3207 幾何処理による法線情報を含むB-スプラインフィッティング(OS4-3 デジタルエンジニアリング-3)意匠曲線・曲面)

概要

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Interpolation is one of the most typical problems that arise in the application of B-spline curves and surfaces. In this paper we are interested in not only interpolating a set of points, but also normal vectors given at these points by the B-spline curves. Applications of point-normal fitting include design of functional surfaces used in hydrodynamics and aerodynamics, 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 a local point-curve distance computation, application of an orthogonality condition of the normal vector, and an offsetting procedure without solving a linear system.
社団法人日本機械学会の論文
2007-10-30