Optimal approximation of spherical squares by tensor product quadratic Bézier patches

DOI10.1016/j.amc.2023.128196arXiv2303.04434OpenAlexW4384197225MaRDI QIDQ6096295

Emil Žagar, Aleš Vavpetič

Publication date: 11 September 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.04434

zbMATH Keywords

optimal approximationsphere approximationBézier patchspherical square

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Best approximations of symmetric surfaces by biquadratic Bézier surfaces
• An \(O(h^{2n})\) Hermite approximation for conic sections
• Exact sphere representations over Platonic solids based on rational multisided Bézier patches
• Optimal parametric interpolants of circular arcs
• Geometric approximation of the sphere by triangular polynomial spline patches

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