Explicit Bézier control net of a PDE surface
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Publication:2398450
DOI10.1016/j.camwa.2016.12.013zbMath1368.65021OpenAlexW2570060644MaRDI QIDQ2398450
Publication date: 16 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.12.013
partial differential equationexplicit solutionsurface generationbiharmonic surfacePDE surfacetensor product Bézier surface
Related Items (4)
Construction of Bézier Surfaces from Prescribed Boundary ⋮ Construction of Bézier surfaces with energy-minimizing diagonal curves from given boundary ⋮ Construction of triharmonic Bézier surfaces from boundary conditions ⋮ A new method to solve the triangular Plateau-Bézier problem
Cites Work
- Extending and correcting some research results on minimal and harmonic surfaces
- PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces
- Two \(C^{1}\)-methods to generate Bézier surfaces from the boundary
- A third order partial differential equation for isotropic boundary based triangular Bézier surface generation
- Explicit polynomial solutions of fourth order linear elliptic partial differential equations for boundary based smooth surface generation
- Using partial differential equations to generate free-form surfaces
- Generating harmonic surfaces for interactive design
- Bézier surfaces of minimal area: the Dirichlet approach
- On harmonic and biharmonic Bézier surfaces
- On the existence of biharmonic tensor-product Bézier surface patches
- A general 4th-order PDE method to generate Bézier surfaces from the boundary
- Mathematics of Surfaces
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