On Minimax Edge Estimation In Image Reconstruction Problems

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Minimax Theory of Image Reconstruction

Author : A.P. Korostelev
Publisher : Springer Science & Business Media
ISBN 13 : 1461227127
Total Pages : 272 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Minimax Theory of Image Reconstruction by : A.P. Korostelev

Download or read book Minimax Theory of Image Reconstruction written by A.P. Korostelev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: There exists a large variety of image reconstruction methods proposed by different authors (see e. g. Pratt (1978), Rosenfeld and Kak (1982), Marr (1982)). Selection of an appropriate method for a specific problem in image analysis has been always considered as an art. How to find the image reconstruction method which is optimal in some sense? In this book we give an answer to this question using the asymptotic minimax approach in the spirit of Ibragimov and Khasminskii (1980a,b, 1981, 1982), Bretagnolle and Huber (1979), Stone (1980, 1982). We assume that the image belongs to a certain functional class and we find the image estimators that achieve the best order of accuracy for the worst images in the class. This concept of optimality is rather rough since only the order of accuracy is optimized. However, it is useful for comparing various image reconstruction methods. For example, we show that some popular methods such as simple linewise processing and linear estimation are not optimal for images with sharp edges. Note that discontinuity of images is an important specific feature appearing in most practical situations where one has to distinguish between the "image domain" and the "background" . The approach of this book is based on generalization of nonparametric regression and nonparametric change-point techniques. We discuss these two basic problems in Chapter 1. Chapter 2 is devoted to minimax lower bounds for arbitrary estimators in general statistical models.

Change-point Problems

Author : Edward G. Carlstein
Publisher : IMS
ISBN 13 : 9780940600348
Total Pages : 400 pages
Book Rating : 4.6/5 (3 download)

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Book Synopsis Change-point Problems by : Edward G. Carlstein

Download or read book Change-point Problems written by Edward G. Carlstein and published by IMS. This book was released on 1994 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Intensive Methods in Statistics

Author : Wolfgang Härdle
Publisher : Springer Science & Business Media
ISBN 13 : 3642524680
Total Pages : 184 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Intensive Methods in Statistics by : Wolfgang Härdle

Download or read book Computer Intensive Methods in Statistics written by Wolfgang Härdle and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The computer has created new fields in statistic. Numerical and statistical problems that were untackable five to ten years ago can now be computed even on portable personal computers. A computer intensive task is for example the numerical calculation of posterior distributions in Bayesian analysis. The Bootstrap and image analysis are two other fields spawned by the almost unlimited computing power. It is not only the computing power through that has revolutionized statistics, the graphical interactiveness on modern statistical environments has given us the possibility for deeper insight into our data. On November 21,22 1991 a conference on computer Intensive Methods in Statistics has been organized at the Universite Catholique de Louvain, Louvain-La-Neuve, Belgium. The organizers were Jan Beirlant (Katholieke Universiteit Leuven), Wolfgang Hardie (Humboldt-Universitat zu Berlin) and Leopold Simar (Universite Catholique de Louvain and Facultes Universitaires Saint-Louis). The meeting was the Xllth in the series of the Rencontre Franco-Beige des Statisticians. Following this tradition both theoretical statistical results and practical contributions of this active field of statistical research were presented. The four topics that have been treated in more detail were: Bayesian Computing; Interfacing Statistics and Computers; Image Analysis; Resampling Methods. Selected and refereed papers have been edited and collected for this book. 1) Bayesian Computing.

Image Processing and Jump Regression Analysis

Author : Peihua Qiu
Publisher : John Wiley & Sons
ISBN 13 : 0471733164
Total Pages : 344 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Image Processing and Jump Regression Analysis by : Peihua Qiu

Download or read book Image Processing and Jump Regression Analysis written by Peihua Qiu and published by John Wiley & Sons. This book was released on 2005-05-20 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first text to bridge the gap between image processing andjump regression analysis Recent statistical tools developed to estimate jump curves andsurfaces have broad applications, specifically in the area of imageprocessing. Often, significant differences in technicalterminologies make communication between the disciplines of imageprocessing and jump regression analysis difficult. Ineasy-to-understand language, Image Processing and JumpRegression Analysis builds a bridge between the worlds ofcomputer graphics and statistics by addressing both the connectionsand the differences between these two disciplines. The authorprovides a systematic analysis of the methodology behindnonparametric jump regression analysis by outlining procedures thatare easy to use, simple to compute, and have proven statisticaltheory behind them. Key topics include: Conventional smoothing procedures Estimation of jump regression curves Estimation of jump location curves of regression surfaces Jump-preserving surface reconstruction based on localsmoothing Edge detection in image processing Edge-preserving image restoration With mathematical proofs kept to a minimum, this book isuniquely accessible to a broad readership. It may be used as aprimary text in nonparametric regression analysis and imageprocessing as well as a reference guide for academicians andindustry professionals focused on image processing or curve/surfaceestimation.

Journal of the American Statistical Association

Author :
Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Journal of the American Statistical Association by :

Download or read book Journal of the American Statistical Association written by and published by . This book was released on 2007 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: A scientific and educational journal not only for professional statisticians but also for economists, business executives, research directors, government officials, university professors, and others who are seriously interested in the application of statistical methods to practical problems, in the development of more useful methods, and in the improvement of basic statistical data.

Handbook of Image and Video Processing

Author : Alan C. Bovik
Publisher : Academic Press
ISBN 13 : 0080533612
Total Pages : 1429 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Image and Video Processing by : Alan C. Bovik

Download or read book Handbook of Image and Video Processing written by Alan C. Bovik and published by Academic Press. This book was released on 2010-07-21 with total page 1429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 55% new material in the latest edition of this "must-have for students and practitioners of image & video processing!This Handbook is intended to serve as the basic reference point on image and video processing, in the field, in the research laboratory, and in the classroom. Each chapter has been written by carefully selected, distinguished experts specializing in that topic and carefully reviewed by the Editor, Al Bovik, ensuring that the greatest depth of understanding be communicated to the reader. Coverage includes introductory, intermediate and advanced topics and as such, this book serves equally well as classroom textbook as reference resource. • Provides practicing engineers and students with a highly accessible resource for learning and using image/video processing theory and algorithms • Includes a new chapter on image processing education, which should prove invaluable for those developing or modifying their curricula • Covers the various image and video processing standards that exist and are emerging, driving today's explosive industry • Offers an understanding of what images are, how they are modeled, and gives an introduction to how they are perceived • Introduces the necessary, practical background to allow engineering students to acquire and process their own digital image or video data • Culminates with a diverse set of applications chapters, covered in sufficient depth to serve as extensible models to the reader's own potential applications About the Editor... Al Bovik is the Cullen Trust for Higher Education Endowed Professor at The University of Texas at Austin, where he is the Director of the Laboratory for Image and Video Engineering (LIVE). He has published over 400 technical articles in the general area of image and video processing and holds two U.S. patents. Dr. Bovik was Distinguished Lecturer of the IEEE Signal Processing Society (2000), received the IEEE Signal Processing Society Meritorious Service Award (1998), the IEEE Third Millennium Medal (2000), and twice was a two-time Honorable Mention winner of the international Pattern Recognition Society Award. He is a Fellow of the IEEE, was Editor-in-Chief, of the IEEE Transactions on Image Processing (1996-2002), has served on and continues to serve on many other professional boards and panels, and was the Founding General Chairman of the IEEE International Conference on Image Processing which was held in Austin, Texas in 1994.* No other resource for image and video processing contains the same breadth of up-to-date coverage* Each chapter written by one or several of the top experts working in that area* Includes all essential mathematics, techniques, and algorithms for every type of image and video processing used by electrical engineers, computer scientists, internet developers, bioengineers, and scientists in various, image-intensive disciplines

Advances in Signal Transforms

Author : Jaakko Astola
Publisher : Hindawi Publishing Corporation
ISBN 13 : 9775945550
Total Pages : 425 pages
Book Rating : 4.7/5 (759 download)

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Book Synopsis Advances in Signal Transforms by : Jaakko Astola

Download or read book Advances in Signal Transforms written by Jaakko Astola and published by Hindawi Publishing Corporation. This book was released on 2007 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Digital signal transforms are of a fundamental value in digital signal and image processing. Their role is manifold. Transforms selected appropriately enable substantial compressing signals and images for storage and transmission. No signal recovery, image reconstruction and restoration task can be efficiently solved without using digital signal transforms. Transforms are successfully used for logic design and digital data encryption. Fast transforms are the main tools for acceleration of computations in digital signal and image processing. The volume collects in one book most recent developments in the theory and practice of the design and usage of transforms in digital signal and image processing. It emerged from the series of reports published by Tampere International Centre for Signal Processing, Tampere University of Technology. For the volume, all contributions are appropriately updated to represent the state of the art in the field and to cover the most recent developments in different aspects of the theory and applications of transforms. The book consists of two parts that represent two major directions in the field: development of new transforms and development of transform based signal and image processing algorithms. The first part contains four chapters devoted to recent advances in transforms for image compression and switching and logic design and to new fast transforms for digital holography and tomography. In the second part, advanced transform based signal and image algorithms are considered: signal and image local adaptive restoration methods and two complementing families of signal and image re-sampling algorithms, fast transform based discrete sinc-interpolation and spline theory based ones."--Publisher.

Blind Image Deconvolution

Author : Patrizio Campisi
Publisher : CRC Press
ISBN 13 : 1351837680
Total Pages : 421 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Blind Image Deconvolution by : Patrizio Campisi

Download or read book Blind Image Deconvolution written by Patrizio Campisi and published by CRC Press. This book was released on 2017-12-19 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Signal Processing

Author : Daniel N. Rockmore
Publisher : Cambridge University Press
ISBN 13 : 9780521827065
Total Pages : 356 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Modern Signal Processing by : Daniel N. Rockmore

Download or read book Modern Signal Processing written by Daniel N. Rockmore and published by Cambridge University Press. This book was released on 2004-04-05 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of the mathematical basis of signal processing, and many areas of application.

Parallel Operator Splitting Algorithms with Application to Imaging Inverse Problems

Author : Chuan He
Publisher : Springer Nature
ISBN 13 : 9819937507
Total Pages : 208 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Parallel Operator Splitting Algorithms with Application to Imaging Inverse Problems by : Chuan He

Download or read book Parallel Operator Splitting Algorithms with Application to Imaging Inverse Problems written by Chuan He and published by Springer Nature. This book was released on 2023-08-28 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image denoising, image deblurring, image inpainting, super-resolution, and compressed sensing reconstruction have important application value in engineering practice, and they are also the hot frontiers in the field of image processing. This book focuses on the numerical analysis of ill condition of imaging inverse problems and the methods of solving imaging inverse problems based on operator splitting. Both algorithmic theory and numerical experiments have been addressed. The book is divided into six chapters, including preparatory knowledge, ill-condition numerical analysis and regularization method of imaging inverse problems, adaptive regularization parameter estimation, and parallel solution methods of imaging inverse problem based on operator splitting. Although the research methods in this book take image denoising, deblurring, inpainting, and compressed sensing reconstruction as examples, they can also be extended to image processing problems such as image segmentation, hyperspectral decomposition, and image compression. This book can benefit teachers and graduate students in colleges and universities, or be used as a reference for self-study or further study of image processing technology engineers.

A Wavelet Tour of Signal Processing

Author : Stephane Mallat
Publisher : Elsevier
ISBN 13 : 0080520839
Total Pages : 663 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis A Wavelet Tour of Signal Processing by : Stephane Mallat

Download or read book A Wavelet Tour of Signal Processing written by Stephane Mallat and published by Elsevier. This book was released on 1999-09-14 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and ÉcolePolytechnique in Paris. - Provides a broad perspective on the principles and applications of transient signal processing with wavelets - Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms - Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements - Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet - Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition - Optical flow calculation and video compression algorithms - Image models with bounded variation functions - Bayes and Minimax theories for signal estimation - 200 pages rewritten and most illustrations redrawn - More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Sparse Image and Signal Processing

Author : Jean-Luc Starck
Publisher : Cambridge University Press
ISBN 13 : 1316483304
Total Pages : 449 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Sparse Image and Signal Processing by : Jean-Luc Starck

Download or read book Sparse Image and Signal Processing written by Jean-Luc Starck and published by Cambridge University Press. This book was released on 2015-10-14 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thoroughly updated new edition presents state-of-the-art sparse and multiscale image and signal processing. It covers linear multiscale geometric transforms, such as wavelet, ridgelet, or curvelet transforms, and non-linear multiscale transforms based on the median and mathematical morphology operators. Along with an up-to-the-minute description of required computation, it covers the latest results in inverse problem solving and regularization, sparse signal decomposition, blind source separation, in-painting, and compressed sensing. New chapters and sections cover multiscale geometric transforms for three-dimensional data (data cubes), data on the sphere (geo-located data), dictionary learning, and nonnegative matrix factorization. The authors wed theory and practice in examining applications in areas such as astronomy, including recent results from the European Space Agency's Herschel mission, biology, fusion physics, cold dark matter simulation, medical MRI, digital media, and forensics. MATLAB® and IDL code, available online at www.SparseSignalRecipes.info, accompany these methods and all applications.

Advanced Wireless Networks

Author : Savo G. Glisic
Publisher : John Wiley & Sons
ISBN 13 : 1119096855
Total Pages : 848 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Advanced Wireless Networks by : Savo G. Glisic

Download or read book Advanced Wireless Networks written by Savo G. Glisic and published by John Wiley & Sons. This book was released on 2016-08-08 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this popular reference covers enabling technologies for building up 5G wireless networks. Due to extensive research and complexity of the incoming solutions for the next generation of wireless networks it is anticipated that the industry will select a subset of these results and leave some advanced technologies to be implemented later,. This new edition presents a carefully chosen combination of the candidate network architectures and the required tools for their analysis. Due to the complexity of the technology, the discussion on 5G will be extensive and it will be difficult to reach consensus on the new global standard. The discussion will have to include the vendors, operators, regulators as well as the research and academic community in the field. Having a comprehensive book will help many participants to join actively the discussion and make meaningful contribution to shaping the new standard.

Image Analysis

Author : Josef Bigun
Publisher : Springer
ISBN 13 : 354045103X
Total Pages : 1196 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Image Analysis by : Josef Bigun

Download or read book Image Analysis written by Josef Bigun and published by Springer. This book was released on 2003-08-02 with total page 1196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refeered proceedings of the 13th Scandinavian Conference on Image Analysis, SCIA 2003, held in Halmstad, Sweden in June/July 2003. The 148 revised full papers presented together with 6 invited contributions were carefully reviewed and selected for presentation. The papers are organized in topical sections on feature extraction, depth and surface, shape analysis, coding and representation, motion analysis, medical image processing, color analysis, texture analysis, indexing and categorization, and segmentation and spatial grouping.

Current Index to Statistics, Applications, Methods and Theory

Author :
Publisher :
ISBN 13 :
Total Pages : 948 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Current Index to Statistics, Applications, Methods and Theory by :

Download or read book Current Index to Statistics, Applications, Methods and Theory written by and published by . This book was released on 1999 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.

Multiscale and Multiresolution Methods

Author : Timothy J. Barth
Publisher : Springer Science & Business Media
ISBN 13 : 3642562051
Total Pages : 396 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Multiscale and Multiresolution Methods by : Timothy J. Barth

Download or read book Multiscale and Multiresolution Methods written by Timothy J. Barth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include the computation of fluid turbulence, structural analysis of composite materials, terabyte data mining, image processing, and a multitude of others. This book consists of both invited and contributed articles which address many facets of efficient multiscale representation and scientific computation from varied viewpoints such as hierarchical data representations, multilevel algorithms, algebraic homogeni- zation, and others. This book should be of particular interest to readers interested in recent and emerging trends in multiscale and multiresolution computation with application to a wide range of practical problems.

Computer Vision - ECCV 2004

Author : Tomas Pajdla
Publisher : Springer Science & Business Media
ISBN 13 : 354021982X
Total Pages : 639 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Computer Vision - ECCV 2004 by : Tomas Pajdla

Download or read book Computer Vision - ECCV 2004 written by Tomas Pajdla and published by Springer Science & Business Media. This book was released on 2004-04-30 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set comprising LNCS volumes 3021/3022/3023/3024 constitutes the refereed proceedings of the 8th European Conference on Computer Vision, ECCV 2004, held in Prague, Czech Republic, in May 2004. The 190 revised papers presented were carefully reviewed and selected from a total of 555 papers submitted. The four books span the entire range of current issues in computer vision. The papers are organized in topical sections on tracking; feature-based object detection and recognition; geometry; texture; learning and recognition; information-based image processing; scale space, flow, and restoration; 2D shape detection and recognition; and 3D shape representation and reconstruction.