Morin and Goldman [Computer Aided Geometric Design 17 (2000) 813] have recently presented a remarkable new framework, based on employing Poisson series, for describing analytic fu...
Given an m-dimensional surface in Rn , we characterize parametric curves in , which interpolate or approximate a sequence of given points pi and minimize a given energy functio...
In this paper we present an algorithm for parametrizing approximate algebraic surfaces by lines. The algorithm is applicable to -irreducible algebraic surfaces of degree d having ...
We propose a new wavelet compression algorithm based on the rate-distortion optimization for densely sampled triangular meshes. Exploiting the normal remesher of Guskov et al., th...
The paper iterates on the observation made independently by several groups of authors that building subdivision schemes out of simple, very local and geometrically invariant avera...
By exploiting the freedom in the choice of parametrization of a parametric surface, we show that there exist quadratic parametric surfaces that approximate a given parametric surf...
In this paper we present a novel approach to construct B-spline wavelets under constraints, taking advantage of the lifting scheme. Constrained B-spline wavelets allow multiresolu...