Presentation 2000/2/22
Spatial Digital Curvature Flow
Atsushi Imiya, Eckhardt Ulrich,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we define digital curvature flow for spatial digital objects. We first define the principle normal vector for each point on the digital bounday of a spatial object. Digital curvature flow is defined as motion of boundary according to this principle normal vector on each point. Therefore, digital curvature flow is a digital version of curvature flow. Furthermore, this flow which moves the boundary could also be considered as discrete curvature flow on an iso-polyhedron, all edges of which are parallel to the axes of an orthogonal coordinate system. Our treatment of curvature flow is also considered as a numerical method for partial differential equation of curvature flow in a grid space.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Discrete object / Curvature flow / Variational method / Connectivity / Graph Rewriting
Paper # PRMU99-244
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Conference Information
Committee PRMU
Conference Date 2000/2/22(1days)
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Paper Information
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) Spatial Digital Curvature Flow
Sub Title (in English)
Keyword(1) Discrete object
Keyword(2) Curvature flow
Keyword(3) Variational method
Keyword(4) Connectivity
Keyword(5) Graph Rewriting
1st Author's Name Atsushi Imiya
1st Author's Affiliation Dept. of Information and Image Sciences, Chiba University()
2nd Author's Name Eckhardt Ulrich
2nd Author's Affiliation Dept. of Applied Mathematics, University of Hamburg
Date 2000/2/22
Paper # PRMU99-244
Volume (vol) vol.99
Number (no) 649
Page pp.pp.-
#Pages 8
Date of Issue