Title
Fourier analysis and cortical architectures: the exponential chirp transform
Abstract
The use of visual representations in which pixel-size and local neighbor- hood topology are not constant is termed space-variant vision. This is the dominant visual architecture in all higher vertebrate visual systems, and is coming to play an important role in real-time active vision applications in the form of log-polar, foveating pyramid, and related approaches to machine vision. The breaking of translation symmetry that is unavoidably associated with space-variant vision presents a major algorithmic complication for im- age processing. In this paper we use a Lie group approach to derive a kernel which provides a generalization of the Fourier Transform that provides a quasi-shift invariant template matching capability in the distorted (range) coordinates of the space-variant mapping. We work out the special case of the log-polar mapping, which is the principle space-variant mapping in use; in this case, we call the associated integral transform the ìexponential chirp
Year
DOI
Venue
1997
10.1006/rtim.1996.0054
Real-Time Imaging
Keywords
Field
DocType
fourier analysis,cortical architecture,lie group,fourier transform,integral transforms,machine vision,template matching,shift invariant,real time,visual system,active vision
Computer vision,Active vision,Fourier analysis,Invariant (physics),Computer science,Image processing,Fourier transform,Invariant (mathematics),Artificial intelligence,Matched filter,Integral transform
Journal
Volume
Issue
ISSN
3
3
Real-Time Imaging
Citations 
PageRank 
References 
3
1.00
7
Authors
2
Name
Order
Citations
PageRank
Giorgio Bonmassar115933.51
E L Schwartz256378.66