Paper Info
Title
Boundary Representation Models: Validity and Rectification
Abstract
Model validity, especially of manifold boundary representation (B-rep) models, has long been recognized as an important problem. This paper reviews issues on model validity of existing models. In particular, we present a set of sufficient conditions for representational validity of a typical B-rep data structure; we propose a rectify-by-reconstruction approach to the B-rep model rectification problem, and present results on the inherent complexity of the corresponding boundary reconstruction problem. Further, we develop the concept of an interval solid model, associated with a solid, for achieving numerical robustness. Finally, we present a set of sufficient conditions so that an interval solid model is "approximately equal" to its associated solid.
Year
DOI
Venue
2000
10.1007/978-1-4471-0495-7_23
IMA Conference on the Mathematics of Surfaces
Keywords
Field
DocType
boundary representation models,model validation,boundary representation
Applied mathematics,Boundary representation,Data structure,Rectification,Reconstruction problem,Topological information,Computer science,Robustness (computer science),Interval arithmetic,Manifold
Conference
ISBN
Citations 
PageRank 
1-85233-358-8
2
0.41
References 
Authors
22
3
Name
Order
Citations
PageRank
Nicholas M. Patrikalakis181371.51
Takis Sakkalis234734.52
Guoling Shen3483.94