Title :
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
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;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.113
