Variational Tetrahedral Meshing Export

@article{citeulike:257490, abstract = {In this paper, a novel Delaunay-based variational approach to isotropic tetrahedral meshing is presented. To achieve both robustness and efciency, we minimize a simple mesh-dependent energy through global updates of both vertex positions and connectivity. As this energy is known to be the L1 distance between an isotropic quadratic function and its linear interpolation on the mesh, our minimization procedure generates well-shaped tetrahedra. Mesh design is controlled through a gradation smoothness parameter and selection of the desired number of vertices. We provide the foundations of our approach by explaining both the underlying variational principle and its geometric interpretation. We demonstrate the quality of the resulting meshes through a series of examples. Keywords: Isotropic meshing,Delaunay mesh,sizing eld,slivers.}, author = {Alliez, Pierre and Cohen-Steiner, David and Yvinec, Mariette and Desbrun, Mathieu}, booktitle = {ACM SIGGRAPH}, citeulike-article-id = {257490}, citeulike-linkout-0 = {http://www-sop.inria.fr/geometrica/team/Pierre.Alliez/tet_meshing/tet_meshing.html}, journal = {ACM Transaction on Graphics}, keywords = {delaunay, graphics, mesh, triangulation}, posted-at = {2005-07-16 07:07:02}, priority = {2}, title = {Variational Tetrahedral Meshing}, url = {http://www-sop.inria.fr/geometrica/team/Pierre.Alliez/tet_meshing/tet_meshing.html}, year = {2005} }

TY - JOUR ID - citeulike:257490 L3 - citeulike-article-id:257490 N2 - In this paper, a novel Delaunay-based variational approach to isotropic tetrahedral meshing is presented. To achieve both robustness and efciency, we minimize a simple mesh-dependent energy through global updates of both vertex positions and connectivity. As this energy is known to be the L1 distance between an isotropic quadratic function and its linear interpolation on the mesh, our minimization procedure generates well-shaped tetrahedra. Mesh design is controlled through a gradation smoothness parameter and selection of the desired number of vertices. We provide the foundations of our approach by explaining both the underlying variational principle and its geometric interpretation. We demonstrate the quality of the resulting meshes through a series of examples. Keywords: Isotropic meshing,Delaunay mesh,sizing eld,slivers. JF - ACM Transaction on Graphics TI - Variational Tetrahedral Meshing T2 - ACM SIGGRAPH KW - delaunay KW - graphics KW - mesh KW - triangulation AU - Alliez, Pierre AU - Cohen-Steiner, David AU - Yvinec, Mariette AU - Desbrun, Mathieu PY - 2005/// UR - http://www-sop.inria.fr/geometrica/team/Pierre.Alliez/tet_meshing/tet_meshing.html ER -