Surface Tiling with Differential Topology

Edelsbrunner, Herbert

Surface Tiling with Differential Topology

Files

009-011.pdf (1.04 MB)

Date

2005

Authors

Edelsbrunner, Herbert

Publisher

The Eurographics Association

Abstract

A challenging problem in computer-aided geometric design is the decomposition of a surface into four-sided regions that are then represented by NURBS patches. There are various approaches published in the literature and implemented as commercially available software, but all fall short in either automation or quality of the result. At Raindrop Geomagic, we have recently taken a fresh approach based on concepts from Morse theory. This by itself is not a new idea, but we have some novel ingredients that make this work, one being a rational notion of hierarchy that guides the construction of a simplified decomposition sensitive to only the major critical points.

        @inproceedings{:10.2312/SGP/SGP05/009-011
,
booktitle = {Eurographics Symposium on Geometry Processing 2005
},
editor = {Mathieu Desbrun and Helmut Pottmann
},
title = {{Surface Tiling with Differential Topology
}},
author = {Edelsbrunner, Herbert
},
year = {2005
},
publisher = {The Eurographics Association
},
ISSN = {1727-8384
},
ISBN = {3-905673-24-X
},
DOI = {/10.2312/SGP/SGP05/009-011
}
}