Smooth bivariate shape-preserving cubic spline approximation
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- 作者：Victoria Baramidze V-Baramidze@wiu.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Shape preservation ; Cubic splines ; Bivariate approximation
- 刊名：Computer Aided Geometric Design
- 出版年：2016
- 出版时间：May 2016
- 年：2016
- 卷：44
- 期：Complete
- 页码：36-55
- 全文大小：803 K
文摘
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Shape-preserving splines are defined on triangulations of a new type.
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The key element is a combination of two-sided and classic Clough–Tocher macros.
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Formulas for spline coefficients are simple, explicit with respect to local data.
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Proofs of convexity, monotonicity and positivity preservation are included.