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   -> Volume 5, Issue 10

Question: I) smoothing on the interval / II) an integral
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Christian Oehreneder (

PostPosted: Wed Nov 13, 1996 10:12 am    
Subject: Question: I) smoothing on the interval / II) an integral
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#22 Question: I) smoothing on the interval / II) an integral

Dear wavelet-colleagues!

I need help on tow wavelet-related problems.

I) I need an efficient smoothing algorithm for functions defined on an
interval in R or R^2. One but not the only way would be a wavelet
basis for those domains. So far I have used the Lifting-Scheme, but I
want to test others too. What kind of solutions do exist on this
problem? Has anybody got computer-code, so that I can try it on my

II) I need to efficiently solve Intergrals of the following type

Int( f * b_i * b_j ) over some (nonperiodic) domain. i and j arbitrary
(same or different).

f is an arbitrary function. b_i is a collection of (not necessarily
orthogonal) time/frequency localized building blocks (e.g. a set of
translated scaling functions or anything else).

Obviously there is a simple solution in using the well known fast
transforms on f* b_j . However I am looking for something that is more
tailored to this problem.

Thanks for any help!

Christian Oehreneder

Institute for Photogrammetry and Remote Sensing
Technical University Vienna

TU Wien, Institut 122 Tel.: +43 1 58801-3730
Gusshausstrasse 27-29 FAX: +43 1 5056268
A-1040 Wien Email:

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