Mathematical Nonlinear Image Processing

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Publisher : Springer Science & Business Media
ISBN 13 : 1461531489
Total Pages : 173 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Mathematical Nonlinear Image Processing by : Edward R. Dougherty

Download or read book Mathematical Nonlinear Image Processing written by Edward R. Dougherty and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Nonlinear Image Processing deals with a fast growing research area. The development of the subject springs from two factors: (1) the great expansion of nonlinear methods applied to problems in imaging and vision, and (2) the degree to which nonlinear approaches are both using and fostering new developments in diverse areas of mathematics. Mathematical Nonlinear Image Processing will be of interest to people working in the areas of applied mathematics as well as researchers in computer vision. Mathematical Nonlinear Image Processing is an edited volume of original research. It has also been published as a special issue of the Journal of Mathematical Imaging and Vision. (Volume 2, Issue 2/3).

Oscillating Patterns in Image Processing and Nonlinear Evolution Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821829202
Total Pages : 138 pages
Book Rating : 4.8/5 (292 download)

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Book Synopsis Oscillating Patterns in Image Processing and Nonlinear Evolution Equations by : Yves Meyer

Download or read book Oscillating Patterns in Image Processing and Nonlinear Evolution Equations written by Yves Meyer and published by American Mathematical Soc.. This book was released on 2001 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of ``oscillating patterns'', which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals. The first chapter of this book considers image processing, moreprecisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and theiruse in the detection of gravitational waves are covered in the final chapter. In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities. This book is based on the ``Dean Jacqueline B. Lewis Memorial Lectures'' given bythe author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously inmonograph literature.

Nonlinear Image Processing

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Publisher : Elsevier
ISBN 13 : 0080512828
Total Pages : 478 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Nonlinear Image Processing by : Giovanni Sicuranza

Download or read book Nonlinear Image Processing written by Giovanni Sicuranza and published by Elsevier. This book was released on 2000-09-15 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art book deals with the most important aspects of non-linear imaging challenges. The need for engineering and mathematical methods is essential for defining non-linear effects involved in such areas as computer vision, optical imaging, computer pattern recognition, and industrial automation challenges. - Presents the latest developments in a variety of filter design techniques and algorithms - Contains essential information for development of Human Vision Systems (HVS) - Provides foundations for digital imaging and image capture technology

An Introduction to Nonlinear Image Processing

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Publisher : SPIE Press
ISBN 13 : 9780819415608
Total Pages : 200 pages
Book Rating : 4.4/5 (156 download)

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Book Synopsis An Introduction to Nonlinear Image Processing by : Edward R. Dougherty

Download or read book An Introduction to Nonlinear Image Processing written by Edward R. Dougherty and published by SPIE Press. This book was released on 1994 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a strict semantic point of view, nonlinear image processing encompasses all image processing that is not based on linear operators; however, from a practical, evolutionary point of view, the name itself is usually associated with the study of nonlinear filters, mainly the deterministic and nondeterministic analysis and design of logic-based operators. This Tutorial Text volume explores logic-based operators with emphasis on representation, design, and statistical optimization of nonlinear filters.

Nonlinear Filters for Image Processing

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Publisher : SPIE-International Society for Optical Engineering
ISBN 13 : 9780819430335
Total Pages : 0 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis Nonlinear Filters for Image Processing by : Edward R. Dougherty

Download or read book Nonlinear Filters for Image Processing written by Edward R. Dougherty and published by SPIE-International Society for Optical Engineering. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers key mathematical principles and algorithms for nonlinear filters used in image processing. Readers will gain an in-depth understanding of the underlying mathematical and filter design methodologies needed to construct and use nonlinear filters in a variety of applications.

Image Processing and Analysis

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Publisher : SIAM
ISBN 13 : 089871589X
Total Pages : 414 pages
Book Rating : 4.8/5 (987 download)

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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.

Nonlinear Image Processing

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Publisher : Academic Press
ISBN 13 : 9780125004510
Total Pages : 480 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Nonlinear Image Processing by : Sanjit Mitra

Download or read book Nonlinear Image Processing written by Sanjit Mitra and published by Academic Press. This book was released on 2001 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art book deals with the most important aspects of non-linear imaging challenges. The need for engineering and mathematical methods is essential for defining non-linear effects involved in such areas as computer vision, optical imaging, computer pattern recognition, and industrial automation challenges.

Handbook of Mathematical Methods in Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 0387929193
Total Pages : 1626 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Handbook of Mathematical Methods in Imaging by : Otmar Scherzer

Download or read book Handbook of Mathematical Methods in Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Mathematical Methods in Image Reconstruction

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Publisher : SIAM
ISBN 13 : 0898716225
Total Pages : 226 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Methods in Image Reconstruction by : Frank Natterer

Download or read book Mathematical Methods in Image Reconstruction written by Frank Natterer and published by SIAM. This book was released on 2001-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a superior understanding of the mathematical principles behind imaging.

Logic-based Nonlinear Image Processing

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Publisher : SPIE Press
ISBN 13 : 9780819463432
Total Pages : 168 pages
Book Rating : 4.4/5 (634 download)

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Book Synopsis Logic-based Nonlinear Image Processing by : Stephen Marshall

Download or read book Logic-based Nonlinear Image Processing written by Stephen Marshall and published by SPIE Press. This book was released on 2007 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides insight into the design of optimal image processing operators for implementation directly into digital hardware. Starting with simple restoration examples and using the minimum of statistics, the book provides a design strategy for a wide range of image processing applications. The text is aimed principally at electronics engineers and computer scientists, but will also be of interest to anyone working with digital images.

Variational Methods in Image Processing

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Publisher : CRC Press
ISBN 13 : 1439849749
Total Pages : 416 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Variational Methods in Image Processing by : Luminita A. Vese

Download or read book Variational Methods in Image Processing written by Luminita A. Vese and published by CRC Press. This book was released on 2015-11-18 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler-Lagrange equations, and numerical implementations for image processing. It balances traditional computational models with more modern techniques that solve t

Mathematics in Image Processing

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Publisher : American Mathematical Soc.
ISBN 13 : 0821898418
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics in Image Processing by : Hong-Kai Zhao

Download or read book Mathematics in Image Processing written by Hong-Kai Zhao and published by American Mathematical Soc.. This book was released on 2013-06-12 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of the 2010 PCMI Summer School was Mathematics in Image Processing in a broad sense, including mathematical theory, analysis, computation algorithms and applications. In image processing, information needs to be processed, extracted and analyzed from visual content, such as photographs or videos. These demands include standard tasks such as compression and denoising, as well as high-level understanding and analysis, such as recognition and classification. Centered on the theme of mathematics in image processing, the summer school covered quite a wide spectrum of topics in this field. The summer school is particularly timely and exciting due to the very recent advances and developments in the mathematical theory and computational methods for sparse representation. This volume collects three self-contained lecture series. The topics are multi-resolution based wavelet frames and applications to image processing, sparse and redundant representation modeling of images and simulation of elasticity, biomechanics, and virtual surgery. Recent advances in image processing, compressed sensing and sparse representation are discussed.

Numerical Methods for Nonlinear Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319137972
Total Pages : 394 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Numerical Methods for Nonlinear Partial Differential Equations by : Sören Bartels

Download or read book Numerical Methods for Nonlinear Partial Differential Equations written by Sören Bartels and published by Springer. This book was released on 2015-01-19 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

Image Processing Based on Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540332677
Total Pages : 440 pages
Book Rating : 4.5/5 (43 download)

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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.

Mathematics and Computation in Imaging Science and Information Processing

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Publisher : World Scientific
ISBN 13 : 9812709061
Total Pages : 275 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Mathematics and Computation in Imaging Science and Information Processing by : Say Song Goh

Download or read book Mathematics and Computation in Imaging Science and Information Processing written by Say Song Goh and published by World Scientific. This book was released on 2007 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The explosion of data arising from rapid advances in communication, sensing and computational power has concentrated research effort on more advanced techniques for the representation, processing, analysis and interpretation of data sets. In view of these exciting developments, the program OC Mathematics and Computation in Imaging Science and Information ProcessingOCO was held at the Institute for Mathematical Sciences, National University of Singapore, from July to December 2003 and in August 2004 to promote and facilitate multidisciplinary research in the area. As part of the program, a series of tutorial lectures were conducted by international experts on a wide variety of topics in mathematical image, signal and information processing. This compiled volume contains survey articles by the tutorial speakers, all specialists in their respective areas. They collectively provide graduate students and researchers new to the field a unique and valuable introduction to a range of important topics at the frontiers of current research. Sample Chapter(s). Foreword (46 KB). Chapter 1: Subdivision on Arbitrary Meshes: Algorithms and Theory (771 KB). Contents: Subdivision on Arbitrary Meshes: Algorithms and Theory (D Zorin); High Order Numerical Methods for Time Dependent Hamilton-Jacobi Equations (C-W Shu); Theory and Computation of Variational Image Deblurring (T F Chan & J Shen); Data Hiding OCo Theory and Algorithms (P Moulin & R Koetter); Image Steganography and Steganalysis: Concepts and Practice (M Kharrazi et al.); The Apriori Algorithm OCo A Tutorial (M Hegland). Readership: Graduate students and researchers in mathematical image, signal and information processing."

Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

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Publisher :
ISBN 13 : 9783030030094
Total Pages : pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging by : Ke Chen

Download or read book Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging written by Ke Chen and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bilateral Filtering

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Publisher : Now Publishers Inc
ISBN 13 : 160198250X
Total Pages : 88 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Bilateral Filtering by : Sylvain Paris

Download or read book Bilateral Filtering written by Sylvain Paris and published by Now Publishers Inc. This book was released on 2009-08-20 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bilateral filtering is one of the most popular image processing techniques. The bilateral filter is a nonlinear process that can blur an image while respecting strong edges. Its ability to decompose an image into different scales without causing haloes after modification has made it ubiquitous in computational photography applications such as tone mapping, style transfer, relighting, and denoising. Bilateral Filtering: Theory and Applications provides a graphical, intuitive introduction to bilateral filtering, a practical guide for efficient implementation, an overview of its numerous applications, as well as mathematical analysis. This broad and detailed overview covers theoretical and practical issues that will be useful to researchers and software developers.