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Recursive implementation of 1D and 2D Gabor filtering. A recursive
algorithm for the Gabor filter that achieves—to within a
multiplicative constant—the fastest possible implementation. For a
signal consisting of N samples, our implementation requires O(N)
multiply-and-add (MADD) operations. Further, the complexity is
independent of the values of s and w in the Gabor kernel and
coefficients of the recursive equation have a simple, closed-form
solution given s and w. Gabor filters bear some similarity to
Fourier filters, but (by the Gaussian damping terms) are limited to
certain frequency bands ("passband filter"). With a judicious choice
of frequencies, e.g. by octaves (viz. by successive factors of 2), a
succession of Gabor filters can be assimilated to a wavelet
transform, and do an excellent job in image or information
compaction. Gabor filters are used mostly in shape detection and
feature extraction in image processing.
Index Terms: Gabor filter, recursive filtering, kernel, gaussian envelope.
Figure 1. 1D Gabor filter in spatial and frequency domains. |
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A simple and effective source code for 1D and 2D Recursive Gabor Filtering. |
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Demo code (protected
P-files) available for performance evaluation. Matlab Image Processing Toolbox is required. |
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Release |
Date |
Major features |
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1.0 |
2007.02.13 |
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We recommend to check the secure connection to PayPal, in order to avoid any fraud. This donation has to be considered an encouragement to improve the code itself. |
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Recursive Gabor Filtering 1.0 - Click here for
your donation. In order to obtain the source code you
have to pay a little sum of money: 50 EUROS (less
than 70 U.S. Dollars). |
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Once you have done this, please email us luigi.rosa@tiscali.it As soon as possible (in a few days) you will receive our new release of Recursive Gabor Filtering. Alternatively, you can bestow using our banking coordinates:
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The authors have no relationship or partnership
with The Mathworks. All the code provided is written in Matlab
language (M-files and/or M-functions), with no dll or other
protected parts of code (P-files or executables). The code was
developed with Matlab 14 SP1. Matlab Image Processing Toolbox is required.
The code provided has to be considered "as is" and it is without any kind of warranty. The
authors deny any kind of warranty concerning the code as well
as any kind of responsibility for problems and damages which may
be caused by the use of the code itself including all parts of
the source code.