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Geometric Partial Differential Equations and Image Analysis, Guillermo Sapiro

Автор: Guillermo Sapiro
Название:  Geometric Partial Differential Equations and Image Analysis   (Сапиро Гильермо: Геометрические дифференциальные уравнения в частных производных и анализ изображений)
Издательство: Cambridge Academ
Классификация:
Дифферунциально и интегральное исчисление и математический анализ
Геометрия
Электронная техника
Обработка изображения

ISBN: 0521685079
ISBN-13(EAN): 9780521685078
ISBN: 0-521-68507-9
ISBN-13(EAN): 978-0-521-68507-8
Обложка/Формат: Paperback
Страницы: 412
Вес: 0.6 кг.
Дата издания: 13.02.2006
Язык: ENG
Иллюстрации: 38 line diagrams 43 half-tones 26 colour plates
Размер: 22.86 x 15.44 x 1.96 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Поставляется из: Англии
Описание: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.
Дополнительное описание: Subject: Mathematics / Differential & Integral Equations, Dynamical Systems and Control
Readership: partial differential equations, image processing, numerical analysis
Level: graduate students, academic researchers
Format: 228 x 152 mm 412pp
Chapter Titles: 1. Basic mathematical background; 2. Geometric curve and surface evolution; 3. Geodesic curves and minimal surfaces; 4. Geometric diffusion of scalar images; 5. Geometric diffusion of vector valued images; 6. Diffusion on non-flat manifolds; 7. Contrast enhancement; 8. Additional theories and applications.



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Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 5716 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

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Partial Differential Equations I

Автор: Taylor
Название: Partial Differential Equations I
ISBN: 1441970541 ISBN-13(EAN): 9781441970541
Издательство: Springer
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Цена: 8796 р.
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Описание: The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

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Partial Differential Equations II

Автор: Taylor
Название: Partial Differential Equations II
ISBN: 1441970517 ISBN-13(EAN): 9781441970510
Издательство: Springer
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Цена: 13639 р.
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Описание: This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.

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Partial Differential Equations III

Автор: Taylor
Название: Partial Differential Equations III
ISBN: 1441970487 ISBN-13(EAN): 9781441970480
Издательство: Springer
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Цена: 13639 р.
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Описание: The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis

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An Introduction to Partial Differential Equations

Автор: Renardy Michael, Rogers Robert C.
Название: An Introduction to Partial Differential Equations
ISBN: 0387004440 ISBN-13(EAN): 9780387004440
Издательство: Springer
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Цена: 6508 р.
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Описание: Partial differential equations are fundamental to the modeling of natural phenomena. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background to initiate work on a PhD thesis in PDEs for beginning graduate students.

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Mathematical Problems in Image Processing / Partial Differential Equations and the Calculus of Variations

Автор: Aubert Gilles, Kornprobst Pierre, Faugeras O.
Название: Mathematical Problems in Image Processing / Partial Differential Equations and the Calculus of Variations
ISBN: 0387953264 ISBN-13(EAN): 9780387953267
Издательство: Springer
Цена: 5540 р.
Наличие на складе: Поставка под заказ.

Описание: This manuscript describes some mathematical problems arising in image analysis and computer vision. The authors consider both variational and pde approaches. The description focuses on theoretical- mathematical aspects of the problems, as well as on their applications and numerical descretiziations. This book is intended to be a reference and a basis for advanced courses in the fields of applied mathematics and computer vision.

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Geometric Approaches to Differential Equations

Автор: Vassiliou
Название: Geometric Approaches to Differential Equations
ISBN: 0521775981 ISBN-13(EAN): 9780521775984
Издательство: Cambridge Academ
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Цена: 4004 р.
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Описание: Concise and accessible introduction to the wide range of topics in geometric approaches to differential equations.

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Geometric Analysis and Nonlinear Partial Differential Equations

Автор: Hildebrandt Stefan, Karcher Hermann
Название: Geometric Analysis and Nonlinear Partial Differential Equations
ISBN: 3540440518 ISBN-13(EAN): 9783540440512
Издательство: Springer
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Цена: 9679 р.
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Описание: This well-organized and coherent collection of papers leads the reader to the frontiers of  present research in the theory of nonlinear partial differential equations and the calculus of variations and offers insight into some exciting developments. In addition, most articles also provide an excellent introduction to their background, describing extensively as they do the history of those problems presented, as well as the state of the art and offer a well-chosen guide to the literature.Part I contains the contributions of geometric nature: From spectral theory on regular and singular spaces to regularity theory of solutions of variational problems. Part II consists of articles on partial differential equations which originate from problems in physics, biology and stochastics. They cover elliptic, hyperbolic and parabolic cases.

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Geometric Analysis of Hyperbolic Differential Equations: An Introduction

Автор: Alinhac
Название: Geometric Analysis of Hyperbolic Differential Equations: An Introduction
ISBN: 0521128226 ISBN-13(EAN): 9780521128223
Издательство: Cambridge Academ
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Цена: 3817 р.
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Описание: Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

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Phase space analysis of partial differential equations

Автор: Colombini Ferruccio, Pernazza Ludovico
Название: Phase space analysis of partial differential equations
ISBN: 8876421505 ISBN-13(EAN): 9788876421501
Издательство: Springer
Цена: 3872 р.
Наличие на складе: Поставка под заказ.

Описание: A Research Trimester on Phase Space Analysis of Partial Differential Equations was held at the Centro di Ricerca Matematica “Ennio De Giorgi” during the period February 15 --- May 15, 2004. In the two volumes some of the contributions have been collected. The contributions are in the following different fields: Microlocal analysis, Fluid mechanics, Hyperbolic equations, Strichartz estimates, Other related fields (Uniqueness, SchrГ¶dinger operators, Hypoellipticity).

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Fourier Analysis and Partial Differential Equations

Автор: Rafael Jos? Iorio, Jr
Название: Fourier Analysis and Partial Differential Equations
ISBN: 052162116X ISBN-13(EAN): 9780521621168
Издательство: Cambridge Academ
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Цена: 7264 р.
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Описание: This modern introduction to Fourier analysis and partial differential equations is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrodinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case.

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Partial Differential Equations and Functional Analysis

Автор: Koelink, E.; Neerven
Название: Partial Differential Equations and Functional Analysis
ISBN: 3764376007 ISBN-13(EAN): 9783764376000
Издательство: Springer
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Цена: 14079 р.
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Описание: Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clement. It will be of interest to researchers in PDEs and functional analysis.

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