CAD における曲線曲面の創成について

概要

論文の詳細を見る
Based on a model of manual curve construction process, a curve and surface synthesis method, which includes B-spline and Bezier's method as its special cases, is developed. A segment of new curve is generated from its parental adjacent curve segments as a locus of weighted mean of a segment of appropriate interval. A new surface segment is constructed similarly from its original segments. A synthesized curve is expressed by the weighted sum of vertex vectors of its associated polygon. Synthesized shape can be controlled locally as well as globally. The passing point of curve, tangent and curvature there, can be changed intentionally without affecting its global shape. Besides computational methods, manual graphical procedures for shape synthesis, are presented. And simple expressions for Bezier's curve and surface can also be introduced from our basic equation.
一般社団法人情報処理学会の論文
1976-12-15