Advances in Mesh Processing and Topology Optimization

The field of mesh processing and topology optimization is rapidly evolving, with a focus on developing innovative methods for mesh denoising, remeshing, and simplification. Recent research has explored the use of total generalized variation and inter-angle optimization to improve mesh quality and efficiency. Additionally, advances in topology optimization have led to the development of adaptive refinement and coarsening strategies based on configurational forces, enabling the creation of high-resolution structures with reduced computational effort. Noteworthy papers in this area include:

  • Total Generalized Variation of the Normal Vector Field and Applications to Mesh Denoising, which proposes a novel formulation for mesh denoising.
  • Configurational-force-driven adaptive refinement and coarsening in topology optimization, which introduces a multi-level adaptive refinement and coarsening strategy based on configurational forces.

Sources

Total Generalized Variation of the Normal Vector Field and Applications to Mesh Denoising

Isotropic Remeshing with Inter-Angle Optimization

Model Simplification through refinement

On Quad Mesh Extraction From Messy Grid Preserving Maps

Configurational-force-driven adaptive refinement and coarsening in topology optimization

Parallel Ray Tracing of Black Hole Images Using the Schwarzschild Metric

Analysis of Design Algorithms and Fabrication of a Graph-based Double-curvature Structure with Planar Hexagonal Panels

A Scientist Question: Research on the Impact of Super Structured Quadrilateral Meshes on Convergence and Accuracy of Finite Element Analysis

Design and analysis of twisted and BGG Stokes-de Rham polytopal complexes

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