Title :
G2 Connection of Bézier Patches around a Common Corner
Author :
Meng, Qingxian ; Liu, Huili
Author_Institution :
Dept. of Math., Northeastern Univ., Shenyang, China
fDate :
March 31 2009-April 2 2009
Abstract :
In computer aided geometric design Bezier patches are usually used to approximate practical surfaces. In this paper, we divide the conditions of curvature continuity connection for Bezier surfaces into three groups and analyze them respectively. Through the analysis two methods for curvature continuity connection of Bezier surfaces around a common corner are presented on the conditions that all the betai ne 0 and only two betai = 0 respectively.
Keywords :
approximation theory; computational geometry; curve fitting; surface fitting; Bezier surface approximation; G2 Bezier patch connection; common corner; computer aided geometric design; curvature continuity connection; Computer science; Equations; Mathematics; Polynomials;
Conference_Titel :
Computer Science and Information Engineering, 2009 WRI World Congress on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-0-7695-3507-4
DOI :
10.1109/CSIE.2009.153