Removing the stiffness from interfacial flows with surface tension
Journal of Computational Physics
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Geometric surface processing via normal maps
ACM Transactions on Graphics (TOG)
How To Deal with Point Correspondences and Tangential Velocities in the Level Set Framework
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Computational and qualitative aspects of evolution of curves driven by curvature and external force
Computing and Visualization in Science
A finite element method for surface restoration with smooth boundary conditions
Computer Aided Geometric Design
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Geometric fairing of irregular meshes for free-form surface design
Computer Aided Geometric Design
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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Surface processing tools based on Partial Differential Equations (PDEs) are useful in a variety of applications in computer graphics, digital animation, computer aided modelling, and computer vision. In this work, we deal with computational issues arising from the discretization of geometric PDE models for the evolution of surfaces, considering both normal and tangential velocities. The evolution of the surface is formulated in a Lagrangian framework. We propose several strategies for tangential velocities, yielding uniform redistribution of mesh points along the evolving family of surfaces, preventing computational instabilities and increasing the mesh regularity. Numerical schemes based on finite co-volume approximation in space will be considered. Finally, we describe how this framework may be employed in applications such as mesh regularization, morphing, and features preserving surface smoothing.