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RESEARCH PRODUCT
A third order partial differential equation for isotropic boundary based triangular Bézier surface generation
Juan MonterdeAna Arnalsubject
Bézier surfaceSurface (mathematics)PolynomialPartial differential equationPDE surfaceOperator (physics)Applied MathematicsMathematical analysisFirst-order partial differential equationBoundary (topology)Partial differential equationIsotropyPDE surfaceComputational MathematicsComputer Science::GraphicsBézier triangleExplicit solutionMathematicsdescription
Abstract We approach surface design by solving a linear third order Partial Differential Equation (PDE). We present an explicit polynomial solution method for triangular Bezier PDE surface generation characterized by a boundary configuration. The third order PDE comes from a symmetric operator defined here to overcome the anisotropy drawback of any operator over triangular Bezier surfaces.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-08-01 | Journal of Computational and Applied Mathematics |