Centroidal Voronoi diagrams for isotropic surface remeshing

Centroidal Voronoi diagrams for isotropic surface remeshing

This paper proposes a new method for isotropic remeshing of triangulated surface meshes. Given a triangulated surface mesh to be resampled and a user-specified density function defined over it, we first distribute the desired number of samples by generalizing error diffusion, commonly used in image halftoning, to work directly on mesh triangles and feature edges. We then use the resulting sampl...

Isotropic Surface Remeshing

This paper proposes a new method for isotropic remeshing of triangulated surface meshes. Given a triangulated surface mesh to be resampled and a user-specified density function defined over it, we first distribute the desired number of samples by generalizing error diffusion, commonly used in image halftoning, to work directly on mesh triangles and feature edges. We then use the resulting sampl...

Isotropic Surface Remeshing

Direct Resampling for Isotropic Surface Remeshing

We present a feature-sensitive remeshing algorithm for relaxation-based methods. The first stage of the algorithm creates a new mesh from scratch by resampling the reference mesh with an exact vertex budget with either uniform or non-uniform vertex distribution according to a density function. The newly introduced samples on the mesh surface are triangulated directly in 3D by constructing a mut...

Centroidal Voronoi Diagrams and Euler-Lagrangian Methods for Astrophysical Simulations

Large scale cosmological simulations such as galaxy and star formation are of great interest to cosmologists. These simulations are done by consideration of relativistic, compressible, discontinuous fluids. Many techniques from particle based to adaptive meshing have been explored, each with advantages and disadvantages. Here, the limitations of centroidal Voronoi tessellations with these astro...