Point based animation of elastic, plastic and melting objects

By Matthias Müller, Richard Keiser, Andrew Nealen, Mark Pauly, Markus H. Gross, Marc Alexa. Symposium on Computer Animation, 2004

484 citations recorded by the source corpus.

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.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/fe913374cfbad04c02fa3f00d6e22d7db9b80178

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

A moving least squares material point method with displacement discontinuity and two-way rigid body coupling (2018, methodology): “…been widely adopted in computer graphics, including for image deformation [Kanamori et al. 2011; Schaefer et al. 2006], surface reconstruction [Lancaster and Salkauskas 1981; Levin 2004], particle-based simulation [Band et al. 2017; Müller et al. 2004], and data compression [Langlois et al. 2014].”
Meshless deformations based on shape matching (2005, methodology): “…1999], the Finite Element Method (FEM) [Debunne et al. 2001], [Müller et al. 2002], [Müller and Gross 2004], the Finite Volume Method (FVM) [Teran et al. 2003] to implicit surfaces [Desbrun and Cani 1995] and mesh-free particle systems [Desbrun and Cani 1996], [Tonnesen 1998], [Müller et al. 2004].”
A survey of point-based techniques in computer graphics (2004, background): “Even physically based modeling and animation of volumetric point-sampled models has been proposed very recently [44].”
P2P-NET: Bidirectional Point Displacement Net for Shape Transform (methodology): “Point cloud, as a 3D shape representation, has shown its advantages and applications in geometry modeling [Pauly et al. 2003], rendering [Alexa et al. 2003], and computer animation [Müller et al. 2004].”
Point-based multiscale surface representation (2006, unknown): “Permissions may be requested from Publications Dept., ACM, Inc., 1515 Broadway, New York, NY 10036 USA, fax: +1 (212) 869-0481, or permissions@acm.org.”