Multidimensional Shape Modeling for Animation

Abstract

An approach is proposed for generating animation sequences from functionally defined multidimensional shapes. An animation sequence can be considered as a particular case of a multimedia object and can be described using 2D/3D world coordinates, time, color, texture, audio, or other "multimedia coordinates". We introduce a space mapping between geometric coordinates and multimedia coordinates. An example is provided for modeling a multidimensional shape, mapping it onto multimedia space, and subsequently generating the animation sequence Homotopic Fun in 5D space.