Conversion and evaluation for two types of parametric surfaces constructed by NTP bases

DOI10.1016/j.camwa.2004.06.031zbMath1083.65011OpenAlexW2010883052MaRDI QIDQ2485405

Su-Rong Jiang, Guo-Jin Wang

Publication date: 4 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.031

zbMATH Keywords

Bézier curvescomputer aided geometric designcomputational costde Casteljau algorithmBézier surfaceBall basisBall surfacegeneralised Ball surfaces

Mathematics Subject Classification ID

Complexity and performance of numerical algorithms (65Y20) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Error analysis of efficient evaluation algorithms for tensor product surfaces, Construction of triangular DP surface and its application, Gauss-Lobatto to Bernstein polynomials transformation, Erratum to: ``Conversion and evaluation for two types of parametric surface constructed by NTP bases [Comput. Math. Appl. 49(2) (2005) 321-329], Approximating of conic sections by DP curves with endpoint interpolation

Uses Software

• CONSURF

Cites Work

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• Shape preserving properties of the generalised Ball basis
• Properties of generalized Ball curves and surfaces
• Efficient algorithms for Bézier curves
• A shape preserving representation with an evaluation algorithm of linear complexity
• A generalized Ball curve and its recursive algorithm