Maximum-Likelihood Deconvolution

Maximum-Likelihood Deconvolution

Author: Jerry M. Mendel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 233

ISBN-13: 1461233704

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Convolution is the most important operation that describes the behavior of a linear time-invariant dynamical system. Deconvolution is the unraveling of convolution. It is the inverse problem of generating the system's input from knowledge about the system's output and dynamics. Deconvolution requires a careful balancing of bandwidth and signal-to-noise ratio effects. Maximum-likelihood deconvolution (MLD) is a design procedure that handles both effects. It draws upon ideas from Maximum Likelihood, when unknown parameters are random. It leads to linear and nonlinear signal processors that provide high-resolution estimates of a system's input. All aspects of MLD are described, from first principles in this book. The purpose of this volume is to explain MLD as simply as possible. To do this, the entire theory of MLD is presented in terms of a convolutional signal generating model and some relatively simple ideas from optimization theory. Earlier approaches to MLD, which are couched in the language of state-variable models and estimation theory, are unnecessary to understand the essence of MLD. MLD is a model-based signal processing procedure, because it is based on a signal model, namely the convolutional model. The book focuses on three aspects of MLD: (1) specification of a probability model for the system's measured output; (2) determination of an appropriate likelihood function; and (3) maximization of that likelihood function. Many practical algorithms are obtained. Computational aspects of MLD are described in great detail. Extensive simulations are provided, including real data applications.


Information Bounds and Nonparametric Maximum Likelihood Estimation

Information Bounds and Nonparametric Maximum Likelihood Estimation

Author: P. Groeneboom

Publisher: Springer Science & Business Media

Published: 1992-07-31

Total Pages: 140

ISBN-13: 9783764327941

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This book contains the lecture notes for a DMV course presented by the authors at Gunzburg, Germany, in September, 1990. In the course we sketched the theory of information bounds for non parametric and semiparametric models, and developed the theory of non parametric maximum likelihood estimation in several particular inverse problems: interval censoring and deconvolution models. Part I, based on Jon Wellner's lectures, gives a brief sketch of information lower bound theory: Hajek's convolution theorem and extensions, useful minimax bounds for parametric problems due to Ibragimov and Has'minskii, and a recent result characterizing differentiable functionals due to van der Vaart (1991). The differentiability theorem is illustrated with the examples of interval censoring and deconvolution (which are pursued from the estimation perspective in part II). The differentiability theorem gives a way of clearly distinguishing situations in which 1 2 the parameter of interest can be estimated at rate n / and situations in which this is not the case. However it says nothing about which rates to expect when the functional is not differentiable. Even the casual reader will notice that several models are introduced, but not pursued in any detail; many problems remain. Part II, based on Piet Groeneboom's lectures, focuses on non parametric maximum likelihood estimates (NPMLE's) for certain inverse problems. The first chapter deals with the interval censoring problem.


Optimal Seismic Deconvolution

Optimal Seismic Deconvolution

Author: Jerry M. Mendel

Publisher: Elsevier

Published: 2013-09-03

Total Pages: 269

ISBN-13: 148325819X

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Optimal Seismic Deconvolution: An Estimation-Based Approach presents an approach to the problem of seismic deconvolution. It is meant for two different audiences: practitioners of recursive estimation theory and geophysical signal processors. The book opens with a chapter on elements of minimum-variance estimation that are essential for all later developments. Included is a derivation of the Kaiman filter and discussions of prediction and smoothing. Separate chapters follow on minimum-variance deconvolution; maximum-likelihood and maximum a posteriori estimation methods; the philosophy of maximum-likelihood deconvolution (MLD); and two detection procedures for determining the location parameters in the input sequence product model. Subsequent chapters deal with the problem of estimating the parameters of the source wavelet when everything else is assumed known a priori; estimation of statistical parameters when the source wavelet is known a priori; and a different block component method for simultaneously estimating all wavelet and statistical parameters, detecting input signal occurrence times, and deconvolving a seismic signal. The final chapter shows how to incorporate the simplest of all models—the normal incidence model—into the maximum-likelihood deconvolution procedure.


Blind Image Deconvolution

Blind Image Deconvolution

Author: Patrizio Campisi

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 474

ISBN-13: 1420007297

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Blind image deconvolution is constantly receiving increasing attention from the academic as well the industrial world due to both its theoretical and practical implications. The field of blind image deconvolution has several applications in different areas such as image restoration, microscopy, medical imaging, biological imaging, remote sensing, astronomy, nondestructive testing, geophysical prospecting, and many others. Blind Image Deconvolution: Theory and Applications surveys the current state of research and practice as presented by the most recognized experts in the field, thus filling a gap in the available literature on blind image deconvolution. Explore the gamut of blind image deconvolution approaches and algorithms that currently exist and follow the current research trends into the future. This comprehensive treatise discusses Bayesian techniques, single- and multi-channel methods, adaptive and multi-frame techniques, and a host of applications to multimedia processing, astronomy, remote sensing imagery, and medical and biological imaging at the whole-body, small-part, and cellular levels. Everything you need to step into this dynamic field is at your fingertips in this unique, self-contained masterwork. For image enhancement and restoration without a priori information, turn to Blind Image Deconvolution: Theory and Applications for the knowledge and techniques you need to tackle real-world problems.


Introduction to Seismic Inversion Methods

Introduction to Seismic Inversion Methods

Author: Brian H. Russell

Publisher: SEG Books

Published: 1988

Total Pages: 177

ISBN-13: 0931830656

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An overview of the current techniques used in the inversion of seismic data is provided. Inversion is defined as mapping the physical structure and properties of the subsurface of the earth using measurements made on the surface, creating a model of the earth using seismic data as input.


Biomedical Applications of Synchrotron Infrared Microspectroscopy

Biomedical Applications of Synchrotron Infrared Microspectroscopy

Author: David Moss

Publisher: Royal Society of Chemistry

Published: 2010-12-15

Total Pages: 397

ISBN-13: 1849731993

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Publication of a multi-author textbook on the biomedical applications of synchrotron infrared microspectroscopy was a central element in the workplan of the EU project DASIM (Diagnostic Applications of Synchrotron Infrared Microspectroscopy). The project involved nearly 70 scientists and clinicians from 9 European countries, including all synchrotron facilities that have or are planning an infrared beamline. Together with its international associates from the USA, Canada and Australia, the project brought together essentially all recognized experts in the field. The project aims were to coordinate international research effort and to disseminate the relevant information amongst biological researchers and health care professionals and this multi-author textbook was conceived as the most important measure towards the aim of dissemination. The field of biomedical applications of synchrotron IR microspectroscopy, which has recently seen unprecedented growth, is extremely interdisciplinary, involving synchrotron physicists, spectroscopists, biologists and clinicians, with associated difficulties in getting these experts to understand each other. This multi-author book, from leading world experts, presents all aspects of the field in language that all the disparate experts involved can understand. It demystifies the subject both for clinicians and biologists who find synchrotron physics difficult to understand and for physicists who find medical/biological terminology incomprehensible. The book focuses specifically on biomedical IR spectroscopy using synchrotron light sources with particular emphasis on understandable presentation of necessary background knowledge, digestible summaries of research progress and above all as a practical 'how to do it' guide for those working in or wishing to enter the field of biomedical synchrotron IR microspectroscopy and imaging. Key features of the book include:- * a 'Fundamentals' section, explaining the basics of synchrotrons and FTIR spectroscopy as well as the needs of clinicians and biologists with respect to these technologies * a 'Technical Aspects' section, going into depth on optical issues, sample preparation and study design/data analysis * case studies bringing together these 2 elements through practical examples * Raman microspectroscopy, as an alternative approach, is explored in depth * the foreword is written by Henry Mantsch and Gwynn Williams, the two undisputed experts in the fields of biomedical FTIR spectroscopy and synchrotron IR microspectroscopy respectively


High Content Screening

High Content Screening

Author: Steven A. Haney

Publisher: John Wiley & Sons

Published: 2008-01-18

Total Pages: 424

ISBN-13: 9780470229859

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The authoritative reference on High Content Screening (HCS) in biological and pharmaceutical research, this guide covers: the basics of HCS: examples of HCS used in biological applications and early drug discovery, emphasizing oncology and neuroscience; the use of HCS across the drug development pipeline; and data management, data analysis, and systems biology, with guidelines for using large datasets. With an accompanying CD-ROM, this is the premier reference on HCS for researchers, lab managers, and graduate students.


Neuroanatomical Tract-Tracing

Neuroanatomical Tract-Tracing

Author: Laszlo Zaborszky

Publisher: Springer Science & Business Media

Published: 2006-11-22

Total Pages: 703

ISBN-13: 0387289429

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The first two editions of this title had a tremendous impact in neuroscience. Between the Second edition in 1989 and today, there has been an explosion of information in the field, including advances in molecular techniques, such as genomics and proteomics, which have become increasing important in neuroscience. A renaissance in fluorescence has occurred, driven by the development of new probes, new microscopes, live imagers, and computer processing. The introduction of new markers has enormously stimulated the field, moving it from tissue culture to neurophysiology to functional MRI techniques.


Information Processing in Medical Imaging

Information Processing in Medical Imaging

Author: James Duncan

Publisher: Springer Science & Business Media

Published: 1997-05-21

Total Pages: 580

ISBN-13: 9783540630463

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This book constitutes the refereed proceedings of the 15th International Conference on Information Processing in Medical Imaging, IPMI'97, held in Poultney, Vermont, USA, in June 1997. The 27 revised full papers presented were selected from a total of 96 submissions; also included are 31 poster presentations. The book is divided into topical sections on shape models and matching, novel imaging methods, segmentation, image quality and statistical character of measured data, registration/mapping, statistical models in functional neuroimaging, and MR analysis and processing.