The Deformable Simplicial Complex Method

About | Animations | Publications | Code

About

The deformable simplicial complex (DSC) method is a recent, Lagrangian method for deformable interface tracking developed at the Department of Informatics and Mathematical Modelling, Technical University of Denmark.

The method is quite general and has been implemented in both 2D and 3D. It has applied to 3D geometric flows, finding cut loci on Riemannian 2-manifolds, and to fluid simulation.

Animations

Animations created with the DSC method can be found at Marek Misztal's Vimeo account.

Publications

Method description

Topology Adaptive Interface Tracking Using the Deformable Simplicial Complex [link]

M. K. Misztal, J. A. Bærentzen. ACM Transactions on Graphics, Vol. 31, Issue 3, 2012. Presented at SIGGRAPH, Los Angeles, USA, 2012.

Deformable Simplicial Complexes [link]

M. K. Misztal. PhD thesis, 2010.

Fluid simulation using the DSC method

Multiphase Flow of Immiscible Fluids on Unstructured Moving Meshes [link]

M. K. Misztal, K. Erleben, A. Bargteil, J. Fursund, B. Bunch Christensen, J. A. Bærentzen, R. Bridson. In Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA), Lausanne, Switzerland, 2012.

Mathematical Foundation of the Optimization-based Fluid Animation Method [link]

K. Erleben, M. K. Misztal, J. A. Bærentzen. In Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA), Vancouver, Canada, 2011.

Optimization-based Fluid Simulation on Unstructured Meshes

M. K. Misztal, R. Bridson, K. Erleben, J. A. Bærentzen, F. Anton. In Proceedings of the 7th Workshop on Virtual Reality Interaction and Physical Simulation (VRIPHYS), Copenhagen, Denmark, 2010.

Topology Optimization

Topology optimization using an explicit interface representation [link]

A. Nyman Christiansen, M. Nobel-Jørgensen, N. Aage, O. Sigmund, J. A. Bærentzen. In STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION - 2014, Volume 49, Issue 3, pp. 387-399

Other applications

Cut Locus Construction using Deformable Simplicial Complexes

M. K. Misztal, J. A. Bærentzen, F. Anton, S. Markvorsen. In Proceedings of International Symposium on Voronoi Diagrams in Science and Engineering (ISVD), Qingdao, China, 2011.

Code

Is on github:
https://github.com/asny/DSC
https://github.com/asny/2D-DSC