Conference proceeding
Topological and Geometric Consistency in Boundary Representations of Solid Models
16th Design Automation Conference: Volume 1 — Computer Aided and Computational Design, v 1, pp 59-66
16 Sep 1990
Abstract
This paper describes a method of verifying the consistency between the topology and geometry of boundary representation (B-rep) of solid models. This verification is well suited for implementation as an algorithm and has been implemented as such in a polyhedral boundary representation solid modeling system (Jablokow 1989). Information regarding boundary representations is typically divided into the geometry and topology. It is important that the two are consistent for a valid solid model. In this work the genus of an object is calculated topologically and geometrically and then compared to verify the consistency of the solid model. The genus of an object gives insight as to the geometric complexity of the object. This is equivalent to verifying the Gauss-Bonnet Theorem for the model, and is discussed in the paper.
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Details
- Title
- Topological and Geometric Consistency in Boundary Representations of Solid Models
- Creators
- Andrei G Jablokow - Pennsylvania State UniversityJ. J Uicker - University of Wisconsin–MadisonD. A Turcic - University of Wisconsin–Madison
- Publication Details
- 16th Design Automation Conference: Volume 1 — Computer Aided and Computational Design, v 1, pp 59-66
- Conference
- 16th Design Automation Conference: Volume 1 — Computer Aided and Computational Design, 16th (Chicago, Illinois, United States, 16 Sep 1990–19 Sep 1990)
- Series
- ASME 1990 Design Technical Conferences
- Publisher
- ASME
- Number of pages
- 8
- Resource Type
- Conference proceeding
- Academic Unit
- Mechanical Engineering and Mechanics
- Scopus ID
- 2-s2.0-85104874776
- Other Identifier
- 991020637013304721