Functional splines with different degrees of smoothness and their applications

Authors:
Chun-Gang Zhu;Ren-Hong Wang;Xiquan Shi;Fengshan Liu
Affiliations:
Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901, USA;Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901, USA
Venue:
Computer-Aided Design
Year:
2008

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Abstract

Implicit curves and surfaces are extensively used in interpolation, approximation and blending. [Li J, Hoschek J, Hartmann E. G^n^-^1-functional splines for interpolation and approximation of curves, surfaces and solids. Computer Aided Geometric Design 1990;7:209-20] presented a functional method for constructing G^n^-^1 curves and surfaces which are called functional splines. In this paper, functional splines with different degrees of smoothness are presented and applied to some typical problems.