Generating blend surfaces using partial differential equations
Computer-Aided Design
Using partial differential equations to generate free-form surfaces: 91787
Computer-Aided Design
Techniques for interactive design using the PDE method
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design - Special issue dedicated to Paul de Faget de Casteljau
Improved bi-Laplacian mesh fairing
Mathematical Methods for Curves and Surfaces
Bézier Surfaces of Minimal Area
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
On harmonic and biharmonic Bézier surfaces
Computer Aided Geometric Design
Spectral Properties of Banded Toeplitz Matrices
Spectral Properties of Banded Toeplitz Matrices
On the existence of biharmonic tensor-product Bézier surface patches
Computer Aided Geometric Design
Triangular Bézier surfaces of minimal area
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Bézier surfaces of minimal internal energy
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Geometric fairing of irregular meshes for free-form surface design
Computer Aided Geometric Design
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We approach surface design by solving second-order and fourth-order Partial Differential Equations (PDEs). We present many methods for designing triangular Bezier PDE surfaces given different sets of prescribed control points and including the special cases of harmonic and biharmonic surfaces. Moreover, we introduce and study a second-order and a fourth-order symmetric operator to overcome the anisotropy drawback of the harmonic and biharmonic operators over triangular Bezier surfaces.