| Presentation | 1997/3/19 The Euler Characteristic of Discrete Objects Atsushi Imiya, Ulrich Eckhardt, |
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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 discrete object,and using this indices of points,we define the vertex angles of discrete surfaces as an extension of the chain codes of digital curves.Next,we prove the relation between the number of points indices of which are same and the numbers of holes,genus,and cavities of an object.This is the angular Euler characteristic of a discrete object.Finally,we develop an algorithm for the computation of these characteristics of discrete object. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Discrete object / Polyhedron / Boundary / The Euler characteristic / Topology |
| Paper # | PRMU96-197 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 1997/3/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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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) | The Euler Characteristic of Discrete Objects |
| Sub Title (in English) | |
| Keyword(1) | Discrete object |
| Keyword(2) | Polyhedron |
| Keyword(3) | Boundary |
| Keyword(4) | The Euler characteristic |
| Keyword(5) | Topology |
| 1st Author's Name | Atsushi Imiya |
| 1st Author's Affiliation | Dept. of Information and Computer Sciences() |
| 2nd Author's Name | Ulrich Eckhardt |
| 2nd Author's Affiliation | Dept. of Applied Mathematics, University of Hamburg |
| Date | 1997/3/19 |
| Paper # | PRMU96-197 |
| Volume (vol) | vol.96 |
| Number (no) | 599 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |