Geometric Curve Evolution And Image Processing

Author : Frédéric Cao
Publisher : Springer Science & Business Media
ISBN 13 : 9783540004028
Total Pages : 204 pages
Book Rating : 4.25/5 ( download)

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Download or read book Geometric Curve Evolution and Image Processing written by Frédéric Cao and published by Springer Science & Business Media. This book was released on 2003-02-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: In image processing, "motions by curvature" provide an efficient way to smooth curves representing the boundaries of objects. In such a motion, each point of the curve moves, at any instant, with a normal velocity equal to a function of the curvature at this point. This book is a rigorous and self-contained exposition of the techniques of "motion by curvature". The approach is axiomatic and formulated in terms of geometric invariance with respect to the position of the observer. This is translated into mathematical terms, and the author develops the approach of Olver, Sapiro and Tannenbaum, which classifies all curve evolution equations. He then draws a complete parallel with another axiomatic approach using level-set methods: this leads to generalized curvature motions. Finally, novel, and very accurate, numerical schemes are proposed allowing one to compute the solution of highly degenerate evolution equations in a completely invariant way. The convergence of this scheme is also proved.

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.21/5 ( download)

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Download or read book Curve and Polygon Evolution Techniques for Image Processing written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this digital era of our world, huge amounts of digital image data are being collected on a daily basis. The collected image data is being stored for subsequent processing and use in a wide variety of applications. For this purpose, it is often important to accurately and precisely extract relevant information out of this data. In computer vision applications, for instance, an important goal is to understand the contents of an image and be able to automatically gain an understanding of a scene, implying an extraction and recognition of an object. This task is, however, greatly complicated by the acquired image data being often noisy, and target objects and background bearing textural variations. As a result, there is a strong demand for reliable and automated image processing algorithms, for image smoothing, textured image segmentation, object extraction, tracking, and recognition. The objective of this thesis is to develop image processing algorithms which are efficient, statistically robust and sufficiently general, in order to account for noise and textural variations in images, and which have the ability to extract and provide compact and useful descriptions of target objects in images, for object recognition and tracking purposes. The main contribution of the thesis is the development of image processing algorithms, which are based on the theory of curve evolution with connections to information theory and probability theory. These connections form the basis for extracting a compact object description, in the form of a polygonal contour. One contribution is the development of a new class of curve evolution equations designed to preserve prescribed polygonal structures in an image while removing noise. In conjunction with these flows, a local stochastic formulation of a well-studied curve evolution equation, namely the geometric heat equation, provides an alternative microscopic as well as macroscopic view, which in turn led to our proposal of vanishing at pre.

Author : Stanley Osher
Publisher : Springer Science & Business Media
ISBN 13 : 0387218106
Total Pages : 523 pages
Book Rating : 4.06/5 ( download)

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Download or read book Geometric Level Set Methods in Imaging, Vision, and Graphics written by Stanley Osher and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is, for the first time, a book that clearly explains and applies new level set methods to problems and applications in computer vision, graphics, and imaging. It is an essential compilation of survey chapters from the leading researchers in the field. The applications of the methods are emphasized.

Author : Ron Kimmel
Publisher : Springer Science & Business Media
ISBN 13 : 0387216375
Total Pages : 222 pages
Book Rating : 4.79/5 ( download)

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Download or read book Numerical Geometry of Images written by Ron Kimmel and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.

Author : Guillermo Sapiro
Publisher : Cambridge University Press
ISBN 13 : 1139936514
Total Pages : 391 pages
Book Rating : 4.14/5 ( download)

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Download or read book Geometric Partial Differential Equations and Image Analysis written by Guillermo Sapiro and published by Cambridge University Press. This book was released on 2006-02-13 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Guillermo Sapiro
Publisher : Cambridge University Press
ISBN 13 : 0521790751
Total Pages : 415 pages
Book Rating : 4.58/5 ( download)

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Download or read book Geometric Partial Differential Equations and Image Analysis written by Guillermo Sapiro and published by Cambridge University Press. This book was released on 2001-01-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. 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 practioners. It is intened to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.

Author : Alain Connes
Publisher : Springer Science & Business Media
ISBN 13 : 9783540203575
Total Pages : 372 pages
Book Rating : 4.75/5 ( download)

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Download or read book Noncommutative Geometry written by Alain Connes and published by Springer Science & Business Media. This book was released on 2003-12-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Author : Michael Cowling
Publisher : Springer
ISBN 13 : 3540768920
Total Pages : 400 pages
Book Rating : 4.20/5 ( download)

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Download or read book Representation Theory and Complex Analysis written by Michael Cowling and published by Springer. This book was released on 2008-02-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540207283
Total Pages : 212 pages
Book Rating : 4.87/5 ( download)

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Download or read book Geometric Methods in the Algebraic Theory of Quadratic Forms written by and published by Springer Science & Business Media. This book was released on 2004 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Andras Telcs
Publisher : Springer
ISBN 13 : 3540330283
Total Pages : 193 pages
Book Rating : 4.88/5 ( download)

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Download or read book The Art of Random Walks written by Andras Telcs and published by Springer. This book was released on 2006-10-18 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to reveal connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies heat diffusion at this general level and discusses the multiplicative Einstein relation; Isoperimetric inequalities; and Heat kernel estimates; Elliptic and parabolic Harnack inequality.