2010 Fiscal Year Final Research Report
Fitting point clouds with normal vectors by geometric algorithm
| Project/Area Number |
20560127
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Design engineering/Machine functional elements/Tribology
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| Research Institution | Yokohama National University |
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Principal Investigator |
MAEKAWA Takashi Yokohama National University, 工学研究院, 教授 (70361863)
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| Co-Investigator(Kenkyū-buntansha) |
KAJIWARA Takeshi 横浜国立大学, 工学研究院, 准教授 (00250663)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 形状モデリング / CAE・CAD |
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| Research Abstract |
Interpolation is one of the most typical problems that arise in the application of B-spline curves and surfaces. In this research we are interested in not only interpolating a set of points, but also normal vectors given at these points by the B-spline curves and surfaces. Applications of point-normal fitting include enhancement in the free-form curve design by adding the normal control, and accurate approximation of offset curves/surfaces. Our method relies on a surprisingly simple geometric algorithm which iteratively updates the input control points in a global manner based on local point-curve/surface distance computations, imposition of orthogonality conditions of the normal vector, and offsetting procedures. Examples are provided to demonstrate the effectiveness of the proposed algorithms.
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