Title
Gaussian wavelet transform: two alternative fast implementations for images
Abstract
A series of schemes for pyramid multiresolution image coding has been proposed, all of them based on sets of orthogonal functions. Several of them are implementable in the spatial domain (such as wavelets), whereas others are more suitable for Fourier domain implementation (as for instance the cortex transform). Gabor functions have many important advantages, allowing easy and fast implementations in either domain, but are usually discarded by their lack of orthogonality which causes incomplete transforms. In this paper we quantify such effect, showing a Gaussian Wavelet Transform, GWT, with quasiorthogonal Gabor functions, which allows robust and efficient coding. Our particular GWT is based on a human visual model. Its incompleteness causes small amounts of reconstruction errors (due to small indentations in the MTF), which, however, are irrelevant under criteria based on visual perception.
Year
DOI
Venue
1991
10.1007/BF01937176
Multidimensional Systems and Signal Processing
Keywords
Field
DocType
Gaussian wavelets,Gabor functions,image coding,completeness,space and frequency domains implementations
Discrete mathematics,Mathematical optimization,Harmonic wavelet transform,Gabor wavelet,Fast wavelet transform,Second-generation wavelet transform,Discrete wavelet transform,S transform,Gabor transform,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
2
4
0923-6082
Citations 
PageRank 
References 
10
1.91
6
Authors
2
Name
Order
Citations
PageRank
Rafael Navarro113917.59
antonio tabernero28611.45