| Presentation | 2001/2/16 Shape generation of 3D object of linear Lie algebra models based on curvature analysis and integral surfaces. Susumu SHIOTA, Kouichi URA, Go HONMA, Jinhui CHAO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Linear Lie algebra model of 3D objects are known for their ability to determine a shape uniquely with a complete set of invariants and represent a wide class of smooth surfaces. Since the model represents the surface of a shape as integral curves of linear Lie algebra, it is important to control integral error in order to generate shapes in high precision. This paper proposes a shape generation algorithm based on a curvature analysis. Also, we parallelly compute multiple integral curves to form an intergral surface to shorten the integral process and reduce error accumulation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Lie algebra / invariant / curvature analysis / integral surfaces / shape generation |
| Paper # | PRMU2000-194 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 2001/2/16(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 | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Shape generation of 3D object of linear Lie algebra models based on curvature analysis and integral surfaces. |
| Sub Title (in English) | |
| Keyword(1) | Lie algebra |
| Keyword(2) | invariant |
| Keyword(3) | curvature analysis |
| Keyword(4) | integral surfaces |
| Keyword(5) | shape generation |
| 1st Author's Name | Susumu SHIOTA |
| 1st Author's Affiliation | Dept.of Electrical and Electronic Eng, and Communication Eng., Faculty of Science and Engineering, Chuo University() |
| 2nd Author's Name | Kouichi URA |
| 2nd Author's Affiliation | Dept.of Electrical and Electronic Eng, and Communication Eng., Faculty of Science and Engineering, Chuo University |
| 3rd Author's Name | Go HONMA |
| 3rd Author's Affiliation | Dept.of Electrical and Electronic Eng, and Communication Eng., Faculty of Science and Engineering, Chuo University |
| 4th Author's Name | Jinhui CHAO |
| 4th Author's Affiliation | Dept.of Electrical and Electronic Eng, and Communication Eng., Faculty of Science and Engineering, Chuo University : The Institute of Science and Engineering, Chuo University |
| Date | 2001/2/16 |
| Paper # | PRMU2000-194 |
| Volume (vol) | vol.100 |
| Number (no) | 634 |
| Page | pp.pp.- |
| #Pages | 7 |
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