Recent Advances in Remeshing of Surfaces

Dupin Meshing: A Parameterization Approach to Planar Hex-Dominant Meshing

Planar hexagonal-dominant (PHex) meshes are an important class of meshes with minimal vertex-degree. They are highly useful in the rationalization of freeform architectural surfaces, for construction with flat steel, glass, or wooden panels of equal thickness. A PHex mesh must contain both convex and concave faces of varying anisotropic shapes due to the planarity constraint. Therefore, while p...

EQSM: An efficient high quality surface grid generation method based on remeshing

The EQSM method for the generation of unstructured triangular surface grids is presented. The method is based on remeshing techniques and avoids the need for traditional mesh triangulation approaches, such as the advancing front and the Delaunay methods. Normalized edge lengths, based on a metric derived from curvature or from a user-specified spacing, are employed as the remeshing criterion. I...

Remeshing triangulated surfaces with optimal parameterizations

The use of polygonal meshes, especially triangle meshes, is manifold, but a lot of algorithms require the mesh to be structured in a certain way and cannot be applied to an arbitrarily structured mesh. The process of replacing an arbitrarily structured mesh by a structured one is called remeshing and the most important class of structered meshes are triangle meshes with subdivision connectivity...

Preparation of Control Space for Remeshing of Polygonal Surfaces

The subject of the article concerns the issues of remeshing, transforming a polygonal mesh into a triangular mesh adapted to its surface. From the initial polygonal mesh, the curvature of surface and boundary is retrieved and used to calculate a metric tensor varying in three-dimensional space. In the proposed approach, the curvature is computed using local approximation of surfaces and curves ...

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