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Geometric interpretation of smoothness conditions of triangular polynomial patches

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Publication:1391947
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DOI10.1016/S0167-8396(96)00028-3zbMath0906.68155MaRDI QIDQ1391947

Ming-Jun Lai

Publication date: 23 July 1998

Published in: Computer Aided Geometric Design (Search for Journal in Brave)


zbMATH Keywords

Bernstein-Bézier formsmoothness conditionspolynomial patches


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


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A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation, A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations, New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant, A new approach to linear regression with multivariate splines, Construction of \(C^2\) cubic splines on arbitrary triangulations, Adjusting control points to achieve continuity



Cites Work

  • Multivariate vertex splines and finite elements
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