Extended Kasap’s method for estimating the boundary geodesic problem on a regular surface.
碩士 === 國立嘉義大學 === 應用數學系研究所 === 99 === In this paper, we use a property the shortest path from a point to a curve will be perpendicular to the curve to improve Kasap's method. According to our proposed method, we use it to estimate the orthogonal projection from a point to a curve on a regular s...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/28118557329965126330 |
| Summary: | 碩士 === 國立嘉義大學 === 應用數學系研究所 === 99 === In this paper, we use a property the shortest path from a point to a curve will be perpendicular to the curve to improve Kasap's method. According to our proposed method, we use it to estimate the orthogonal projection from a point to a curve on a regular surface and the shortest path between two disjoint curves on the regular surface. We show some simulations on a sphere, a torus and a face by our proposed methods for improving both of these problems.
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