filename     : wicke06.pdf
entry        : inproceedings
conference   : Eurographics Symposium on Point-Based Graphics, Boston, USA, 29-30 July, 2006
pages        : 8
year         : 2006
month        : July
title        : Versatile Virtual Materials using Implicit Connectivity
subtitle     : 
author       : Martin Wicke, Philipp Hatt, Mark Pauly, Matthias Mueller, Markus Gross
booktitle    : Proceedings of the Eurographics Symposium on Point-Based GraphicsISSN/ISBN    : 1-56881-352-X
editor       : Mario Botsch, Baoquan Chen, Mark Pauly, Matthias Zwicker
publisher    : Eurographics Association
publ.place   :
volume       :
issue        :
language     : English
keywords     : 
abstract     : 
We propose a new method for strain computation in mesh-free
simulations.  Without storing connectivity information, we compute
strain using local rest states that are implicitly defined by the
current system configuration.  Particles in the simulation are subject
to restoring forces arranging them in a locally defined lattice. The
orientation of the lattice is found using local shape matching
techniques. The strain state of each particle can then be computed by
comparing the actual positions of the neighboring particles to their
assigned lattice positions. All necessary information needed to
compute strains is contained in the current state of the simulation,
no rest state or connectivity information is stored. Since no time
integration is used to compute the strain state, errors cannot
accumulate, and the method is well-suited for stiff materials.  In
order to simulate phase transitions, the strain computation can be
integrated into an existing particle-based uid simulation
framework. Implementing phase transitions between liquid and solid
states becomes simple and elegant, since no transfer of material
between different representations is needed. Using the current
neighborhood relationships, the model provides penalty-based
inter-object and self-collision handling at no additional
computational cost.