Generating blend surfaces using partial differential equations
Computer-Aided Design
Computer-Aided Design
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Techniques for interactive design using the PDE method
ACM Transactions on Graphics (TOG)
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Generating Fair Meshes with G1 Boundary Conditions
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Acoustics Scattering on Arbitrary Manifold Surfaces
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Surface fairing and featuring by mean curvature motions
Journal of Computational and Applied Mathematics - Special issue on proceedings of the international symposium on computational mathematics and applications
A finite element method for surface restoration with smooth boundary conditions
Computer Aided Geometric Design
Discrete Laplace-Beltrami operators and their convergence
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
A robust hole-filling algorithm for triangular mesh
The Visual Computer: International Journal of Computer Graphics
A general framework for surface modeling using geometric partial differential equations
Computer Aided Geometric Design
G1 surface modelling using fourth order geometric flows
Computer-Aided Design
Geometric fairing of irregular meshes for free-form surface design
Computer Aided Geometric Design
Bicubic B-spline blending patches with optimized shape
Computer-Aided Design
Blends of canal surfaces from polyhedral medial transform representations
Computer-Aided Design
Spline surfaces of arbitrary topology with continuous curvature and optimized shape
Computer-Aided Design
| Hi-index | 0.00 |
A variational formulation of a general form fourth order geometric partial differential equation is derived, and based on which three versions of the mixed finite element method are developed. Several surface modeling problems, including surface denoising, surface blending, hole filling and surface mesh refinement with the G^1 continuity, are taken into account. The used geometric partial differential equation is universal, containing several well-known geometric partial differential equations as its special cases. The proposed method is general which can be used to construct surfaces for geometric design as well as simulate the behaviors of various geometric partial differential equations. Experimental results show that the method is efficient and gives very desirable results.