Download:
|
by Rob A. Zuidwijk, Paul M. De Zeeuw
SPIE proceedings 3458, Wavelet Applications in Signal and Image Processing VI
http://www.cwi.nl/~pauldz/wvl/spie98.ps.gz
Add To MetaCart
Abstract:
Fast algorithms performing time-scale analysis of multivariate functions are discussed. The algorithms employ univariate wavelets and involve a directional parameter, namely the angle of rotation. Both the rotation steps and the wavelet analysis/synthesis steps in the algorithms require a number of computations proportional to the number of data involved. The rotation and wavelet techniques are used for the segregation of wanted and unwanted components in a seismic signal. As an illustration, the rotation and wavelet methods are applied to a synthetic shot record.
Citations
|
1533
|
A theory for multiresolution signal decomposition: the wavelet representation
– Mallat
- 1989
|
|
1101
|
lectures on wavelets
– Daubechies, Ten
- 1992
|
|
505
|
An Introduction to Wavelets
– Chui
- 1992
|
|
97
|
An Introduction to Nonharmonic Fourier Series
– Young
- 1980
|
|
58
|
Wavelets: an analysis tool
– Holschneider
- 1995
|
|
51
|
A general sampling theory for nonideal acquisition devices
– Unser, Aldroubi
- 1994
|
|
34
|
Approximation power of biorthogonal wavelet expansions
– Unser
- 1996
|
|
24
|
Feauveau, "Biorthogonal bases of compactly supported wavelets
– Cohen, Daubechies, et al.
- 1992
|
|
13
|
Wavelets: Theory and Applications
– Louis, Maaß, et al.
- 1997
|
|
6
|
On invertibility of the windowed Radon transform
– TAKIGUCHI
- 1995
|
|
6
|
A wavelet localized Radon transform
– Warrick, Delaney
- 1995
|
|
5
|
The discrete and continuous wavelet X-ray transform
– Zuidwijk
- 1997
|
|
4
|
Seismic processing using the wavelet and the Radon transform
– Faqi, Kabir, et al.
- 1995
|
|
4
|
Windowed Radon transforms, analytic signals, and the wave equation, Wavelets: A tutorial in theory and applications
– Kaiser, Streater
- 1992
|
|
3
|
Fundamentals of the discrete wavelet transform for seismic data processing, available at: ftp://ftp.mines.colorado.edu/pub/papers/math cs dept/pub93/cwp-130P.ps.Z
– Cohen, Chen
- 1993
|
|
3
|
Wavelets and multiscale signal processing, Chapmann
– Cohen, Ryan
- 1995
|
|
3
|
Numerical methods for decomposition of 2D signals by rotation and wavelet techniques, CWI report PNA-R99xx
– Zeeuw, Zuidwijk
- 1999
|
|
2
|
Quasiorthogonality and quasiprojections
– Unser
- 1996
|
|
2
|
The wavelet X-ray transform", CWI-report PNA-R9703
– Zuidwijk
- 1997
|
|
1
|
Wavelet filtering of tube waves in the Glenn Pool crosswell seismic survey," M.U.S.I.C. Annual report on wavelet application
– Du, Lines
- 1998
|
|
1
|
Zeeuw, "A benchmark problem representing a strongly simplified and synthetic shotrecord", www.cwi.nl/ftp/pauldz/Demos/SimpleSet
– de
|
|
1
|
de Zeeuw, "The fast wavelet X-ray transform," CWI-report PNA-R98xx (in preparation
– Zuidwijk, M
|