CONSTRUCTIONS OF G(1) CONTINUOUS JOINS OF RATIONAL BEZIER PATCHES

被引:7
|
作者
KICIAK, P
机构
[1] Instytut Matematyki Stosowanej i Mechaniki, Uniwersytet Warszawski, 02-097 Warszawa
关键词
RATIONAL BEZIER PATCHES; BEZIER CURVES; G(1) CONTINUITY OF JOINS;
D O I
10.1016/0167-8396(94)00014-J
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
We derive necessary and sufficient conditions for G(1) continuity of a join between rational Bezier patches (rectangular, triangular, or of a different shape). Using these conditions, we analyze the problem of fitting a patch to another one so as to create a G(1) continuous join. The obtained results characterize the set of solutions of the problem. As an application, we present methods of constructing a join, that can be used in an interactive geometric editor.
引用
收藏
页码:283 / 303
页数:21
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