About
I’m a PhD student at Université catholique de Louvain working on hexahedral mesh generation within the Hextreme group. Most of my work revolves around using combinatorial techniques to look for the smallest hex-mesh with a specific boundary, or to find geometric realizations with specific mesh topologies.
Advisor: Jean-François Remacle
Talks
- Finding Hexahedrizations for Small Quadrangulations of the Sphere (SIGGRAPH 2019, Los Angeles)
- Combinatorial Problems that Make Hex-Meshing Hard (June 2019, Louvain-la-neuve)
- A 44-element mesh of Schneiders' Pyramid (IMR 2018, Albuquerque)
Publications
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Combinatorial Techniques for Hexahedral Mesh Generation
Kilian Verhetsel
PhD Thesis (2024)
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Robust Topological Construction of All-Hexahedral Boundary Layer Meshes
Maxence Reberol, Kilian Verhetsel, François Henrotte, David Bommes, Jean-François Remacle
ACM Transactions on Mathematical Software, 2023
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Reviving the Search for Optimal Tetrahedralizations
Célestin Marot, Kilian Verhetsel, Jean-François Remacle
28th International Meshing Roundtable (2019)
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Finding Hexahedrizations for Small Quadrangulations of the Sphere
Kilian Verhetsel, Jeanne Pellerin, Jean-François Remacle
SIGGRAPH (2019)
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There are 174 subdivisions of the
hexahedron into tetrahedraJeanne Pellerin, Kilian Verhetsel, Jean-François Remacle
SIGGRAPH Asia (2018)
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A 44-Element Mesh of Schneiders' Pyramid:
Bounding the Difficulty of Hex-Meshing ProblemsKilian Verhetsel, Jeanne Pellerin, Jean-François Remacle
27th International Meshing Roundtable
(2018, Best Technical Paper Award) -
Identifying combinations of tetrahedra
into hexahedra: A vertex based strategyJeanne Pellerin, Amaury Johnen, Kilian Verhetsel, Jean-François Remacle
Computer-Aided Design (2018)
Posts
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Wherein you attempt to transform a quadrangulation into a cube. An activity variously described as non-difficult and amusing, although computer may be somewhat better than humans at it.