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Geometric Curve Evolution and Image Processing

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Release : 2003-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 028/5 ( reviews)

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Book Synopsis Geometric Curve Evolution and Image Processing by : Frédéric Cao

Download or read book Geometric Curve Evolution and Image Processing written by Frédéric Cao. This book was released on 2003-02-27. 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.

Curve and Polygon Evolution Techniques for Image Processing

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Author :
Release : 2004
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Curve and Polygon Evolution Techniques for Image Processing by :

Download or read book Curve and Polygon Evolution Techniques for Image Processing written by . This book was released on 2004. 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.

Numerical Geometry of Images

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Release : 2012-09-07
Genre : Computers
Kind : eBook
Book Rating : 375/5 ( reviews)

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Book Synopsis Numerical Geometry of Images by : Ron Kimmel

Download or read book Numerical Geometry of Images written by Ron Kimmel. This book was released on 2012-09-07. 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.

Geometric Partial Differential Equations and Image Analysis

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Release : 2001-01-08
Genre : Computers
Kind : eBook
Book Rating : 751/5 ( reviews)

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Book Synopsis Geometric Partial Differential Equations and Image Analysis by : Guillermo Sapiro

Download or read book Geometric Partial Differential Equations and Image Analysis written by Guillermo Sapiro. This book was released on 2001-01-08. 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.

Geometric Level Set Methods in Imaging, Vision, and Graphics

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Author :
Release : 2007-05-08
Genre : Computers
Kind : eBook
Book Rating : 106/5 ( reviews)

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Book Synopsis Geometric Level Set Methods in Imaging, Vision, and Graphics by : Stanley Osher

Download or read book Geometric Level Set Methods in Imaging, Vision, and Graphics written by Stanley Osher. This book was released on 2007-05-08. 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.

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