The proceedings contain 39 papers. The topics discussed include: adapted waveform analysis, wavelet packets, and local cosine libraries as a tool for imageprocessing;irregular periodic sampling of images and their de...
The proceedings contain 39 papers. The topics discussed include: adapted waveform analysis, wavelet packets, and local cosine libraries as a tool for imageprocessing;irregular periodic sampling of images and their derivatives;extension of the karhunen-loeve transform for wavelets and perfect reconstruction filterbanks;multiscale method for tomographic reconstruction;fast updating in MRI via multiscale localization;local inversion of the radon transform in the plane using wavelets;edge localization in images by symmetrical wavelet transforms;recognition of 2D objects from the wavelet transform zero-crossing representation;selecting the projection functions used in an iterative Gabor expansion;multiresolution image registration procedure using spline pyramids;and hybrid technique using spline-wavelet packets and vector quantization for high-rate image compression.
This book provides a practical guide, complete with accompanying Matlab software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and im...
ISBN:
(纸本)9783319921228
This book provides a practical guide, complete with accompanying Matlab software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and imageprocessingapplications. In self-contained form, it briefly outlines a broad range of polynomial and discrete splines with equidistant nodes and their signal-processing-relevant properties. In particular, interpolating, smoothing, and shift-orthogonal splines are presented.
This book presents various contributions of splines to signal and imageprocessing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines, which were prese...
ISBN:
(纸本)9783319223025
This book presents various contributions of splines to signal and imageprocessing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines, which were presented in the first volume, to non-periodic splines. Together, these books provide a universal toolbox accompanied by MATLAB software for manipulating polynomial and discrete splines, spline-based wavelets, wavelet packets and wavelet frames for signal/ imageprocessingapplications. In this volume, we see that the ZT provides an integral representation of discrete and polynomial splines, which, to some extent, is similar to Fourier integral. The authors explore elements of spline theory and design, and consider different types of polynomial and discrete splines. They describe applications of spline-based wavelets to data compression. These splines are useful for real-time signalprocessing and, in particular, real-time wavelet and frame transforms. Further topics addressed in this volume include: "global" splines, such as interpolating, self-dual and smoothing, whose supports are infinite; the compactly supported quasi-interpolating and smoothing splines including quasi-interpolating splines on non-uniform grids; and cubic Hermite splines as a source for the design of multiwavelets and multiwavelet frames. Readers from various disciplines including engineering, computer science and mathematical information technology will find the descriptions of algorithms, applications and software in this book especially useful.
This volume provides universal methodologies accompanied by Matlab software to manipulate numerous signal and imageprocessingapplications. It is done with discreteand polynomial periodic splines. Various contributio...
ISBN:
(纸本)9789402405620
This volume provides universal methodologies accompanied by Matlab software to manipulate numerous signal and imageprocessingapplications. It is done with discreteand polynomial periodic splines. Various contributions of splines to signal and imageprocessing from a unified perspective are presented. This presentation is based on Zak transform and on Spline Harmonic Analysis (SHA) methodology. SHA combines approximation capabilities of splines with the computational efficiency of the Fast Fourier transform. SHA reduces the designof different spline types such as splines, spline wavelets (SW), wavelet frames (SWF)and wavelet packets (SWP)and their manipulations by simple operations. Digital filters, produced by wavelets design process, give birth to subdivision schemes. Subdivision schemes enable to performfast explicit computation of splines' values at dyadic and triadic rational points. This is used for signals and imagesup sampling. In addition tothe design of a diverse library of splines, SW, SWP and SWF, this book describes their applications topractical problems. The applications include up sampling, image denoising, recovery from blurred images, hydro-acoustic target detection, to name a few. The SW Fare utilized for image restoration that was degraded by noise, blurring and loss of significant number of pixels. The bookis accompanied by Matlab based software that demonstrates and implements all the presented algorithms. The book combines extensive theoretical exposurewith detailed description of algorithms, applications and software. The Matlab software can be downloaded from http://***
Twenty five years after the seminal work of Jean Morlet, the wavelet transform, multiresolution analysis, and other space-frequency or space-scale approaches are considered standard tools by researchers in image proce...
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Twenty five years after the seminal work of Jean Morlet, the wavelet transform, multiresolution analysis, and other space-frequency or space-scale approaches are considered standard tools by researchers in imageprocessing. Many applications that point out the interest of these techniques have been proposed. We review the recent published work dealing with industrial applications of the wavelet and, more generally speaking, multiresolution analysis. We present more than 190 recent papers. (C) 2008 SPIE and IS&T [DOI: 10.1117/1.2957606]
This paper presents an overview of the suitability of the polynomial spline wavelet transform to qualify as an elegant tool for multiresolution signal decomposition. The paper also reviews the effectiveness of the pol...
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This paper presents an overview of the suitability of the polynomial spline wavelet transform to qualify as an elegant tool for multiresolution signal decomposition. The paper also reviews the effectiveness of the polynomial spline function that has maintained its leadership among its dan having wide applications in different areas ranging from the field of function approximation to computer vision. Construction of different scaling functions and their properties are shown. Polynomial spline wavelets and their characteristics are also shown. We have introduced the special cases of generalised spline wavelets. The distinctive features of these various representations are discussed with respect to the multiresolution signal decomposition. The main thrust is to emphasize a signal and imageprocessing point of view which should make these techniques more attractive for mathematicians and signal processors.
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