filename     : mue04c.pdf
entry        : appeared
conference   : ACM SIGGRAPH / Eurographics Symposium on Computer Animation (SCA 2004), Genoble, France, August 27-29, 2004 
pages        : 141-151
year         : 2004
month        : August
title        : Point Based Animation of Elastic, Plastic and Melting Objects
subtitle     :
author       : Matthias Müller, Richard Keiser, Andrew Nealen, Mark Pauly, Markus Gross, Marc Alexa
booktitle    : Proceedings of ACM SIGGRAPH / Eurographics Symposium on Computer Animation 2004
ISSN/ISBN    : 1727-5288 / 3-905673-14-2
editor       : R. Boulick, D.K. Pai
publisher    : Eurographics Association
publ.place   : Germany
volume       : 
issue        :
language     : english
keywords     : point based animation, physically based animation, mesh free methods, elasticity, plasticity
abstract     : We present a method for modeling and animating a wide spectrum of volumetric objects, with material properties anywhere in the range from stiff elastic to highly plastic. Both the volume and the surface representation are point based, which allows arbitrarily large deviations form the original shape. In contrast to previous point based elasticity in computer graphics, our physical model is derived from continuum mechanics, which allows the specification of common material properties such as Young's Modulus and Poisson's Ratio. In each step, we compute the spatial derivatives of the discrete displacement field using a Moving Least Squares (MLS) procedure. From these derivatives we obtain strains, stresses and elastic forces at each simulated point. We demonstrate how to solve the equations of motion based on these forces, with both explicit and implicit integration schemes. In addition, we propose techniques for modeling and animating a point-sampled surface that dynamically adapts to deformations of the underlying volumetric model.