CONVEXITY THEOREM OF PARAMETRIC TRIANGULAR BZIER SURFACES |
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引用本文: | 赵建民.CONVEXITY THEOREM OF PARAMETRIC TRIANGULAR BZIER SURFACES[J].数学年刊B辑(英文版),1988(1). |
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作者姓名: | 赵建民 |
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作者单位: | Institute of |
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摘 要: | The author introduces twist vectors of control nets of parametric triangular Bèziersurfaces.With twist vectors and other geometric magnitudes,a sufficient condition forparametric triangular Bèzier surfaces to be convex is offered.Incidently,a necessary andsufficient condition for triangular Bèzier surfaces of parametric form to degenerate to thatof functional form is given.A less stringent sufficient condition is proposed for quadraticBèzier surfaces to be convex.
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