|Experiment the fractional spline wavelets on your images with the plug-in of the public-domain software ImageJ.|
|Installation: First, you have to get a copy of ImageJ at the download page of ImageJ web site. Next, you place the unzipped version of our software in the plugins folder of ImageJ. The whole process should not take more than a couple of minutes. ImageJ runs on several plateforms: Unix, Linux, Windows, Mac OS 9 and Mac OS X.|
Important note: You are free to use this software for research purposes, but you should not redistribute it without our consent. In addition, we expect you to include adequate citations and acknowledgments whenever you present or publish results that are based on it.
M. Unser, T. Blu, "Fractional Splines and Wavelets," SIAM Review, vol. 42, no. 1, pp. 43-67, March 2000.
T. Blu, M. Unser, "The Fractional Spline Wavelet Transform: Definition and Implementation," Proceedings of the Twenty-Fifth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'00), Istanbul, Turkey, June 5-9, 2000, vol. I, pp. 512-515.
T. Blu, M. Unser, "A Complete Family of Scaling Functions: The (α, τ)-Fractional Splines," Proceedings of the Twenty-Eighth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'03), Hong Kong SAR, People's Republic of China, April 6-10, 2003, in press.
|Authors: This plug-in was implemented by Gil Gaillard, Daniel Sage, Dimitri Van De Ville and Emilio Casanova.|
Open an image or image sequence
The Wavelet Module plug-in for ImageJ works both with images 2D and with and image stacks.
Functioning of the Wavelet Module 3D plug-in
When the image dimensions are not powers of two, an "Image size control" window allows you to crop or extend the original image dimensions. If the size is not a power of two, the algorithm still works but the processing will be very slow.
Step 1 - Discrete Wavelet Transform: Analysis side
The complete family of (bi)-orthogonal spline wavelets with fractional degree (α) and arbitrary shift (τ) is available in this plug-in
To explore the family of wavelets and scaling functions available, we refer to the Wavelet Transform plug-in.
Step 2 - Processing
To show some example of typical processing performed in the wavelet domain, we have included several 3D versions of popular algorithms:
Step 3 - Inverse Discrete Wavelet Transform: Synthesis side
The final step reconstructs the (processed) image or image sequence using the same settings as the analysis side
Adding functionality to the 3D Wavelet Module
You can program your own processing algorithm (that will be executed when you select "Your processing here" in the dialog box) by modifying and compiling the source file CoefProcessing.java. More details can be found in this file.