1. A computer-implemented method for creating a character for an animation, the method comprising: modifying a first polygonal geometric structure, having a specific form, to generate a second polygonal geometric structure having another form, the first polygonal geometric structure being associated with a definition of multiple points relative to vertices on the first polygonal geometric structure; transforming the definition, in multiple progressive refinements, to generate a transformed definition for the second polygonal geometric structure; and storing the transformed definition in association with the second polygonal geometric structure, the transformed definition to be used in generating a geometry for the second polygonal geometric structure.