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Variational Methods in Image Processing, Vese



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Автор: Vese
Название:  Variational Methods in Image Processing   (Вис: Вариационное исчисление в обработке изображений)
Издательство: Taylor&Francis
Классификация:
Прикладная математика

ISBN: 1439849730
ISBN-13(EAN): 9781439849736
ISBN: 1-439-84973-0
ISBN-13(EAN): 978-1-439-84973-6
Обложка/Формат: Hardback
Страницы: 410
Вес: 0.722 кг.
Дата издания: 10.12.2015
Серия: Chapman & hall/crc mathematical and computational imaging sciences series
Язык: ENG
Иллюстрации: 10 pages/16 images follows page 134; 6 tables, black and white; 136 illustrations, black and white
Размер: 159 x 237 x 28
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Image processing, COMPUTERS / Computer Graphics,MATHEMATICS / Graphic Methods,TECHNOLOGY & ENGINEERING / Imaging Systems
Основная тема: Image Processing
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler–Lagrange equations, and numerical implementations for image processing. It balances traditional computational models with more modern techniques that solve the latest challenges introduced by new image acquisition devices. The book addresses the most important problems in image processing along with other related problems and applications. Each chapter presents the problem, discusses its mathematical formulation as a minimization problem, analyzes its mathematical well-posedness, derives the associated Euler–Lagrange equations, describes the numerical approximations and algorithms, explains several numerical results, and includes a list of exercises. MATLAB® codes are available online. Filled with tables, illustrations, and algorithms, this self-contained textbook is primarily for advanced undergraduate and graduate students in applied mathematics, scientific computing, medical imaging, computer vision, computer science, and engineering. It also offers a detailed overview of the relevant variational models for engineers, professionals from academia, and those in the image processing industry.
Дополнительное описание:




Variational Methods in Partially Ordered Spaces

Автор: G?pfert
Название: Variational Methods in Partially Ordered Spaces
ISBN: 0387004521 ISBN-13(EAN): 9780387004525
Издательство: Springer
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Цена: 7479 р.
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Описание: In mathematical modeling of processes one often encounters optimization problems involving more than one objective function, so that Multiobjective Optimization (or Vector Optimization) has received new impetus. The growing interest in multiobjective problems, both from the theoretical point of view and as it concerns applications to real problems, asks for a general scheme which embraces several existing developments and stimulates new ones. In this book the authors provide the newest results and applications of this quickly growing field.

This book will be of interest to graduate students in mathematics, economics, and engineering, as well as researchers in pure and applied mathematics, economics, engineering, geography, and town planning. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book.

Models and Analysis of Quasistatic Contact / Variational Methods

Автор: Shillor Meir, Sofonea Mircea, Telega JГіzef J.
Название: Models and Analysis of Quasistatic Contact / Variational Methods
ISBN: 3540229159 ISBN-13(EAN): 9783540229155
Издательство: Springer
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Цена: 12233 р.
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Описание: The mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models.

The Variational Bayes Method in Signal Processing

Автор: SmГ­dl VГЎclav, Quinn Anthony
Название: The Variational Bayes Method in Signal Processing
ISBN: 3540288198 ISBN-13(EAN): 9783540288190
Издательство: Springer
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Цена: 13107 р.
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Описание: This is the first book-length treatment of the Variational Bayes (VB) approximation in signal processing. It has been written as a self-contained, self-learning guide for academic and industrial research groups in signal processing, data analysis, machine learning, identification and control. It reviews the VB distributional approximation, showing that tractable algorithms for parametric model identification can be generated in off-line and on-line contexts. Many of the principles are first illustrated via easy-to-follow scalar decomposition problems. In later chapters, successful applications are found in factor analysis for medical image sequences, mixture model identification and speech reconstruction. Results with simulated and real data are presented in detail. The unique development of an eight-step "VB method", which can be followed in all cases, enables the reader to develop a VB inference algorithm from the ground up, for their own particular signal or image model.

Variational Methods with Applications in Science and Engineering

Автор: Cassel
Название: Variational Methods with Applications in Science and Engineering
ISBN: 1107022584 ISBN-13(EAN): 9781107022584
Издательство: Cambridge Academ
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Цена: 8846 р.
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Описание: There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields.

Variational Methods for Nonlocal Fractional Problems

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 10199 р.
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Описание: This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory.

Energy Principles and Variational Methods in Applied Mechanics, 2nd Edition

Автор: J. N. Reddy
Название: Energy Principles and Variational Methods in Applied Mechanics, 2nd Edition
ISBN: 047117985X ISBN-13(EAN): 9780471179856
Издательство: Wiley
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Цена: 15675 р.
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Описание: This text covers the fundamental concepts of energy principles and variational methods and their function in the formulation and solution of problems of mechanics. It has been completely revised and updated to meet the increased application of these methods.

Progress In Variational Methods - Proceedings Of The International Conference On Variational Methods

Автор: Liu Chungen & Long Yiming
Название: Progress In Variational Methods - Proceedings Of The International Conference On Variational Methods
ISBN: 9814327832 ISBN-13(EAN): 9789814327831
Издательство: World Scientific Publishing
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Цена: 10443 р.
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Описание: Over the years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on these lectures.

Variational methods in imaging preliminary entry 650

Автор: Scherzer, Otmar Grasmair, Markus Grossauer, Harald
Название: Variational methods in imaging preliminary entry 650
ISBN: 0387309314 ISBN-13(EAN): 9780387309316
Издательство: Springer
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Цена: 7479 р.
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Описание: Deals with the study of variational methods in imaging. This title covers a treatment of the approach from an inverse problems point of view. It includes numerical examples that accompany the theory. It is suitable for graduate students, researchers in applied mathematics, and researchers in the area of imaging science.

Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems

Автор: Motreanu D., Radulescu V.
Название: Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems
ISBN: 140201385X ISBN-13(EAN): 9781402013850
Издательство: Springer
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Цена: 15427 р.
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Описание: The book provides a comprehensive exposition of modern topics in nonlinear analysis with applications to various boundary value problems with discontinuous nonlinearities and nonsmooth constraints. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. In addition to the existence of solutions, a major part of the book is devoted to the study of different qualitative properties such as multiplicity, location, extremality, and stability. The treatment relies on variational methods, monotonicity principles, topological arguments and optimization techniques. The book is based on the authors' original results obtained in the last decade. A great deal of the material is published for the first time in this book and is organized in a unifying way. The book is self-contained. The abstract results are illustrated through various examples and applications.

Variational and Hemivariational Inequalities - Theory, Methods and Applications / Volume II: Unilateral Problems

Автор: Goeleven D., Motreanu D.
Название: Variational and Hemivariational Inequalities - Theory, Methods and Applications / Volume II: Unilateral Problems
ISBN: 1402075383 ISBN-13(EAN): 9781402075384
Издательство: Springer
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Цена: 15427 р.
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Описание: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time. Audience: The book is suitable for researchers, and for doctoral and post-doctoral courses.

Автор: Goeleven D., Motreanu D.
Название: Variational and Hemivariational Inequalities - Theory, Methods and Applications / Volume II: Unilateral Problems
ISBN: 1402075391 ISBN-13(EAN): 9781402075391
Издательство: Springer
Цена: 28892 р.
Наличие на складе: Поставка под заказ.

Описание: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.

Variational Methods in Shape Optimization Problems

Автор: Bucur
Название: Variational Methods in Shape Optimization Problems
ISBN: 0817643591 ISBN-13(EAN): 9780817643591
Издательство: Springer
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Цена: 6260 р.
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Описание: The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems.* Presents foundational introduction to shape optimization theory* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains* Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions* Studies optimization problems for obstacles and eigenvalues of elliptic operators* Poses several open problems for further research* Substantial bibliography and indexDriven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.


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