Title :
Constructing geometric Hermite curve with minimum curvature variation
Author :
Chi, Jing ; Zhang, Caiming ; Xu, Lin
Author_Institution :
Coll. of Comput. Sci. & Technol., Shandong Univ., Ji´´nan, China
Abstract :
Based on the smoothness criterion of minimum curvature variation of the curve, tangent angle constraints guaranteeing an optimized geometric Hermite (OGH) curve both mathematically and geometrically smooths is given, and new methods for constructing composite optimized geometric Hermite (COH) curves are presented in this paper. The comparison of the new methods with Yong and Cheng´s methods based on strain energy minimization is included.
Keywords :
computational geometry; minimisation; geometric smoothness; minimum curvature variation; optimized geometric Hermite curve; smoothness criterion; strain energy minimization; tangent angle constraints; Capacitive sensors; Computer science; Constraint optimization; Educational institutions; Interpolation; Minimization methods; Peace technology; Polynomials; Shape; Strain measurement; Hermite; curvature variation; geometric smoothness;
Conference_Titel :
Computer Aided Design and Computer Graphics, 2005. Ninth International Conference on
Print_ISBN :
0-7695-2473-7
DOI :
10.1109/CAD-CG.2005.27
