Title
Towards A Topology For Computational Geometry
Abstract
The paper examines the implications for topology of implementing geometrical algorithms in a floating point number system. It uses fuzzy logic to define a discriminator function which can then be used in point classification, the classification itself being defined in terms of the logic of partial functions. This is then applied to the problem of a triple line intersection, and is used to validate the results of such an intersection and indicate how an invalid geometry can be perturbed to give a valid geometry.
Year
DOI
Venue
1995
10.1016/0010-4485(95)91141-7
COMPUTER-AIDED DESIGN
Keywords
Field
DocType
TOPOLOGY, COMPUTATIONAL GEOMETRY, FUZZY LOGIC
Topology,Discriminator,Line–line intersection,Floating point,Computational geometry,Fuzzy logic,Algorithm,Intersection,Mathematics,Partial function,Computational topology
Journal
Volume
Issue
ISSN
27
4
0010-4485
Citations 
PageRank 
References 
3
0.55
0
Authors
1
Name
Order
Citations
PageRank
Sean Michael Barker130.55