Title
Planar homologies as a basis for grouping and recognition
Abstract
This article discusses a specific class of planar projective transformations, planar homologies, and illustrates their importance for geometry based grouping operations. Indeed, planar homologies keep to pop up in several areas of computer vision. Two examples are given in the article: the analysis of planar shapes and their shadows and the detection of extruded shapes. The parameters that are needed to specify homologies are given, as well as their invariants. Since only 5 parameters are required, these invariants are simpler than general projective invariants. The work therefore further corroborates the existence of grouping-specific invariants.
Year
DOI
Venue
1998
10.1016/S0262-8856(97)00046-2
Image and Vision Computing
Keywords
Field
DocType
Planar homologies,Grouping,Invariants,Projective geometry,Shadows,Extruded shapes
Affine transformation,Algebraic geometry,Projective geometry,Image processing,Artificial intelligence,Projective test,Projective representation,Combinatorics,Pattern recognition,Pure mathematics,Planar,Invariant (mathematics),Mathematics
Journal
Volume
Issue
ISSN
16
1
0262-8856
Citations 
PageRank 
References 
18
1.80
5
Authors
3
Name
Order
Citations
PageRank
Luc Van Gool1275661819.51
Marc Proesmans227734.37
Andrew Zisserman3459983200.71