Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
440490 | Computer-Aided Design | 2006 | 11 Pages |
Abstract
Two major approaches to defining the semantics of inaccurate boundary representations have been proposed in the literature. They are referred to here as single-set semantics, and class-of-sets semantics, respectively. Our description of the distinction between these two approaches focuses on the nature of the topological regularity on which they are based (classical regularity vs. ϵϵ-regularity).It is shown in this note that both approaches may be useful, depending on what information is available. As an illustrative example, an elementary result is given, for a point-membership-classification algorithm, that is sufficiently general to be of practical interest but sufficiently special to be transparent.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Jianchang Qi, Vadim Shapiro, Neil F. Stewart,