表示多面体とその応用

概要

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This paper describes the representative polygon and polyhedron which have been introduced in order to aid the visual comprehension of a free-form curve or surface, mathematically expressed by parametric polynomials. The polyhedron is more close to the surface than any other analogues such as the characteristic polyhedron of Bezier method, because each of its faces and the surface are always intersecting or tangential. In case of bi-cubic surface, mostly utilized, it has simple correlation with surface. Therefore it can be applied for various purposes. Some applications are described relating the determination of tangent vector's length and twist vector whose decision is difficult by conventional method.
公益社団法人精密工学会の論文
1989-04-05