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Mathematics Group

Moving Meshing Algorithms for Implicit Structures

DistMesh is a robust and reliable method for generating unstructured triangular and tetrahedral meshes, where the geometry is specified by implicit functions. DistMesh uses a Delaunay triangulation routine and tries to optimize the node locations by a force-based smoothing procedure. The topology is regularly updated by Delaunay, and boundary points are only allowed to move tangentially to the boundary by projections using the implicit function. The approach allows meshing of MRI/CT images and connections to the level set method, and produces highquality mesh elements, which is particularly important to avoid inversion with moving and deforming meshes.