Abstract
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.
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Tian, J. The geometric continuity of rational Bézier triangular surfaces. J. of Comput. Sci. & Technol. 6, 383–388 (1991). https://doi.org/10.1007/BF02948399
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DOI: https://doi.org/10.1007/BF02948399