Splat representation of parametric surfaces

Parametric Representation of Facial Expressions on Pde-based Surfaces

Parameterisation of facial expressions on PDE surface representations of human faces are presented in this work. Taking advantage of the boundary-value approach inherent to Bloor-Wilson PDE method, facial expressions are achieved by manipulating the original boundary curves. Such curves are responsible for generating a surface representation of a human face in its neutral configuration, so that...

Parametric representation of preferences

A preference is invariant with respect to a transformation τ if its ranking of acts is unaffected by a reshuffling of the states under τ . We show that any invariant preference must be parametric: there is a unique sufficient set of parameters such that the preference ranks acts according to their expected utility given the parameters. This property holds for all non-trivial preferences, provid...

Optimal Sampling of Parametric Surfaces

We study the problem of optimally sampling parametric surfaces by means of reparameterization. A criterion is first formulated for measuring the parameterization quality of a given surface. According to this criterion, the optimal parameterization is identified for the surface by exploring admissible reparameterizations. Then the optimal sampling of the surface is obtained by uniformly sampling...

Implicitization of Rational Parametric Surfaces

A generalized projective implicitization theorem is presented that can be used to solve the implicitization of rational parametric curves and surfaces in an affine space. The Groebner bases technique is used to implement the algorithm. The algorithm has the advantages that it can handle base points in a parametrization, and no extra factors will be introduced into an implicit equation. The comp...

Representation of Adsorption Data for the Case of Energetically Heterogeneous Solid Surfaces Using Artificial Neural Network