Designing approximation minimal parametric surfaces with geodesics
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Publication:1788755
DOI10.1016/j.apm.2013.01.035zbMath1426.65026OpenAlexW1970648098MaRDI QIDQ1788755
Ren-Hong Wang, Chun-Gang Zhu, Cai-Yun Li
Publication date: 8 October 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.01.035
Related Items (9)
Variational minimization on string-rearrangement surfaces, illustrated by an analysis of the bilinear interpolation ⋮ Explicit form of parametric polynomial minimal surfaces with arbitrary degree ⋮ Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary ⋮ Construction of triharmonic Bézier surfaces from boundary conditions ⋮ Construction of B-spline surface with B-spline curves as boundary geodesic quadrilateral ⋮ Constraints for geodesic network interpolation at a vertex ⋮ Optimized design of Bézier surface through Bézier geodesic quadrilateral ⋮ On the construction of minimal surfaces from geodesics ⋮ Characterizations of a helicoid and a catenoid
Cites Work
- Existence conditions for coons patches interpolating geodesic boundary curves
- Parametric representation of a surface pencil with a common spatial geodesic
- Constrained design of polynomial surfaces from geodesic curves
- Cubic polynomial patches through geodesics
- Quintic parametric polynomial minimal surfaces and their properties
- Discrete Coons patches
- Bézier surfaces of minimal area: the Dirichlet approach
- Efficient computation of geodesic shortest paths
- The Discrete Geodesic Problem
- Computing geodesic paths on manifolds
- Discrete constant mean curvature surfaces and their index
- Mathematics of Surfaces
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