| Presentation | 2001/5/11 Euler Characteristic of Discrete Planar Object Atsushi IMIYA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We introduce the curvature indices of the boundary of a two-dimensional 8-connected discrete object, and using this indices of points, we define the Gauss-Bonnet equation for two-dimensional 8-connected objects. With this equation, we can compute the Euler characteristic of a binary object on a discrete plane from configurations of points on its boundary. We also define rules which convert a 8-connected object to a 4-connected object with preserving the topology of an object. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Euler characteristics / Deformation / Graph rewriting / Connectivity / Discrete geometry |
| Paper # | PRMU2001-17 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 2001/5/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Pattern Recognition and Media Understanding (PRMU) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Euler Characteristic of Discrete Planar Object |
| Sub Title (in English) | |
| Keyword(1) | Euler characteristics |
| Keyword(2) | Deformation |
| Keyword(3) | Graph rewriting |
| Keyword(4) | Connectivity |
| Keyword(5) | Discrete geometry |
| 1st Author's Name | Atsushi IMIYA |
| 1st Author's Affiliation | Institute of Media and Information Technology, Chiba University() |
| Date | 2001/5/11 |
| Paper # | PRMU2001-17 |
| Volume (vol) | vol.101 |
| Number (no) | 58 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |