Scale-Space Theory in Computer Vision

Scale-Space Theory in Computer Vision

Author: Tony Lindeberg

Publisher: Springer Science & Business Media

Published: 1993-12-31

Total Pages: 450

ISBN-13: 9780792394181

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The problem of scale pervades both the natural sciences and the vi sual arts. The earliest scientific discussions concentrate on visual per ception (much like today!) and occur in Euclid's (c. 300 B. C. ) Optics and Lucretius' (c. 100-55 B. C. ) On the Nature of the Universe. A very clear account in the spirit of modern "scale-space theory" is presented by Boscovitz (in 1758), with wide ranging applications to mathemat ics, physics and geography. Early applications occur in the cartographic problem of "generalization", the central idea being that a map in order to be useful has to be a "generalized" (coarse grained) representation of the actual terrain (Miller and Voskuil 1964). Broadening the scope asks for progressive summarizing. Very much the same problem occurs in the (realistic) artistic rendering of scenes. Artistic generalization has been analyzed in surprising detail by John Ruskin (in his Modern Painters), who even describes some of the more intricate generic "scale-space sin gularities" in detail: Where the ancients considered only the merging of blobs under blurring, Ruskin discusses the case where a blob splits off another one when the resolution is decreased, a case that has given rise to confusion even in the modern literature.


Scale Space

Scale Space

Author: Fouad Sabry

Publisher: One Billion Knowledgeable

Published: 2024-05-13

Total Pages: 108

ISBN-13:

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What is Scale Space Scale-space theory is a framework for multi-scale signal representation developed by the computer vision, image processing and signal processing communities with complementary motivations from physics and biological vision. It is a formal theory for handling image structures at different scales, by representing an image as a one-parameter family of smoothed images, the scale-space representation, parametrized by the size of the smoothing kernel used for suppressing fine-scale structures. The parameter in this family is referred to as the scale parameter, with the interpretation that image structures of spatial size smaller than about have largely been smoothed away in the scale-space level at scale . How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Scale Space Chapter 2: Edge detection Chapter 3: Gaussian blur Chapter 4: Difference of Gaussians Chapter 5: Scale-invariant feature transform Chapter 6: Multi-scale approaches Chapter 7: Structure tensor Chapter 8: Pyramid (image processing) Chapter 9: Anisotropic diffusion Chapter 10: Gabor filter (II) Answering the public top questions about scale space. (III) Real world examples for the usage of scale space in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Scale Space.


Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization

Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization

Author: F. Mokhtarian

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 444

ISBN-13: 9401703434

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MPEG-7 is the first international standard which contains a number of key techniques from Computer Vision and Image Processing. The Curvature Scale Space technique was selected as a contour shape descriptor for MPEG-7 after substantial and comprehensive testing, which demonstrated the superior performance of the CSS-based descriptor. Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization is based on key publications on the CSS technique, as well as its multiple applications and generalizations. The goal was to ensure that the reader will have access to the most fundamental results concerning the CSS method in one volume. These results have been categorized into a number of chapters to reflect their focus as well as content. The book also includes a chapter on the development of the CSS technique within MPEG standardization, including details of the MPEG-7 testing and evaluation processes which led to the selection of the CSS shape descriptor for the standard. The book can be used as a supplementary textbook by any university or institution offering courses in computer and information science.


Scale Space and Variational Methods in Computer Vision

Scale Space and Variational Methods in Computer Vision

Author: Abderrahim Elmoataz

Publisher: Springer Nature

Published: 2021-04-29

Total Pages: 584

ISBN-13: 3030755495

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This book constitutes the proceedings of the 8th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2021, which took place during May 16-20, 2021. The conference was planned to take place in Cabourg, France, but changed to an online format due to the COVID-19 pandemic. The 45 papers included in this volume were carefully reviewed and selected from a total of 64 submissions. They were organized in topical sections named as follows: scale space and partial differential equations methods; flow, motion and registration; optimization theory and methods in imaging; machine learning in imaging; segmentation and labelling; restoration, reconstruction and interpolation; and inverse problems in imaging.


Scale Space Methods in Computer Vision

Scale Space Methods in Computer Vision

Author: Lewis D. Griffin

Publisher: Springer Science & Business Media

Published: 2007-10-06

Total Pages: 829

ISBN-13: 3540449353

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The refereed proceedings of the 4th International Conference on Scale Space Methods in Computer Vision, Scale-Space 2003, held at Isle of Skye, UK in June 2003. The 56 revised full papers presented were carefully reviewed and selected from 101 submissions. The book offers topical sections on deep structure representations, scale space mathematics, equivalences, implementing scale spaces, minimal approaches, evolution equations, local structure, image models, morphological scale spaces, temporal scale spaces, shape, and motion and stereo.


Scale-Space Theory in Computer Vision

Scale-Space Theory in Computer Vision

Author: Bart ter Haar Romeny

Publisher: Springer Science & Business Media

Published: 1997-06-18

Total Pages: 388

ISBN-13: 9783540631675

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This book constitutes the refereed proceedings of the First International Conference on Scale-Space Theory for Computer Vision, Scale-Space '97, held in Utrecht, The Netherlands, in July 1997. The volume presents 21 revised full papers selected from a total of 41 submissions. Also included are 2 invited papers and 13 poster presentations. This book is the first comprehensive documentation of the application of Scale-Space techniques in computer vision and, in the broader context, in image processing and pattern recognition.


Scale Space and Variational Methods in Computer Vision

Scale Space and Variational Methods in Computer Vision

Author: Fiorella Sgallari

Publisher: Springer Science & Business Media

Published: 2007-05-24

Total Pages: 946

ISBN-13: 3540728228

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This book constitutes the refereed proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2007, emanated from the joint edition of the 4th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2007 and the 6th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2007, held in Ischia Italy, May/June 2007.


The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time

Author: S. W. Hawking

Publisher: Cambridge University Press

Published: 1975-02-27

Total Pages: 406

ISBN-13: 1139810952

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Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.


Scale Space and Variational Methods in Computer Vision

Scale Space and Variational Methods in Computer Vision

Author: Xue-Cheng Tai

Publisher: Springer Science & Business Media

Published: 2009-05-25

Total Pages: 882

ISBN-13: 3642022553

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This book constitutes the refereed proceedings of the Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2009, emanated from the joint edition of the 5th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2009 and the 7th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2009, held in Voss, Norway in June 2009. The 71 revised full papers presented were carefully reviewed and selected numerous submissions. The papers are organized in topical sections on segmentation and detection; image enhancement and reconstruction; motion analysis, optical flow, registration and tracking; surfaces and shapes; scale space and feature extraction.