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> Volume 5, Issue 10
Question: I) smoothing on the interval / II) an integral

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Christian Oehreneder (coehrene@geoinfo.tuwien.ac.at) Guest

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




#22 Question: I) smoothing on the interval / II) an integral
Dear waveletcolleagues!
I need help on tow waveletrelated 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 LiftingScheme, but I
want to test others too. What kind of solutions do exist on this
problem? Has anybody got computercode, so that I can try it on my
problem?
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 588013730
Gusshausstrasse 2729 FAX: +43 1 5056268
A1040 Wien Email: coehrene@fbgeo1.tuwien.ac.at
AUSTRIA
[Answer] 





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