The geometric continuity of rational Bézier triangular surfaces
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The problems of geometric continuity for rational Bézier surfaces are discussed. Concise conditions of first order and second order geometric continuity for rational triangular Bézier surfaces are given. Meanwhile, a geometric condition for smoothness between adjacent rational Bézier surfaces and the transformation formulae between rational triangular patches and rational rectangular patches are obtained.
KeywordsGeometric Condition Rational Surface Transformation Formula Rectangular Patch Triangular Patch
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