Preprint A632/2009
Simplicial Diffeomorphisms
Luiz Velho | Mello, Vinicius
Keywords: implicit functions
In this paper we will develop a theory for simplicial diffeomorphims, that is, diffeomorphims that preserve the incidence relations of a simplicial complex, and analyze alternative schemes to construct them with different properties. In combining piecewise linear functions on complexes with simplicial diffeomorphisms, we propose a new representation of curves and surfaces (and hypersurfaces, in general) that is simultaneously implicit and parametric.