filename     : Mue05.pdf
entry        : inproceedings
conference   : SIGGRAPH 2005, Los Angeles, USA, 31 July - 4 August, 2005
pages        : 471-478
year         : 2005 
month        : July
title        : Meshless Deformations Based on Shape Matching
subtitle     :
author       : Matthias Müller, Bruno Heidelberger, Matthias Teschner, Markus Gross
booktitle    : ACM Transactions on Graphics, Proceedings of SIGGRAPH 2005 (Conference Issue)
ISSN/ISBN    :
editor       : 
publisher    : ACM Press / ACM SIGGRAPH
publ.place   :
volume       :
issue        :
language     : English
keywords     : deformable modeling, geometric deformation, shape matching, real-time simulation
abstract     : 

We present a new approach for simulating deformable objects. The underlying model is
geometrically motivated. It handles point-based objects and does not need connectivity
information. The approach does not require any pre-processing, is simple to compute,
and provides unconditionally stable dynamic simulations.

The main idea of our deformable model is to replace energies by geometric constraints
and forces by distances of current positions to goal positions. These goal positions
are determined via a generalized shape matching of an undeformed rest state with the
current deformed state of the point cloud. Since points are always drawn towards well-
defined locations, the overshooting problem of explicit integration schemes is eliminated.
The versatility of the approach in terms of object representations that can be handled,
the efficiency in terms of memory and computational complexity, and the unconditional
stability of the dynamic simulation make the approach particularly interesting for games.