Title :
Representing spheres and ellipsoids using periodic NURBS surfaces with fewer control vertices
Author :
Qin, Kaihuai ; Wang, Wenping ; Tang, Zesheng
Author_Institution :
Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing, China
Abstract :
A new kind of NURBS representation for periodic curves is introduced. The method for periodic curves is extended to derive a compact and symmetric representation of the sphere or the ellipsoid using a piecewise bi-quadratic NURBS surface with only eight distinct control vertices
Keywords :
CAD; computational geometry; splines (mathematics); surface fitting; NURBS representation; control vertices; distinct control vertices; ellipsoids; nonuniform rational b-splines; periodic NURBS surfaces; periodic curves; piecewise bi-quadratic NURBS surface; spheres; symmetric representation; Computer science; Ellipsoids; Spline; Sufficient conditions; Surface reconstruction; Surface topography; Transmission line matrix methods; Weight control;
Conference_Titel :
Computer Graphics and Applications, 1998. Pacific Graphics '98. Sixth Pacific Conference on
Print_ISBN :
0-8186-8620-0
DOI :
10.1109/PCCGA.1998.732121
