2010 Fiscal Year Final Research Report
Research on shape reconstruction based on optimization
| Project/Area Number |
20700080
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Media informatics/Database
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| Research Institution | Gunma University |
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Principal Investigator |
HIYOSHI Hisamoto Gunma University, 理工学部, 准教授 (40323331)
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| Project Period (FY) |
2008 – 2010
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| Keywords | Voronoi図 / Delaunay三角形分割 / 形状復元 / 補間 / 最適化 |
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| Research Abstract |
At first, the curve reconstruction problem was formulated as a graph-theoretical problem, and methods for solving these problems were developed. It was proved theoretically that the performances of the conventional thresholding method, greedy algorithm, and exact algorithm become better in this order. On the other hand, a formulation for surface reconstruction problem was found to be hard. Therefore, two other approaches were explored. In the first approach, unknown parameters are put at sample points, and the shape reconstruction problem is formulated as an "undulation" minimization problem. In the second approach, a curve is considered as a pair of a medial axis with a distance function. Future research will include to complete these two approaches.
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