Energy-Based Shape Modification of NURBS Surfaces

Author

Liu, Xiaoyan ; Feng, Feng

Author_Institution

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

Volume

1

fYear

2009

fDate

24-26 April 2009

Firstpage

607

Lastpage

609

Abstract

This paper is devoted to shape modification of NURBS surfaces, in which a method based on energy optimization is proposed. By applying systems of constraints and minimizing the thin plate energy of error surface, geometric features (such as position, partial derivative and normal vector) at a selected point on a NURBS surface are modified. We also discuss shape modification in three special cases and give analytic solutions to realize miscellaneous effects for interactive design.

Keywords

computational geometry; minimisation; rational functions; splines (mathematics); surface fitting; NURBS surface modification; energy optimization; energy-based shape modification; geometric feature; thin plate energy minimization; Optimization methods; Physics computing; Shape control; Spline; Surface reconstruction; Surface topography; Telecommunication computing; Tensile stress; Virtual manufacturing; Weight control; NURBS surfaces; energy optimization; geometric features; shape modification;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on

Conference_Location

Sanya, Hainan

Print_ISBN

978-0-7695-3605-7

Type

conf

DOI

10.1109/CSO.2009.113

Filename

5193769