L-2 DEGREE REDUCTION OF TRIANGULAR BÉZIER SURFACES WITH COMMON TANGENT PLANES AT VERTICES

DOI10.1142/S0218195905001798zbMath1085.68176OpenAlexW2136831640MaRDI QIDQ5709136

Abedallah Rababah

Publication date: 29 November 2005

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218195905001798

zbMATH Keywords

degree reductiondegree raisingtangent plane continuity

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15)

Related Items (5)

Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints ⋮ Bézier and B-spline curves — A study and its application in wavelet decomposition ⋮ Optimal multi-degree reduction of triangular Bézier surfaces with corners continuity in the norm \(L_{2}\) ⋮ Iterative process for \(G^{2}\)-multi degree reduction of Bézier curves ⋮ Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials

Cites Work

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• Distances with rational triangular Bézier surfaces
• Distance for degree raising and reduction of triangular Bézier surfaces
• Polynomial degree reduction in the \(L_2\)-norm equals best Euclidean approximation of Bézier coefficients
• Multivariate Splines

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