Advances in Signal Transforms: Theory and Applications. Eurasip Book Series on Signal Processing and Communications, Volume 7. (Electronic book text)

Advances in Signal Transforms: Theory and Applications Digitalsignal transforms are of a fundamental value in digital signal andimage processing. Their role is manifold. Transforms selectedappropriately enable substantial compressing signals and imagesfor storage and transmission. No signal recovery, imagereconstruction and restoration task can be efficiently solvedwithout using digital signal transforms. Transforms aresuccessfully used for logic design and digital data encryption.Fast transforms are the main tools for acceleration ofcomputations in digital signal and image processing. The volumecollects in one book most recent developments in the theory andpractice of the design and usage of transforms in digital signaland image processing. It emerged from the series of reportspublished by Tampere International Centre for Signal Processing, Tampere University of Technology. For the volume, allcontributions are appropriately updated to represent the state ofthe art in the field and to cover the most recent developments indifferent aspects of the theory and applications of transforms.The book consists of two parts that represent two major directionsin the field: development of new transforms and development oftransform based signal and image processing algorithms. The firstpart contains four chapters devoted to recent advances intransforms for image compression and switching and logic designand to new fast transforms for digital holography and tomography.In the second part, advanced transform based signal and imagealgorithms are considered: signal and image local adaptiverestoration methods and two complementing families of signal andimage re-sampling algorithms, fast transform based discretesinc-interpolation and spline theory based ones