? Concise background material for each chapter, open problems, exercises, bibliography, and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions, approximation theory, the spectrum and structure of the fixed points of the associated transfer, subdivision operators; Key topics of wavelet theory are examined; Excellent graphics show how wavelets depend on the spectra of the transfer operators; The important role of the spectrum of a transfer operator is studied; This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory.... bank and the wavelet packets have now turned into a commercial algorithm which is used by the F.B.I. in digitizing, compressing, and storing fingerprints. ... we see that the scaling function p itself may be expanded in the wavelet basis which is defined from wo, and we arrive at the infinite series e(r) = XL2-aquot; ... Infinite sums are analysis problems while a scale operation is a single simple algorithmic step.
|Title||:||Wavelets Through a Looking Glass|
|Author||:||Ola Bratteli, Palle Jorgensen|
|Publisher||:||Springer Science & Business Media - 2013-12-01|