Image Structure by Luc Florack (English) Paperback Book

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Image Structure by Luc Florack

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.'

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher 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 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.'

Notes

Springer Book Archives

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.

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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 ISBN9048149371 Publisher Springer Series Computational Imaging and Vision Year 2010 ISBN-10 9048149371 ISBN-13 9789048149377 Format Paperback Publication Date 2010-12-07 Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands DEWEY 621.367 Edition 1st Language English Media Book Series Number 10 Short Title IMAGE STRUCTURE SOFTCOVER REPR Author Luc Florack Pages 271 Illustrations XV, 271 p. Edition Description Softcover reprint of the original 1st ed. 1997 Alternative 9780792348085 Audience Professional & Vocational Country of Origin NL Product Class Description Clinical Medicine: Professional
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