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 the parameter domain of the optimal parameterization. © 2012 CAD Solutions, LLC.link_to_subscribed_fulltex