Hi,
I am working on the cutting (or tearing) of tetrahedral meshes in the team Mimesis at Strasbourg. Our idea uses a combinatorial map topology (based on the open-source framework CGOGN) to allow for topological changes in real time. We combine a new remeshing method with the snapping of nodes to the cut to incorporate a cut into a finite element mesh. A short overview can be found on our team website in the project virtual cutting simulation. If you would like to have more details you can look into the publication Virtual Cutting of Deformable Objects based on Efficient Topological Operations published this year in The Visual Computer, Springer-Verlag, 2015, 31 (6-8), pp.831-841.
The code remains private for the moment, but we are working on a distributable binary of Sofa, that will allow you to use our method. If there are news on this topic, we will keep you updated.
Please feel also free to contact me if you have any questions regarding the idea or the advancement with the binary.
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