A new extension algorithm for cubic B-splines based on minimal strain energy

• Published in: Journal of Zhejiang University. A. Science Vol. 7; no. 12; pp. 2043 - 2049
• Main Authors: Mo, Guo-liang, Zhao, Ya-nan
• Format: Journal Article
• Language: English
• Published: Department of Information and Computational Science, Zhejiang University City College, Hangzhou 310015, China 01.12.2006
• Subjects: GC^2连续; 再参量化; 最小应变能量; Extension; Knot removal; Reparametrization; GC2-continuous; Minimal strain energy

Extension of a B-spline curve or surface is a useful function in a CAD system. This paper presents an algorithm for extending cubic B-spline curves or surfaces to one or more target points. To keep the extension curve segment GC^2-continuous with the original one, a family of cubic polynomial interp...