A condition for isotopic approximation

Authors:
Frédéric Chazal;David Cohen-Steiner
Affiliations:
Institut de Mathématiques de Bourgogne, Dijon, France;Computer Science Department, Duke University, NC
Venue:
Graphical Models - Solid modeling theory and applications
Year:
2005

Citing 3
Cited 2

Topological and geometric properties of interval solid models

Graphical Models
Ambient isotopic approximations for surface reconstruction and interval solids

SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Computational topology: ambient isotopic approximation of 2-manifolds

Theoretical Computer Science - Topology in computer science

Projection-homeomorphic surfaces

Proceedings of the 2005 ACM symposium on Solid and physical modeling
Geometric tomography with topological guarantees

Proceedings of the twenty-sixth annual symposium on Computational geometry

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we give a very simple and purely topological condition tor two surfaces to be isotopic. This work is motivated by the problem of surface approximation. Applications to implicit surfaces are given, as well as connections with the well-known concepts of skeleton and local feature size.