Bézier surfaces with prescribed diagonals

DOI10.1016/J.CAM.2022.115018OpenAlexW4312056363MaRDI QIDQ6098977

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Publication date: 19 June 2023

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

Full work available at URL: https://doi.org/10.1016/j.cam.2022.115018

zbMATH Keywords

geometric modelingBézier patchdiagonal curveboundary curvetensor product Bézier surface

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Computing methodologies and applications (68Uxx) Linear incidence geometry (51Axx)

Cites Work

• Unnamed Item
• Unnamed Item
• A geometric interpretation of the diagonal of a tensor-product Bézier volume
• Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary
• On harmonic and biharmonic Bézier surfaces

Related Items (7)

Construction of Bézier Surfaces from Prescribed Boundary ⋮ Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary ⋮ Unnamed Item ⋮ Construction of Bézier surfaces with minimal quadratic energy for given diagonal curves ⋮ DiagPara: volumetric parameterization with energy-minimizing pair of diagonal surfaces from given boundaries ⋮ Bézier surfaces with linear isoparametric lines ⋮ Bézier-smart surfaces of arbitrary degree

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