Mathematical Methods In Image Processing And Inverse Problems

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Mathematical Methods in Image Processing and Inverse Problems

Xue-Cheng Tai,Suhua Wei,Haiguang Liu
Mathematical Methods in Image Processing and Inverse Problems Book PDF

Author : Xue-Cheng Tai,Suhua Wei,Haiguang Liu
Publisher : Springer Nature
Page : 226 pages
File Size : 48,7 Mb
Release : 2021-09-25
Category : Mathematics
ISBN : 9789811627019

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Mathematical Methods in Image Processing and Inverse Problems by Xue-Cheng Tai,Suhua Wei,Haiguang Liu Pdf

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.

Mathematical Methods in Image Processing and Inverse Problems

Xue-Cheng Tai,Suhua Wei,Haiguang Liu
Mathematical Methods in Image Processing and Inverse Problems Book PDF

Author : Xue-Cheng Tai,Suhua Wei,Haiguang Liu
Publisher : Unknown
Page : 0 pages
File Size : 50,9 Mb
Release : 2021
Category : Electronic
ISBN : 9811627029

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Mathematical Methods in Image Processing and Inverse Problems by Xue-Cheng Tai,Suhua Wei,Haiguang Liu Pdf

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21-24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.

Handbook of Mathematical Methods in Imaging

Otmar Scherzer
Handbook of Mathematical Methods in Imaging Book PDF

Author : Otmar Scherzer
Publisher : Springer Science & Business Media
Page : 1626 pages
File Size : 48,5 Mb
Release : 2010-11-23
Category : Mathematics
ISBN : 9780387929194

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Handbook of Mathematical Methods in Imaging by Otmar Scherzer Pdf

The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Computational Methods for Inverse Problems in Imaging

Marco Donatelli,Stefano Serra-Capizzano
Computational Methods for Inverse Problems in Imaging Book PDF

Author : Marco Donatelli,Stefano Serra-Capizzano
Publisher : Springer Nature
Page : 171 pages
File Size : 51,9 Mb
Release : 2019-11-26
Category : Mathematics
ISBN : 9783030328825

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Computational Methods for Inverse Problems in Imaging by Marco Donatelli,Stefano Serra-Capizzano Pdf

This book presents recent mathematical methods in the area of inverse problems in imaging with a particular focus on the computational aspects and applications. The formulation of inverse problems in imaging requires accurate mathematical modeling in order to preserve the significant features of the image. The book describes computational methods to efficiently address these problems based on new optimization algorithms for smooth and nonsmooth convex minimization, on the use of structured (numerical) linear algebra, and on multilevel techniques. It also discusses various current and challenging applications in fields such as astronomy, microscopy, and biomedical imaging. The book is intended for researchers and advanced graduate students interested in inverse problems and imaging.

Handbook of Mathematical Methods in Imaging

Otmar Scherzer
Handbook of Mathematical Methods in Imaging Book PDF

Author : Otmar Scherzer
Publisher : Springer
Page : 0 pages
File Size : 45,6 Mb
Release : 2015-05-30
Category : Mathematics
ISBN : 1493907891

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Handbook of Mathematical Methods in Imaging by Otmar Scherzer Pdf

The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 200 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Image Processing Based on Partial Differential Equations

Xue-Cheng Tai,Knut-Andreas Lie,Tony F. Chan,Stanley Osher
Image Processing Based on Partial Differential Equations Book PDF

Author : Xue-Cheng Tai,Knut-Andreas Lie,Tony F. Chan,Stanley Osher
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 43,5 Mb
Release : 2006-11-22
Category : Computers
ISBN : 9783540332671

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Image Processing Based on Partial Differential Equations by Xue-Cheng Tai,Knut-Andreas Lie,Tony F. Chan,Stanley Osher Pdf

This book publishes a collection of original scientific research articles that address the state-of-art in using partial differential equations for image and signal processing. Coverage includes: level set methods for image segmentation and construction, denoising techniques, digital image inpainting, image dejittering, image registration, and fast numerical algorithms for solving these problems.

Introduction to Inverse Problems in Imaging

M. Bertero,P. Boccacci,Christine De Mol
Introduction to Inverse Problems in Imaging Book PDF

Author : M. Bertero,P. Boccacci,Christine De Mol
Publisher : CRC Press
Page : 358 pages
File Size : 54,6 Mb
Release : 2021-12-20
Category : Science
ISBN : 9781000516357

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Introduction to Inverse Problems in Imaging by M. Bertero,P. Boccacci,Christine De Mol Pdf

Fully updated throughout and with several new chapters, this second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and engineering through the principles of linear inverse problems, in addition to methods of their approximate solution and their practical applications in imaging. This second edition contains new chapters on edge-preserving and sparsity-enforcing regularization in addition to maximum likelihood methods and Bayesian regularization for Poisson data. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of students from different backgrounds, with readers needing just a rudimentary understanding of analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms, and this second edition is accompanied by numerical examples throughout. It will provide readers with the appropriate background needed for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems. Key features: Provides an accessible introduction to the topic while keeping mathematics to a minimum Interdisciplinary topic with growing relevance and wide-ranging applications Accompanied by numerical examples throughout

Inverse Problems, Image Analysis, and Medical Imaging

M. Zuhair Nashed,Otmar Scherzer,AMS Special Session on Interaction of Inverse Problems
Inverse Problems Image Analysis and Medical Imaging Book PDF

Author : M. Zuhair Nashed,Otmar Scherzer,AMS Special Session on Interaction of Inverse Problems
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 40,7 Mb
Release : 2002
Category : Diagnostic imaging
ISBN : 9780821829790

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Inverse Problems, Image Analysis, and Medical Imaging by M. Zuhair Nashed,Otmar Scherzer,AMS Special Session on Interaction of Inverse Problems Pdf

This book contains the proceedings of the Special Session, Interaction of Inverse Problems and Image Analysis, held at the January 2001 meeting of the AMS in New Orleans, LA. The common thread among inverse problems, signal analysis, and image analysis is a canonical problem: recovering an object (function, signal, picture) from partial or indirect information about the object. Both inverse problems and imaging science have emerged in recent years as interdisciplinary research fields with profound applications in many areas of science, engineering, technology, and medicine. Research in inverse problems and image processing shows rich interaction with several areas of mathematics and strong links to signal processing, variational problems, applied harmonic analysis, and computational mathematics. This volume contains carefully referred and edited original research papers and high-level survey papers that provide overview and perspective on the interaction of inverse problems, image analysis, and medical imaging. The book is suitable for graduate students and researchers interested in signal and image processing and medical imaging.

Inverse Problems, Tomography, and Image Processing

Alexander G. Ramm
Inverse Problems Tomography and Image Processing Book PDF

Author : Alexander G. Ramm
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 52,9 Mb
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 9781402079757

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Inverse Problems, Tomography, and Image Processing by Alexander G. Ramm Pdf

Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications, and Computind held in Newark, Delaware, June 2-6, 1997

Computational Methods for Inverse Problems

Curtis R. Vogel
Computational Methods for Inverse Problems Book PDF

Author : Curtis R. Vogel
Publisher : SIAM
Page : 195 pages
File Size : 41,9 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 9780898717570

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Computational Methods for Inverse Problems by Curtis R. Vogel Pdf

Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

Introduction to Inverse Problems in Imaging

M. Bertero,P. Boccacci
Introduction to Inverse Problems in Imaging Book PDF

Author : M. Bertero,P. Boccacci
Publisher : CRC Press
Page : 366 pages
File Size : 55,7 Mb
Release : 2020-08-30
Category : Technology & Engineering
ISBN : 1439822069

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Introduction to Inverse Problems in Imaging by M. Bertero,P. Boccacci Pdf

This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.

Inverse Problems

Alexander G. Ramm
Inverse Problems Book PDF

Author : Alexander G. Ramm
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 46,7 Mb
Release : 2006-01-20
Category : Technology & Engineering
ISBN : 9780387232188

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Inverse Problems by Alexander G. Ramm Pdf

Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.

Computational Methods for Applied Inverse Problems

Yanfei Wang,Anatoly G. Yagola,Changchun Yang
Computational Methods for Applied Inverse Problems Book PDF

Author : Yanfei Wang,Anatoly G. Yagola,Changchun Yang
Publisher : Walter de Gruyter
Page : 552 pages
File Size : 48,6 Mb
Release : 2012-10-30
Category : Mathematics
ISBN : 9783110259056

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Computational Methods for Applied Inverse Problems by Yanfei Wang,Anatoly G. Yagola,Changchun Yang Pdf

Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

Modeling and Inverse Problems in Imaging Analysis

Bernard Chalmond
Modeling and Inverse Problems in Imaging Analysis Book PDF

Author : Bernard Chalmond
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 46,9 Mb
Release : 2003-01-14
Category : Mathematics
ISBN : 038795547X

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Modeling and Inverse Problems in Imaging Analysis by Bernard Chalmond Pdf

More mathematicians have been taking part in the development of digital image processing as a science and the contributions are reflected in the increasingly important role modeling has played solving complex problems. This book is mostly concerned with energy-based models. Most of these models come from industrial projects in which the author was involved in robot vision and radiography: tracking 3D lines, radiographic image processing, 3D reconstruction and tomography, matching, deformation learning. Numerous graphical illustrations accompany the text.

Nonlinear Inverse Problems in Imaging

Jin Keun Seo,Eung Je Woo
Nonlinear Inverse Problems in Imaging Book PDF

Author : Jin Keun Seo,Eung Je Woo
Publisher : John Wiley & Sons
Page : 379 pages
File Size : 47,5 Mb
Release : 2012-11-16
Category : Technology & Engineering
ISBN : 9781118478158

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Nonlinear Inverse Problems in Imaging by Jin Keun Seo,Eung Je Woo Pdf

This book provides researchers and engineers in the imaging field with the skills they need to effectively deal with nonlinear inverse problems associated with different imaging modalities, including impedance imaging, optical tomography, elastography, and electrical source imaging. Focusing on numerically implementable methods, the book bridges the gap between theory and applications, helping readers tackle problems in applied mathematics and engineering. Complete, self-contained coverage includes basic concepts, models, computational methods, numerical simulations, examples, and case studies. Provides a step-by-step progressive treatment of topics for ease of understanding. Discusses the underlying physical phenomena as well as implementation details of image reconstruction algorithms as prerequisites for finding solutions to non linear inverse problems with practical significance and value. Includes end of chapter problems, case studies and examples with solutions throughout the book. Companion website will provide further examples and solutions, experimental data sets, open problems, teaching material such as PowerPoint slides and software including MATLAB m files. Essential reading for Graduate students and researchers in imaging science working across the areas of applied mathematics, biomedical engineering, and electrical engineering and specifically those involved in nonlinear imaging techniques, impedance imaging, optical tomography, elastography, and electrical source imaging