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
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 1995年 / 12卷 / 03期
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.
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页码：283 / 303
页数：21
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