardt,
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Abstract(in English) In this paper, we define digital curvature flow for planar digital objects. We define the principle normal vectors for points on the digital boundary of binaly planar objects. Digital curvature flow is defined as motion of points on the boundary curve according to principle normal vectors. Therefore, digital curvature flow is a digital version of curvature flow. Furthermore, this transformation could also be considered as discrete curvature flow on iso-polygons whose all edges are parallel to axes of the orthogonal coordinate system. We also derive a digital version of snakes for the extraction of boundary curves of discrete images as a variational problem on a digital plane.
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Keyword(in English) Discrete object / Curvature flow / Euler characteristic / Connectivity / Graph rewriting
Paper # PRMU99-194
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Committee PRMU
Conference Date 2000/1/20(1days)
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Registration To Pattern Recognition and Media Understanding (PRMU)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Digital Curvature Flow of Planar Digital Curve
Sub Title (in English)
Keyword(1) Discrete object
Keyword(2) Curvature flow
Keyword(3) Euler characteristic
Keyword(4) Connectivity
Keyword(5) Graph rewriting
1st Author's Name Atsushi Imiya
1st Author's Affiliation Dept. of Information and Image Sciences()
2nd Author's Name Ulrich Eckhardt
2nd Author's Affiliation Dept. of Applied Mathematics, University of Hamburg
Date 2000/1/20
Paper # PRMU99-194
Volume (vol) vol.99
Number (no) 574
Page pp.pp.-
#Pages 8
Date of Issue