Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
Hybrid cubic Be´zier triangle patches
Mathematical methods in computer aided geometric design II
Geometric interpretation of smoothness conditions of triangular polynomial patches
Computer Aided Geometric Design
Geometric interpretation of continuity over triangular domains
Computer Aided Geometric Design
Cubic precision Clough-Tocher interpolation
Computer Aided Geometric Design
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In this paper, I discuss a method for increasing the continuity between two functional triangular polynomial patches by adjusting their control points. The method described in this paper leaves the control points unchanged if the patches already meet with the desired level of continuity. As an example of using this construction, I give a simple method to construct a C0 patch network with high order polynomial precision, and then adjust its control points to increase continuity without decreasing the order of polynomial precision.