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The Wavelet Transform
Introduction
The continuous wavelet transform
Examples of Wavelets
Morlet's Wavelet
Mexican Hat
The discrete wavelet transform
Introduction
Multiresolution Analysis
The
à trous
algorithm
Pyramidal Algorithm
The Laplacian Pyramid
Pyramidal Algorithm with one Wavelet
Multiresolution with scaling functions with a frequency cut-off
The Wavelet transform using the Fourier transform
The Reconstruction
Visualization of the Wavelet Transform
Visualisation of the first class
Visualisation of the second class
Visualisation of the third class
Noise reduction from the wavelet transform
The convolution from the continuous wavelet transform
The Wiener-like filtering in the wavelet space
Hierarchical Wiener filtering
Adaptive filtering from the wavelet transform
Hierarchical adaptive filtering
Comparison using a multiresolution quality criterion
Deconvolution
Introduction
Regularization in the wavelet space
Tikhonov's regularization and multiresolution analysis
Regularization from significant structures
Regularization of Van Cittert's algorithm
Regularization of the one-step gradient method
Regularization of Lucy's algorithm
Convergence
The wavelet context in MIDAS
Introduction
Commands Description
TRANSF/WAVE
RECONS/WAVE
HEADER/WAVE
INFO/WAVE
EXTRAC/WAVE
ENTER/WAVE
VISUAL/WAVE
VISUAL/CUB
VISUAL/CONT
VISUAL/SYNT
VISUAL/PLAN
VISUAL/PERS
FILTER/WAVE
COMPAR/WAVE
PLOT/SNR
PLOT/COR
DIRECT/WAVE
CITTERT/WAVE
GRAD/WAVE
LUCY/WAVE
TUTORIAL/WAVE
TRAN1D/WAVE
REC1D/WAVE
Petra Nass
3/23/1999
