Title :
Approximation of Circular Arcs by C2 Cubic Polynomial B-splines
Author :
Yang, Wu ; Ye, Xiuzi
Author_Institution :
Southeast Univ., Nanjing
Abstract :
An algorithm to approximate circle/circular arc with C2 cubic B-spline curve is presented. Given a prescribed tolerance e, the algorithm can find a C2 cubic B-spline curve with minimal number of segments that approximate the given circle/circular arc within e. The method developed can be used for various applications in CAD/CAM, biomechanical engineering and other fieIds.
Keywords :
computational geometry; curve fitting; polynomial approximation; splines (mathematics); C2 cubic polynomial B-spline curve; CAD/CAM; biomechanical engineering; circular arc approximation; computational geometry; Application software; CADCAM; Computer aided manufacturing; Computer science; Design automation; Educational institutions; Laboratories; Polynomials; Spline; Surface topography;
Conference_Titel :
Computer-Aided Design and Computer Graphics, 2007 10th IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-1579-3
Electronic_ISBN :
978-1-4244-1579-3
DOI :
10.1109/CADCG.2007.4407919
