Geometric Features Modification of NURBS Curves via Energy Optimization

Author

Liu, Xiao-yan

Author_Institution

Dept. of Appl. Math. & Appl. Phys., Xi´´an Inst. of Posts & Telecommun., Xi´´an

Volume

1

fYear

2009

fDate

7-8 March 2009

Firstpage

929

Lastpage

932

Abstract

This paper is devoted to the shape modification of NURBS curves, in which a method based on energy optimization is proposed. Specifically, geometric features (such as position, tangency and curvature) of the selected parametric points on a given NURBS curve are modified, by minimizing the strain energy of the error curve. The numerical examples show that this method can realize miscellaneous modification effects and is convenient for interactive design.

Keywords

CAD; computational geometry; curve fitting; minimisation; splines (mathematics); NURBS curve; computer aided design; energy optimization; geometric feature modification; nonuniform rational B-spline curve; shape modification; strain energy minimisation; Capacitive sensors; Computer science education; Educational technology; Optimization methods; Paper technology; Physics education; Shape control; Spline; Surface reconstruction; Surface topography; NURBS curves; energy optimimization; geometric features; shape modification;

fLanguage

English

Publisher

ieee

Conference_Titel

Education Technology and Computer Science, 2009. ETCS '09. First International Workshop on

Conference_Location

Wuhan, Hubei

Print_ISBN

978-1-4244-3581-4

Type

conf

DOI

10.1109/ETCS.2009.211

Filename

4958915