![](bg8.png)
geometry (final image) in 3 clearly separated
cascading models introduces manageability in the
modelling processes, and variability in the
observation of the physically generated dynamics.
Hence, besides employing the base topology and
simple geometry, as presented in this article, the three
models may indeed drastically differ in their
structure, and in their complexity. We plan to build
over this advantage to experiment with varied
physical models upstream, and varied topological
constructs and geometrical renderings for each of
them: non-regular physical models, refined
topologies, diverse geometrical embedding, etc.
Rooting on formal approaches on both the physical
and topological sides will ease such future
explorations, we assume.
AKNOWLEDGMENTS
We thank to Saman Kalantari for the core 3D volumic
algorithms of the Splitting MAT system. Thanks to
Dr Lilian Aveneau for his help for rendering
animation. ACROE and ICA are supported by the
French Ministry of Culture.
REFERENCES
Carter, B.J., Wawrzynek, P.A. and Ingraffea, A.R., 2000.
"Automated 3-d crack growth simulation".
International Journal for Numerical Methods in
Engineering, vol 47, p. 229–253.
Chen, F., Wang, C., Xie, B. and Qin, H., 2013. "Flexible
and rapid animation of brittle fracture using the
smoothed particle hydrodynamics formulation".
Journal of Visualization and Computer Animation, vol
24, num. 3-4, p. 215-224.
Darles, E. Kalantari, S. Skapin, X. Crespin and B. Luciani,
A., 2011. "Hybrid Physical - Topological Modeling of
Physical Shapes Transformations". DMDCM 2011 -
Workshop on Digital Media and Digital Content
Managemen 2011t, China, p.154-157.
Fléchon, E., Zara, F., Damiand, G. and Jaillet, F., 2013. "A
generic topological framework for physical
simulation". 21
st
International Conference on
Computer Graphics, Visualization and Computer
Vision, Plzen, Czech Republic, p. 104-113. ISBN: 1-3.
Frerichs, D. Vidler, 1. and Gatzidis, C., 2015. "A survey on
object deformation and decomposition in computer
graphics". Computers & Graphics, vol 52, p 18-32.
Jund, T., Allaoui A., Darles E., Skapin X, Meseure, P. and
Luciani, A., 2012. "Mapping Volumetric Meshes to
Point-Based Motion Models". VRIPHYS 2012 - 9th
Workshop on Virtual Reality Interactions and Physical
Simulations, Darmstadt, Germany, p.11-20.
Kalantari, S., Luciani, A. and Castagné, N., 2014. "A New
Way to Model Physics-Based Topology
Transformations: Splitting Mat". 12th International
Symposium on Smart Graphics, Tapeï, Taiwan.
Springer, p.133-145.
Lienhart, P., 1994. "N-Dimensional Generalized
Combinatorial Maps and Cellula Quasi-Manifolds".
International Journal of Computational Geometry
Applications. vol 04, num. 03, p. 275-324.
Luciani, A. and Godard, A., 1997. "Simulation of Physical
Object Construction Featuring Irreversible State
Changes". Proceedings of WSCG. p 321-330.
Luciani, A., Allaoui, A., Castagné, N., Darles, E., Skapin,
X. and Meseure, P., 2014. "MORPHO-Map: A new
way to model animation of topological
transformations". Computer Graphics Theory and
Applications (GRAPP), Lisbonne, France, p. 1-13.
Manteaux, P.L., Sun, W.L., Faure, F., Cani, M.P. and
O'Brien, J.F., 2015. "Interactive Detailed Cutting of
Thin Sheets". In Proceedings of ACM SIGGRAPH
Motion in Games, p. 1–8.
Meseure, P., Darles, E. and Skapin, X., 2010. "Topology-
based Physical Simulation". Virtual Reality Interaction
and Physical Simulation, Copenhague, Denmark. p.1-
10.
Muguercia, L., Bosch, C. and Patow, G., 2014. "Fracture
modeling in computer graphics". Computers &
Graphics, Volume 45, p. 86-100.
Paulus, C., Untereiner, L., Courtecuisse, H., Cotin, S. and
Cazier, D., 2015. "Virtual Cutting of Deformable
Objects based on Efficient Topological Operations".
Visual Computer., vol 31, num. 6-8, p. 831-841.
Pauly, M., Keiser, R., Adams, B., Durth, P., Gross, M. and
Guibas, L.J., 2005. "Meshless Animation of Fracturing
Solids". ACM Trans. Graph., vol 24, num. 3, p. 957–
964.
Steinemann, D., Otaduy, M.A. and Gross, M., 2009.
"Splitting Meshless Deforming Objects with Explicit
Surface Tracking". Graph. Models. 2009, vol 71, num.
6, p. 209–220.
Zhuang, X., Augarde, C.E. and Mathisen, K.M. 2012.
"Fracture modeling using meshless methods and level
sets in 3D: Framework and modeling". International
Journal for Numerical Methods in Engineering., vol.
92, num. 11, p. 969–998
GRAPP 2018 - International Conference on Computer Graphics Theory and Applications
214