A novel algorithm for explicit optimal multi-degree reduction of triangular surfaces

DOI10.1007/S11432-007-0063-0zbMath1138.65015OpenAlexW1963913807MaRDI QIDQ2480115

Qian-Qian Hu, Guo-Jin Wang

Publication date: 31 March 2008

Published in: Science in China. Series F (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11432-007-0063-0

zbMATH Keywords

algorithmdata compressionnumerical experimentscomputer aided designBernstein polynomialCAD systemJacobi polynomialmulti-degree reductiontriangular Bézier surface\(L_{2}\) norm

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints ⋮ A novel algorithm for explicit optimal multi-degree reduction of triangular surfaces ⋮ Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials

Cites Work

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• The complete orthogonal \(V\)-system and its applications
• A novel algorithm for explicit optimal multi-degree reduction of triangular surfaces
• An orthogonal basis for the hyperbolic hybrid polynomial space
• The slantlet transform
• A Sequence of Piecewise Orthogonal Polynomials
• Affine invariant descriptors using Fourier series

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