We propose an energy-based framework for approximating surfaces from a cloud of point measurements corrupted by noise and outliers. Our energy assigns a tangent plane to each (noi...
A well-known method of estimating the length of a parametric curve in Rd is to sample some points from it and compute the length of the polygon passing through them. In this paper...
Michael S. Floater, Atgeirr F. Rasmussen, Ulrich R...
In this paper, we address the problem of curve and surface reconstruction from sets of points. We introduce regular interpolants which are polygonal approximations of planar curve...
We focus on the class of regular models defined by Várady et al. for reverse engineering purposes. Given a 3D surface M represented through a dense set of points, we present a n...
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...