Title :
Geometric Features Modification of NURBS Curves via Energy Optimization
Author_Institution :
Dept. of Appl. Math. & Appl. Phys., Xi´´an Inst. of Posts & Telecommun., Xi´´an
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;
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
DOI :
10.1109/ETCS.2009.211
