Title :
Curves that Shape Can Adjust
Author :
Yan, LanLan ; Wu, GuoGen ; Liang, JiongFeng
Author_Institution :
Coll. of Math. & Inf. Sci., East China Inst. of Technol., Fuzhou, China
Abstract :
Three kinds of trigonometric bases are given in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. Analogous to the quadratic B-spline curves, the curves are constructed with three consecutive control points for each curve segment. The curves posses many properties of the quadratic B-spline curve. Meanwhile, they have many better properties than the quadratic B-spline curve. For equidistant knots, they have continuity, and they have continuity when choosing special parameters. Besides, the curves are closer to the control polygon than the quadratic B-spline curves when the shape parameters satisfy certain conditions. In the last, the trigonometric spline surfaces with shape parameter are constructed. They have most properties of the corresponding curves.
Keywords :
computational geometry; curve fitting; splines (mathematics); control point; equidistant knot; polygon; quadratic B-spline curve; shape parameter; trigonometric basis; trigonometric spline curve; Analytical models; Educational institutions; Information science; Mathematics; Polynomials; Shape control; Spline; Surface reconstruction; Surface topography; computer application; continuity; shape parameter; spline curve; trigonometric basis;
Conference_Titel :
Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3682-8
DOI :
10.1109/ESIAT.2009.132
