Abstract

D'AMATO, J.P.  and  LOTITO, P.. Mesh optimization with volume preservation using GPU. Lat. Am. appl. res. [online]. 2011, vol.41, n.3, pp.291-297. ISSN 0327-0793.

Surface mesh optimization represents a challenge especially when it corresponds to an evolving geometry used in numerical simulations where the mesh is restricted to an enclosed volume and requires the preservation of certain features. In this context, we propose an efficient and parallelizable method to retrieve the local volume after performing successive operations, such as smoothing and topological changes that optimize the quality of the triangles. Due to the complexity of this algorithm, GPU is used as a calculation unit to reduce processing time. Additionally, we present a simple and robust detection of singularities that helps to preserve the appearance of the mesh during the remeshing process. This process is finally validated by the experimental study in simple geometries (such as spheres and regular polyhedra) and then applied to non-regular meshes obtained from segmentations of medical images or from CAD tools.

Keywords : Mesh Generation; Quality Metrics; Optimization; Volume Preservation.

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