B-rep SE: Simplicially Enhanced Boundary Representation

Freytag, M.; Shapiro, V.

B-rep SE: Simplicially Enhanced Boundary Representation

Files

157-168_freytag.pdf (3.56 MB)

Date

2004

Authors

Freytag, M.
Shapiro, V.

Publisher

The Eurographics Association

Abstract

Boundary representation (B-rep) is a popular representation scheme for mechanical objects due to its ability to accurately represent piecewise smooth surfaces bounding solids. However, non-trivial topology and geometry of the surface patches hinder point generation, classification, searching, and other algorithms. We propose a new hybrid representation that addresses these shortcomings by imposing on the boundary representation an additional simplicial structure. The simplicial structure applies a triangle-mesh metaphor to the usual boundary representation, allowing access to points on the exact solid boundary or its many approximations. The resulting simplicially enhanced boundary representation (B-rep SE) simplifies and accelerates the usual boundary representation queries. We discuss full implementation of B-rep SE with the Parasolid kernel and demonstrate the advantages of B-rep SE in applications that integrate and visualize arbitrary fields on a solid's boundary.

        @inproceedings{10.2312:sm.20041386
,
booktitle = {Solid Modeling
},
editor = {Gershon Elber and Nicholas Patrikalakis and Pere Brunet
},
title = {{B-rep SE: Simplicially Enhanced Boundary Representation
}},
author = {Freytag, M. and 
Shapiro, V.
},
year = {2004
},
publisher = {The Eurographics Association
},
ISSN = {1811-7783
},
ISBN = {3-905673-55-X
},
DOI = {10.2312/sm.20041386
}
}