CONVEXITY THEOREM OF PARAMETRIC TRIANGULAR BEZIER SURFACES
Citation：
Zhao jianming.CONVEXITY THEOREM OF PARAMETRIC TRIANGULAR BEZIER SURFACES[J].Chinese Annals of Mathematics B,1988,9(1):134~145
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Authors：
Zhao jianming;
Abstract：
The author introduces twist vectors of control nets of parametric triangular Bezier surfaces, With twist vectors and other geomtric magnitudes a sufficient condition for
parametric triangular Bezier surfaces to be convex is offered. Incidently a necessary and sufficient condition for triangular Bezier surfaces of parametric form to degenerate to that of functional form is given. A less stringent sufficient condition is proposed for quadratic.Bezier surfaces to be convex.
