Article

A concise b-rep data structure for stratified subanalytic objects

Author:

Abel J. P. GomesAuthors Info & Claims

SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing

Pages 83 - 93

Published: 23 June 2003 Publication History

Abstract

Current geometric kernels suffer from poor abstraction and design of their data structures. In part, this is due to the lack of a general mathematical framework for geometric modelling and processing. As a result, there is a proliferation of ad hoc solutions, say external data structures, whenever new problems arise in industry, causing serious difficulties in software maintenance. This paper proposes such a framework based on subanalytic geometry and theory of stratifications, as well as a concise data structure for it, called DiX (Data in Xtratus). Basically, this is a non-manifold b-rep (boundary representation) data structure without oriented cells (e.g. half-edges, coedges or so). Thus, it is more concise than the traditional b-rep data structures provided that no oriented cells (e.g. half-edges, half-faces, etc.) are used at all. Nevertheless, all the adjacency and incidence data we need is retrieved by a single operator, called mask operator. Besides, the DiX data structure includes shape descriptors, as generalizations of loops and shells, to support shape reasoning as needed in the design and implementation of shape operators such as, for example, Euler operators.

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Cited By

Shewchuk J(2008)General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, IDiscrete & Computational Geometry10.5555/3116660.311701539:1-3(580-637)Online publication date: 1-Mar-2008
https://dl.acm.org/doi/10.5555/3116660.3117015
Silva FGomes A(2005)Oversimplified euler operators for a non-oriented, non-manifold b-rep data structureProceedings of the First international conference on Advances in Visual Computing10.1007/11595755_4(25-34)Online publication date: 5-Dec-2005
https://dl.acm.org/doi/10.1007/11595755_4
Gomes AElber GPatrikalakis NBrunet P(2004)Euler operators for stratified objects with incomplete boundariesProceedings of the ninth ACM symposium on Solid modeling and applications10.5555/1217875.1217925(315-320)Online publication date: 9-Jun-2004
https://dl.acm.org/doi/10.5555/1217875.1217925

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A concise b-rep data structure for stratified subanalytic objects

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Information

Published In

cover image ACM Other conferences

SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing

June 2003

277 pages

ISBN:1581136870

Conference Chairs:
Leif Kobbelt
Aachen University (RWTH)
,
Peter Schr�der
Caltech
,
Hugues Hoppe
Microsoft Research

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EUROGRAPHICS: The European Association for Computer Graphics

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SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

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Eurographics Association

Goslar, Germany

Publication History

Published: 23 June 2003

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SGP03

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EUROGRAPHICS

SGP03: Symposium on Geometry Processing

June 23 - 25, 2003

Aachen, Germany

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Overall Acceptance Rate 64 of 240 submissions, 27%

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Cited By

Shewchuk J(2008)General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, IDiscrete & Computational Geometry10.5555/3116660.311701539:1-3(580-637)Online publication date: 1-Mar-2008
https://dl.acm.org/doi/10.5555/3116660.3117015
Silva FGomes A(2005)Oversimplified euler operators for a non-oriented, non-manifold b-rep data structureProceedings of the First international conference on Advances in Visual Computing10.1007/11595755_4(25-34)Online publication date: 5-Dec-2005
https://dl.acm.org/doi/10.1007/11595755_4
Gomes AElber GPatrikalakis NBrunet P(2004)Euler operators for stratified objects with incomplete boundariesProceedings of the ninth ACM symposium on Solid modeling and applications10.5555/1217875.1217925(315-320)Online publication date: 9-Jun-2004
https://dl.acm.org/doi/10.5555/1217875.1217925

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