Bibtex 4(2007)15
The art to keep in touch: The 'good use' of Lagrange multipliers
@article{JNR07,
author="Antoine Jonquet and Olivier Nocent and Yannick Remion",
title="The art to keep in touch: The 'good use' of Lagrange multipliers",
journal="Journal of Virtual Reality and Broadcasting",
editor = "Jens Herder",
year="2007",
volume="4",
number="15",
month=jan,
note="{\tt urn:nbn:de:0009-6-12767,}, ISSN 1860-2037",
abstract = "Physically-based modeling for computer animation allows
to produce more realistic motions in less time
without requiring the expertise of skilled animators.
But, a computer animation is not only a numerical
simulation based on classical mechanics since it follows
a precise story-line. One common way to define
aims in an animation is to add geometric constraints.
There are several methods to manage these constraints
within a physically-based framework. In this paper,
we present an algorithm for constraints handling based
on Lagrange multipliers. After few remarks on the
equations of motion that we use, we present a first algorithm
proposed by Platt. We show with a simple
example that this method is not reliable. Our contribution
consists in improving this algorithm to provide
an efficient and robust method to handle simultaneous
active constraints."
}
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