CONVEXITY THEOREM OF PARAMETRIC TRIANGULAR BEZIER SURFACES |
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Authors: | Zhao jianming |
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Affiliation: | Institute of Mathematics, Fudan University, Shanghai China. |
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Abstract: | The author introduces twist vectors of control nets of parametric triangular Bezier surfaces, With twist vectors and other geomtric magnitudes a sufficient condition forparametric 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. |
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Keywords: | |
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