Wavelets and their ApplicationsMichel Misiti, Yves Misiti, Georges Oppenheim, Jean-Michel Poggi The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression. |
Contents
A Guided Tour | lxviii |
Finding and Designing a Wavelet | 4-21 |
Mathematical Framework | 6-2 |
A Short 1D Illustrated Handbook | 6-6 |
Signal Denoising and Compression | 6-29 |
Image Processing with Wavelets | 8-47 |
Appendix The EZW Algorithm | 8-74 |
Other editions - View all
Wavelets and their Applications Michel Misiti,Yves Misiti,Georges Oppenheim,Jean-Michel Poggi No preview available - 2007 |
Common terms and phrases
adapted wavelet admissibility condition Analyzed signal Analyzing wavelet applications approximation and detail approximation coefficients associated filters basis biorthogonal wavelets calculation Chapter coding coefficients coiflets compact support components compression consists construction of wavelets continuous analysis continuous wavelet transform corresponding Daubechies wavelets decompose defined denoised signal detail coefficients detection discontinuities discrete discrete wavelet transform dual lifting energy estimate example filter filter bank finite finite impulse response Fourier transform frequency Gaussian graph Haar wavelet infinite number inverse Laurent polynomial Let us note lifting steps linear matrix method Morlet wavelet multi-resolution analysis obtained original image orthogonal orthonormal base pairs scaling function perfect reconstruction polynomial polyphase possible present properties quadruplet quantization reconstruction filter representation represented in Figure result sequence sine space synthesis technique theorem thresholding translation wavelet analysis wavelet bases wavelet coefficients wavelet decomposition wavelet families wavelet packets wavelet transform white noise z-transforms zones