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The Wavelet Digest
   -> Volume 5, Issue 3

Web: Wavelet Cascade Applet (Java)
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Wim Sweldens (

PostPosted: Wed Dec 04, 2002 9:51 am    
Subject: Web: Wavelet Cascade Applet (Java)
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Web: Wavelet Cascade Applet (Java)

You might have heard about Java, the new object-oriented computer
language for Web programming. Java allows you to write ``Applets"
which are small program that run inside Web pages. I have written a
Java applet which allows you to interactively graph all possible
wavelets and scaling functions with four terms in the refinement
relation. By simply moving your mouse inside the parameter space
you can see the shape of the wavelet smoothly change from Haar to
Linear to spline to D4. All graphs are computed with the cascade
(or subdivision) algorithm. Operating instructions and some
mathematical background are provided.

In order to run the applet, you need version 2.0 or higher of
Netscape. Then simply point your browser to

Note that it might take some time to download the Java classes.

Please feel free to contact me with comments, suggestions, or
bug-reports. I only ran the program on my machine (SGI), but
one of the nice feature of Java is that it runs on all architectures.
If this is not the case, please let me know.

Also, I would like to encourage other people working on wavelet
related applets to send them in to the Wavelet Digest. I will
build a Web page with the pointers to the different submissions.

Wim Sweldens

ps: The Netscape navigator can be downloaded from
More information about Java can be found at

pps: The rendering the mathematical symbols inside the Web page
on the mathematical background is an other example of an applet.
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