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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Committee | PRMU |
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Conference Date | 2000/2/22(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Pattern Recognition and Media Understanding (PRMU) |
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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 |
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