Title :
A method of generating smooth surface using C-curves
Author :
Li, Wei ; Wu, Zhuoqi ; Hagiwara, Ichiro
Author_Institution :
Japan Sci. & Technol. Agency, Japan
Abstract :
A method of constructing piecewise G1 continuous spline surface using boundary C-curves is presented. C-curves are developed by the basis (sin t, cos t, t, 1), and it overcomes some shortcomings of the nonuniform rational B-splines (NURBS) model. How to develop C-curve into surface becomes a very important problem. Using the convex combination method proposed by Nielson, a piecewise G1 spline triangular surface is constructed by boundary C-curves.
Keywords :
computational geometry; splines (mathematics); boundary C-curves; convex combination method; piecewise G1 continuous spline surface; piecewise G1 spline triangular surface; smooth surface generation; Character generation; Computer graphics; Design automation; Polynomials; Spline; Surface reconstruction; Surface topography; Tensile stress; Weight control;
Conference_Titel :
Computer Aided Design and Computer Graphics, 2005. Ninth International Conference on
Print_ISBN :
0-7695-2473-7
DOI :
10.1109/CAD-CG.2005.8