Triangle meshes are used in many important shape-related applications including geometric modeling, animation production, system simulation, and visualization. However, these …
The study of algorithms for generating unstructured meshes of triangles and tetrahedra began with mechanical and aeronautical engineers who decompose physical domains into …
The notion of ε-sample, introduced by Amenta and Bern, has proven to be a key concept in the theory of sampled surfaces. Of particular interest is the fact that, if E is an ε-sample of a …
R van de Weygaert, W Schaap - Data analysis in cosmology, 2009 - Springer
The spatial cosmic matter distribution on scales of a few up to more than a hundred megaparsec displays a salient and pervasive foam-like pattern. Revealed through the …
We analyze the joint efforts made by the geometry processing and the numerical analysis communities in the last decades to define and measure the concept of “mesh quality” …
Computational geometry emerged as a discipline in the seventies and has had considerable success in improving the asymptotic complexity of the solutions to basic geometric problems …
Implicit surfaces (IS) are commonly used in image creation, modeling environments, modeling objects, and scientific data visualization. In this article, we present a survey of …
S Plantinga, G Vegter - Proceedings of the 2004 Eurographics/ACM …, 2004 - dl.acm.org
Implicit surfaces are defined as the zero set of a function F: R3← R. Although several algorithms exist for generating piecewise linear approximations, most of them are based on …
Y Zhang, G Xu, C Bajaj - Computer aided geometric design, 2006 - Elsevier
This paper describes a comprehensive approach to construct quality meshes for implicit solvation models of biomolecular structures starting from atomic resolution data in the …