TY - JOUR T1 - Curvature-adapted remeshing of CAD surfaces JF - Engineering with Computers Y1 - 2017 A1 - Franco Dassi A1 - Andrea Mola A1 - Hang Si PB - Springer Nature VL - 34 UR - https://doi.org/10.1007/s00366-017-0558-2 ER - TY - JOUR T1 - Curvature-adapted remeshing of CAD surfaces JF - Procedia Engineering Y1 - 2014 A1 - Franco Dassi A1 - Andrea Mola A1 - Hang Si AB -

A common representation of surfaces with complicated topology and geometry is through composite parametric surfaces as is the case for most CAD modelers. A challenging problem is how to generate a mesh of such a surface that well approximates the geometry of the surface, preserves its topology and important geometric features, and contains nicely shaped elements. In this work, we present an optimization-based surface remeshing method that is able to satisfy many of these requirements simultaneously. This method is inspired by the recent work of Lévy and Bonneel (Proc. 21th International Meshing Roundtable, October 2012), which embeds a smooth surface into a high-dimensional space and remesh it uniformly in that embedding space. Our method works directly in the 3d spaces and uses an embedding space in R6 to evaluate mesh size and mesh quality. It generates a curvatureadapted anisotropic surface mesh that well represents the geometry of the surface with a low number of elements. We illustrate our approach through various examples.

PB - Elsevier VL - 82 UR - https://doi.org/10.1016/j.proeng.2014.10.388 N1 - This is an open access article under the CC BY-NC-ND license U1 - 35220 U2 - Mathematics U4 - 1 ER -