authors 
Aziz, N.M., Bata, R. and Sudarshan, B. 
year 
1990 
title 
Bezier Surface : Surface Intersection 
source 
IEEE Computer Graphics and Applications. January, 1990. vol. 10: pp. 5058 
summary 
In this article the authors explain the computational requirement and accuracy of two methods for finding the intersection of Bezier surfaces. In both methods, the existence of an intersection curve is confirmed by using the convex hull property of such surfaces. The first method evaluates the intersection by recursive subdivision of two patches with overlapping hulls. The second method detects a point on the intersection curve, then incrementally traces the intersection in the parametric spaces of the two surfaces. With both methods the intersection of a pair of firstorder planar patches must be solved analytically. The intersection is approximated by firstorder Bezier patches in the first case, and by planar triangles in the second. Overall, the method of incremental tracing gives more accurate results than the method of recursive subdivision 
keywords 
recursion, curves, convex hull, curved surfaces, intersection, Bezier, triangulation 
series 
CADline 
references 
Contenttype: text/plain

last changed 
2003/06/02 12:42 
