77 citations · 142 across the 25 of their papers we have counts for
4 papers · 2 filters
Representing three-dimensional cross fields using 4th order tensors
Alexandre Chemin, François Henrotte, Jean-François Remacle +1
This paper presents a new way of describing cross fields based on fourth order tensors. We prove that the new formulation is forming a linear space in . The algebraic…
A 44-element mesh of Schneiders' pyramid: bounding the difficulty of hex-meshing problems
Kilian Verhetsel, Jeanne Pellerin, Jean-françois Remacle
This paper shows that constraint programming techniques can successfully be used to solve challenging hex-meshing problems. Schneiders' pyramid is a square-based pyramid whose face…
One machine, one minute, three billion tetrahedra
Célestin Marot, Jeanne Pellerin, Jean-François Remacle
This paper presents a new scalable parallelization scheme to generate the 3D Delaunay triangulation of a given set of points. Our first contribution is an efficient serial implemen…
There are 174 Subdivisions of the Hexahedron into Tetrahedra
Jeanne Pellerin, Kilian Verhetsel, Jean-Francois Remacle
This article answers an important theoretical question: How many different subdivisions of the hexahedron into tetrahedra are there? It is well known that the cube has five subdivi…