• Feature sensitive geometrically faithful highly regular direct triangular isotropic surface remeshing

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    • Keywords


      Triangular meshes; surface remeshing; mesh simplification; angle quality improvement; feature recognition and preservation; vertex regularity.

    • Abstract


      Achieving a geometrically faithful, feature preserved, highly regular remesh with lower mesh complexity and high element quality is an ill-posed problem of surface remeshing in research. Individual surface remeshing techniques differ based on their end goals while ignoring the other enhancements in the remesh. In this research work, we present a surface remeshing framework that aim to balance the various crucial remeshing goals to enhance the remesh quality. In surface remeshing, the mesh quality comprises—(i) mesh complexity, (ii) mesh element quality, (iii) vertex regularity, (iv) geometric fidelity, and (v) feature preservation. Our remeshing approach uses the local edge operators to achieve mesh decimation, enhance element quality, and regularize the vertex valence of the remesh while conserving the features in the remesh. During mesh decimation, we preserve features using an updated quadric error metric. The mesh element quality is enhanced bysplitting maximal angles and uplifting the minimal angles using edge split and edge collapse respectively. We maintain dynamic priority queues to maintain the maximal and minimal angles that require attention and improve them using local edge operators. High vertex regularity is achieved by valence optimization. Thegeometric faithfulness of the remesh with the original input mesh is maintained by constraining the bounds on the approximation error computed by the two-sided Hausdorff distance. In succession with other local edge operators, our algorithm can remesh low-quality mesh surfaces efficiently. The remeshes generated using our remeshing framework were compared with recent remeshing approaches using various performance metrics.

    • Author Affiliations



      1. Department of Computer Engineering, St. Francis Institute of Technology, University of Mumbai, Mumbai, India
      2. Department of Electronics and Telecommunication Engineering, St. Francis Institute of Technology, University of Mumbai, Mumbai, India
    • Dates

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