Image Structure by Luc Florack (English) Hardcover Book

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Image Structure by Luc Florack

In this work, a complete account of image structure is proposed in terms of rigorously defined machine concepts, using basic tools from algebra, analysis and differential geometry.

FORMAT
Hardcover LANGUAGE
English CONDITION
Brand New Publisher Description

Despite the fact that images constitute the main objects in computer vision and image analysis, there is little concern about their actual definition. In this book, a complete account of image structure is proposed in terms of rigorously defined machine concepts, using basic tools from algebra, analysis, and differential geometry. Machine technicalities such as discretisation and quantisation details are de-emphasized, and robustness with respect to noise is manifest.

Table of Contents

1 Introduction.- 2 Basic Concepts.- 3 Local Samples and Images.- 4 The Scale-Space Paradigm.- 5 Local Image Structure.- 6 Multiscale Optic Flow.- A Geometry and Tensor Calculus.- A.1 Literature.- A.2 Geometric Concepts.- A.2.1 Preliminaries.- A.2.2 Vectors.- A.2.3 Covectors.- A.2.4 Dual Bases.- A.2.5 Riemannian Metric.- A.2.6 Tensors.- A.2.7 Push Forward, Pull Back, Derivative Map.- C Proof of Proposition 5.4.- D Proof of Proposition 5.5.- Solutions to Problems.- Symbols.

Long Description

Despite the fact that images constitute the main objects in computer vision and image analysis, there is remarkably little concern about their actual definition. In this book a complete account of image structure is proposed in terms of rigorously defined machine concepts, using basic tools from algebra, analysis, and differential geometry. Machine technicalities such as discretisation and quantisation details are de-emphasised, and robustness with respect to noise is manifest. From the foreword by Jan Koenderink: 'It is my hope that the book will find a wide audience, including physicists - who still are largely unaware of the general importance and power of scale space theory, mathematicians - who will find in it a principled and formally tight exposition of a topic awaiting further development, and computer scientists - who will find here a unified and conceptually well founded framework for many apparently unrelated and largely historically motivated methods they already know and love. The book is suited for self-study and graduate courses, the carefully formulated exercises are designed to get to grips with the subject matter and prepare the reader for original research.'

Details ISBN0792348087 Series Computational Imaging and Vision Language English ISBN-10 0792348087 ISBN-13 9780792348085 Media Book Format Hardcover Series Number 10 Year 1997 Publication Date 1997-09-30 Place of Publication Dordrecht Short Title IMAGE STRUCTURE 1997/E Pages 271 DOI Author Luc Florack Edition Description 1997 ed. Edition 1997th Alternative 9789048149377 DEWEY 006.42 Illustrations XV, 271 p. Audience Postgraduate, Research & Scholarly Country of Origin US Product Class Description Computing: Professional & Programming Publisher Kluwer Academic Publishers Imprint Kluwer Academic Publishers Country of Publication United States US Release Date 1997-09-30
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