Nonrectangular surface patches with curvature continuity. (English) Zbl 0699.65010

Jones, A. K.

Comput.-Aided Des. 20, No. 6, 325-335 (1988).

Summary: An n-sided region can be decomposed into n rectangles, all meeting at a common vertex. For odd n, derivative data can be defined for each rectangular patch at the common vertex that allows continuity of tangent planes and, optionally, normal curvatures between all n rectangles. For tangent plane continuity, the resulting patches are biquintic; for curvature continuity, biseptic.

MSC:

65D15	Algorithms for approximation of functions
51N05	Descriptive geometry

Keywords:

computer-aided geometric design; surface design; curvature; continuity; surface patches; tangent plane continuity