Title :
Constrained C/sup 1/ piecewise bicubic Bezier surface interpolation
Author :
Caiming Zhang ; Fuhua Cheng ; Barsky, B.A.
Author_Institution :
Dept. of Comput. Sci., Kentucky Univ., Lexington, KY, USA
Abstract :
The construction of a C/sup 1/ piecewise bicubic Bezier surface that interpolates a set of data points and lies on the same side of a given plane as the data points is presented. The main tasks in this construction process are the adjustment of the tangent vectors and the determination of the twist vectors at the data points. The tangent vectors are modified by decreasing their magnitudes. The twist vectors are first set by an energy minimization process and then filtered through a modification process to ensure the constructed surface lies on one side of the given plane. The technique for determining the twist vectors has an interpolation precision of cubic polynomials.
Keywords :
computational geometry; curve fitting; interpolation; polynomials; surface fitting; vectors; computational geometry; cubic polynomials; curves; data points; energy minimization; piecewise bicubic Bezier surface interpolation; tangent vector adjustment; twist vectors; Computer graphics; Computer science; Interpolation; Manufacturing processes; Polynomials; Shape; Solid modeling; Spline;
Conference_Titel :
Geometric Modeling and Processing 2000. Theory and Applications. Proceedings
Conference_Location :
Hong Kong, China
Print_ISBN :
0-7695-0562-7
DOI :
10.1109/GMAP.2000.838248
