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Partial Differential Equations And Geometry Driven Diffusion In Image Processing And Analysis
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Book Synopsis Partial Differential Equations and Geometry-driven Diffusion in Image Processing and Analysis by : Vicent Caselles
Download or read book Partial Differential Equations and Geometry-driven Diffusion in Image Processing and Analysis written by Vicent Caselles and published by . This book was released on 1998 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Special Issue on Partial Differential Equations and Geometry-driven Diffusion in Image Processing and Analysis by :
Download or read book Special Issue on Partial Differential Equations and Geometry-driven Diffusion in Image Processing and Analysis written by and published by . This book was released on 1998 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure and Geometry in Partial Differential Equations for Image Processing and Analysis by :
Download or read book Structure and Geometry in Partial Differential Equations for Image Processing and Analysis written by and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We first describe results on shape-base image contrast enhancement. This work shows how to perform local contrast enhancement while preserving the shapes in the image. We have transferred this software to Dr. Szymczak from Physical Acoustics at the Naval Research Laboratory for testing on underwater laser images (LIDAR). We then show a novel approach to anisotropic diffusion. This approach is based on robust statistics, and in particular, in the theory of influence functions. This technique is, for example, of particular significance for image denoising prior to segmentation. We conclude this document with a description of a novel technique of incorporating prior information in anisotropic diffusion. The idea is to use Bayes rule to compute posterior distributions, and then, regularize those distributions via partial differential equations before the MAP is computed. Although a number of results have already been obtained in these areas, the work described in this document is still in progress. As was mentioned above, we want to extend the work on shape-preserving contrast enhancement to include additional definitions of shape and adapt it to specific applications. We are also planing to extend the robust framework for anisotropic diffusion to vector-valued data, and investigate fast implementations. We plan to further investigate the underlying theory of the posterior diffusion work, and to apply it to additional problems. The work described in this document opens a number of theoretical questions that we plan to address as well.
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 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.
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 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.
Book Synopsis Image Processing and Analysis by : Tony F. Chan
Download or read book Image Processing and Analysis written by Tony F. Chan and published by SIAM. This book was released on 2005-09-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the mathematical foundation of modern image processing and low-level computer vision, bridging contemporary mathematics with state-of-the-art methodologies in modern image processing, whilst organizing contemporary literature into a coherent and logical structure. The authors have integrated the diversity of modern image processing approaches by revealing the few common threads that connect them to Fourier and spectral analysis, the machinery that image processing has been traditionally built on. The text is systematic and well organized: the geometric, functional, and atomic structures of images are investigated, before moving to a rigorous development and analysis of several image processors. The book is comprehensive and integrative, covering the four most powerful classes of mathematical tools in contemporary image analysis and processing while exploring their intrinsic connections and integration. The material is balanced in theory and computation, following a solid theoretical analysis of model building and performance with computational implementation and numerical examples.
Book Synopsis Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2 by :
Download or read book Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2 written by and published by Elsevier. This book was released on 2019-10-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2, Volume 20, surveys the contemporary developments relating to the analysis and learning of images, shapes and forms, covering mathematical models and quick computational techniques. Chapter cover Alternating Diffusion: A Geometric Approach for Sensor Fusion, Generating Structured TV-based Priors and Associated Primal-dual Methods, Graph-based Optimization Approaches for Machine Learning, Uncertainty Quantification and Networks, Extrinsic Shape Analysis from Boundary Representations, Efficient Numerical Methods for Gradient Flows and Phase-field Models, Recent Advances in Denoising of Manifold-Valued Images, Optimal Registration of Images, Surfaces and Shapes, and much more. Covers contemporary developments relating to the analysis and learning of images, shapes and forms Presents mathematical models and quick computational techniques relating to the topic Provides broad coverage, with sample chapters presenting content on Alternating Diffusion and Generating Structured TV-based Priors and Associated Primal-dual Methods
Book Synopsis Partial Differential Equation Methods for Image Inpainting by : Carola-Bibiane Schönlieb
Download or read book Partial Differential Equation Methods for Image Inpainting written by Carola-Bibiane Schönlieb and published by Cambridge University Press. This book was released on 2015-10-26 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with digital image processing techniques that use partial differential equations (PDEs) for the task of image 'inpainting', an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDEs to automate this task. This book introduces the mathematical concept of PDEs for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real-world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate students in mathematics with an interest in image processing and mathematical analysis.
Book Synopsis Image Processing Based on Partial Differential Equations by : Xue-Cheng Tai
Download or read book Image Processing Based on Partial Differential Equations written by Xue-Cheng Tai and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book publishes a collection of original scientific research articles that address the state-of-art in using partial differential equations for image and signal processing. Coverage includes: level set methods for image segmentation and construction, denoising techniques, digital image inpainting, image dejittering, image registration, and fast numerical algorithms for solving these problems.
Book Synopsis Geometry-Driven Diffusion in Computer Vision by : Bart M. Haar Romeny
Download or read book Geometry-Driven Diffusion in Computer Vision written by Bart M. Haar Romeny and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scale is a concept the antiquity of which can hardly be traced. Certainly the familiar phenomena that accompany sc ale changes in optical patterns are mentioned in the earliest written records. The most obvious topological changes such as the creation or annihilation of details have been a topic to philosophers, artists and later scientists. This appears to of fascination be the case for all cultures from which extensive written records exist. For th instance, chinese 17 c artist manuals remark that "distant faces have no eyes" . The merging of details is also obvious to many authors, e. g. , Lucretius mentions the fact that distant islands look like a single one. The one topo logical event that is (to the best of my knowledge) mentioned only late (by th John Ruskin in his "Elements of drawing" of the mid 19 c) is the splitting of a blob on blurring. The change of images on a gradual increase of resolu tion has been a recurring theme in the arts (e. g. , the poetic description of the distant armada in Calderon's The Constant Prince) and this "mystery" (as Ruskin calls it) is constantly exploited by painters.
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 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.
Book Synopsis Anisotropic Diffusion by : Fouad Sabry
Download or read book Anisotropic Diffusion written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-04-28 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Anisotropic Diffusion In image processing and computer vision, anisotropic diffusion, also called Perona-Malik diffusion, is a technique aiming at reducing image noise without removing significant parts of the image content, typically edges, lines or other details that are important for the interpretation of the image. Anisotropic diffusion resembles the process that creates a scale space, where an image generates a parameterized family of successively more and more blurred images based on a diffusion process. Each of the resulting images in this family are given as a convolution between the image and a 2D isotropic Gaussian filter, where the width of the filter increases with the parameter. This diffusion process is a linear and space-invariant transformation of the original image. Anisotropic diffusion is a generalization of this diffusion process: it produces a family of parameterized images, but each resulting image is a combination between the original image and a filter that depends on the local content of the original image. As a consequence, anisotropic diffusion is a non-linear and space-variant transformation of the original image. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Anisotropic diffusion Chapter 2: Fick's laws of diffusion Chapter 3: Diffusion equation Chapter 4: Heat equation Chapter 5: Navier-Stokes equations Chapter 6: Total variation Chapter 7: Divergence Chapter 8: Laplace operator Chapter 9: Curl (mathematics) Chapter 10: Divergence theorem (II) Answering the public top questions about anisotropic diffusion. (III) Real world examples for the usage of anisotropic diffusion 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 Anisotropic Diffusion.
Book Synopsis Computer Vision - ECCV 2002 by : Anders Heyden
Download or read book Computer Vision - ECCV 2002 written by Anders Heyden and published by Springer. This book was released on 2003-08-01 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: Premiering in 1990 in Antibes, France, the European Conference on Computer Vision, ECCV, has been held biennially at venues all around Europe. These conferences have been very successful, making ECCV a major event to the computer vision community. ECCV 2002 was the seventh in the series. The privilege of organizing it was shared by three universities: The IT University of Copenhagen, the University of Copenhagen, and Lund University, with the conference venue in Copenhagen. These universities lie ̈ geographically close in the vivid Oresund region, which lies partly in Denmark and partly in Sweden, with the newly built bridge (opened summer 2000) crossing the sound that formerly divided the countries. We are very happy to report that this year’s conference attracted more papers than ever before, with around 600 submissions. Still, together with the conference board, we decided to keep the tradition of holding ECCV as a single track conference. Each paper was anonymously refereed by three different reviewers. For the ?nal selection, for the ?rst time for ECCV, a system with area chairs was used. These met with the program chairsinLundfortwodaysinFebruary2002toselectwhatbecame45oralpresentations and 181 posters.Also at this meeting the selection was made without knowledge of the authors’identity.
Book Synopsis Computer Vision - ACCV'98 by : Roland Chin
Download or read book Computer Vision - ACCV'98 written by Roland Chin and published by Springer Science & Business Media. This book was released on 1998 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes constitute the refereed proceedings of the Third Asian Conference on Computer Vision, ACCV'98, held in Hong Kong, China, in January 1998. The volumes present together a total of 58 revised full papers and 112 revised posters selected from over 300 submissions. The papers are organized in topical sections on biometry, physics-based vision, color vision, robot vision and navigation, OCR and applications, low-level processing, active vision, face and hand posture recognition, segmentation and grouping, computer vision and virtual reality, motion analysis, and object recognition and modeling.
Book Synopsis Handbook of Numerical Analysis by : Philippe G. Ciarlet
Download or read book Handbook of Numerical Analysis written by Philippe G. Ciarlet and published by Gulf Professional Publishing. This book was released on 1990 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamical Systems, Control, Coding, Computer Vision by : Giorgio Picci
Download or read book Dynamical Systems, Control, Coding, Computer Vision written by Giorgio Picci and published by Birkhäuser. This book was released on 2012-12-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of essays devoted in part to new research direc tions in systems, networks, and control theory, and in part to the growing interaction of these disciplines with new sectors of engineering and applied sciences like coding, computer vision, and hybrid systems. These are new areas of rapid growth and of increasing importance in modern technology. The essays, written by world-leading experts in the field, reproduce and expand the plenary and minicoursejminisymposia invited lectures which were delivered at the Mathematical Theory of Networks and Systems Sym posium (MTNS-98), held in Padova, Italy, on July 6-10, 1998. Systems, control, and networks theory has permeated the development of much of present day technology. The impact has been visible in the past fifty years through the dramatic expansion and achievements of the aerospace and avionics industry, through process control and factory au tomation, robotics, communication signals analysis and synthesis, and, more recently, even finance, to name just the most visible applications. The theory has developed from the early phase of its history when the ba sic tools were elementary complex analysis, Laplace transform, and linear differential equations, to present day, where the mathematics ranges widely from functional analysis, PDE's, abstract algebra, stochastic processes and differential geometry. Irrespective of the particular tools, however, the ba sic unifying paradigms of feedback, stability, optimal control, and recursive filtering, have remained the bulk of the field and continue to be the basic motivation for the theory, coming from the real world.
Book Synopsis Artificial Intelligence and Computational Intelligence by : Hepu Deng
Download or read book Artificial Intelligence and Computational Intelligence written by Hepu Deng and published by Springer. This book was released on 2011-09-25 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume proceedings contains revised selected papers from the Second International Conference on Artificial Intelligence and Computational Intelligence, AICI 2011, held in Taiyuan, China, in September 2011. The total of 265 high-quality papers presented were carefully reviewed and selected from 1073 submissions. The topics of Part III covered are: machine vision; natural language processing; nature computation; neural computation; neural networks; particle swarm optimization; pattern recognition; rough set theory; and support vector machine.
