6533b7ddfe1ef96bd12747b6

RESEARCH PRODUCT

STUDY OF VOLUME VARIATION OF IMPLICIT OBJECTS

Dominique FaudotGilles Gesquière

subject

Mathematical optimizationDiscretizationComputer scienceVolume variationProcess (computing)Volume (computing)Function (mathematics)AnimationVariation (game tree)Computer Graphics and Computer-Aided DesignComputer Science ApplicationsRadius of influenceComputer Vision and Pattern RecognitionAlgorithm

description

We propose studying the variations of volume of implicit objects during an animation according to several points of view: choice of the function of density, variations of parameters such as the iso-value and the radius of influence for a given function, variations of the parameters inherent in a particular function. Modification of parameters of the function of density must be carried out with care. There are no rules concerning these variations. To avoid the non-monotonous variations, it is necessary to choose a function of density beforehand and study the intervals of variation of its parameters. A new discretization makes it possible to locate these variations for a later use in a process of control of these variations.

https://doi.org/10.1142/s0219467806002483