B-rep SE: Simplicially Enhanced Boundary Representation

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Date
2004
Journal Title
Journal ISSN
Volume Title
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.
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@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
} }
Citation