Multimedia Content Analysis: Theory and Applications covers the latest in multimedia content analysis and applications based on such analysis. As research has progressed, it has become clear that this field has to appeal to other disciplines such as psych
This textbook covers the theoretical backgrounds and practical aspects of image, video and audio feature expression, e.g., color, texture, edge, shape, salient point and area, motion, 3D structure, audio/sound in time, frequency and cepstral domains, structure and melody. Up-to-date algorithms for estimation, search, classification and compact expression of feature data are described in detail. Concepts of signal decomposition (such as segmentation, source tracking and separation), as well as composition, mixing, effects, and rendering, are discussed. Numerous figures and examples help to illustrate the aspects covered. The book was developed on the basis of a graduate-level university course, and most chapters are supplemented by problem-solving exercises. The book is also a self-contained introduction both for researchers and developers of multimedia content analysis systems in industry. Jens Rainer Ohm graduated in Electrical Engineering at TU Berlin. After his habilitations he became project coordinator at Fraunhofer Heinrich Hertz Institute, Berlin. Since 2000 Jens Ohm is Chair for Communications Engineering and Head of the Institute for Communications Engineering at Aachen University.
Multimedia Content AnalysisTheory and ApplicationsBuchvon Ajay DivakaranEAN: 9780387765679Einband: GebundenSprache: EnglischSeiten: 375Maße: 243 x 162 x 28 mmRedaktion: Ajay DivakaranIT, Technik, allgemein, Computers, Elektronik, Management, Bildvers
This textbook covers the theoretical backgrounds and practical aspects of image, video and audio feature expression, e.g., color, texture, edge, shape, salient point and area, motion, 3D structure, audio/sound in time, frequency and cepstral domains, stru
Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view. TOC:Contents: General Topology.- Banach Spaces.- Hilbert Spaces.- Spectral Theory.- Unbounded Operators.- Integration Theory.- Bibliography.- List of Symbols.- Index.
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
Excerpt from A Course of Modern Analysis: An Introduction to the General Theory of Infinite Series and of Analytic Functions; With an Account of the Principal Transcendental Functions The first half of this book contains an account of those methods and processes of higher mathematical analysis, which seem to be of greatest importance at the present time; as will be seen by a glance at the table of contents, it is chie¿y concerned with the properties of infinite series and complex integrals, and their applications to the analytical expression of functions. A discussion of infinite determinants and of asymptotic expansions has been included, as it seemed to be called for by the value of. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Excerpt from An Introduction to the Study of the Elements of the Differential and Integral Calculus Such a supplement may not, I think, be altogether super¿uous even for a larger circle of readers, since most treatises on Higher Analysis (one exception is the recent work of Dr. Lipschitz), are so occupied with its practical applications that they enter but inadequately into any discussion of the principles on which Analysis is founded. The student first realises the necessity of discussing these fundamental problems, when he comes to study treatises introductory to the Theory of Complex Functions, where much that he had probably become accustomed to regard as established by Analysis appears once more called into question. That the scientific discussion of its principles should thus be severed from the practical applications of Analysis has no justification in the nature of the subject, and any such severance is quite unsuitable in teaching it. I cannot indeed claim to have wholly avoided this in the following Essay. Even in the necessary division of its contents into four Books a separation is apparent which is based upon the fact that in the Theory of Real Functions the data are much more detailed than in that of Complex Functions. But besides the purely didactic aim, my guiding wish has been that my work might contribute towards laying the foundations on which the Differential and Integral Calculus may some day come to be treated with perfect unity of system. In the selection and ultimate limitation of the contents it was not always easy to decide: there may be a diversity in judgments respecting what belongs to the Elements of the Calculus. My purpose will be fulfilled, if this Introduction be found useful as a preparation for the study of differential equations, of algebraic curves and of algebraic integrals. The theory of these integrals might have been joined on immediately to the last chapter; but I had to omit it, since a short sketch would have been of little use, and an investigation in detail would have completely displaced the centre of gravity of my work. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Contents: Examples of Nonlinear Parabolic Equations in Physical, Biological and Engineering Problems.- Existence, Uniqueness and Continuous Dependence.- Dynamical Systems and Liapunov Stability.- Neighbourhood of an Equilibrium Point.- Invariant Manifolds Near an Equilibrium Point.- Linear Nonautonomous Equations.- Neighbourhood of a Periodic Solution.- Neighbourhood of an Invariant Manifold.