Shape Modification of B-Spline Curves via Constrained Optimization for Multi-target Points

Author

Wu, Qingbiao ; Tao, Shuyi

Author_Institution

Dept. of Math., Zhejiang Univ., Hangzhou, China

Volume

1

fYear

2009

fDate

March 31 2009-April 2 2009

Firstpage

733

Lastpage

737

Abstract

The B-spline curve is one of the most famous curves in computer graphics, computational geometry and CAGD. Developing more convenient techniques for designing and modifying B-spline curves is an important problem, and is also an important research issue. In this study, the shape modification of B-spline curves by geometric constraints is presented. A new method based on changing the control points of the curves via constrained optimization is proposed. To satisfy the given constraints, the shape of the curves is optimally modified with adjusting control points of the original B-spline curves. Finally, numerical examples are also given.

Keywords

computational geometry; curve fitting; optimisation; splines (mathematics); B-spline curve; CAGD; computational geometry; computer graphics; constrained optimization; multitarget point; shape modification; Computational geometry; Computer graphics; Constraint optimization; Interpolation; Optimal control; Shape control; Spline; Surface reconstruction; Surface topography; Weight control; B-spline curve; Computer graphics; Constrained optimization; Shape modification;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Engineering, 2009 WRI World Congress on

Conference_Location

Los Angeles, CA

Print_ISBN

978-0-7695-3507-4

Type

conf

DOI

10.1109/CSIE.2009.668

Filename

5171271