Mathematical Nonlinear Image Processing

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Mathematical Nonlinear Image Processing

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Author : Edward R. Dougherty
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Nonlinear Image Processing written by Edward R. Dougherty and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.

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).

An Introduction To Nonlinear Image Processing

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Author : Edward R. Dougherty
language : en
Publisher: SPIE Press
Release Date : 1994

An Introduction To Nonlinear Image Processing written by Edward R. Dougherty and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Technology & Engineering categories.

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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Author : Edward R. Dougherty
language : en
Publisher: SPIE Press
Release Date : 1999

Nonlinear Filters For Image Processing written by Edward R. Dougherty and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.

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. The 11 chapters explore topics of contemporary interest as well as fundamentals drawn from nonlinear filtering's historical roots in mathematical morphology and digital signal processing. This book examines various filter options and the types of applications for which they are best suited. The presentation is rigorous, yet accessible to engineers with a solid background in mathematics.

Nonlinear Image Processing

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Author : Giovanni Sicuranza
language : en
Publisher: Academic Press
Release Date : 2001

Nonlinear Image Processing written by Giovanni Sicuranza and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.

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.

Nonlinear Image Processing

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Author :
language : en
Publisher:
Release Date : 1998

Nonlinear Image Processing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Digital filters (Mathematics) categories.

Logic Based Nonlinear Image Processing

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Author : Stephen Marshall
language : en
Publisher: SPIE Press
Release Date : 2007

Logic Based Nonlinear Image Processing written by Stephen Marshall and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computers categories.

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.

Digital Image Processing Analysis And Computer Vision Using Nonlinear Partial Differential Equations

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Author : Tudor Barbu
language : en
Publisher: Springer Nature
Release Date : 2025-05-10

Digital Image Processing Analysis And Computer Vision Using Nonlinear Partial Differential Equations written by Tudor Barbu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-10 with Technology & Engineering categories.

This book provides an overview of the applications of partial differential equations (PDEs) to image processing, analysis, and computer vision domains, focusing mainly on the most important contributions of the author in these closely related fields. It addresses almost all the PDE-based image processing and analysis areas, and the connections between partial differential equations, computer vision, and artificial intelligence: PDE-based image filtering, inpainting, compression, segmentation, content-based recognition, indexing and retrieval, and video object detection and tracking, energy-based (variational) and nonlinear diffusion-based models of second and fourth order, nonlinear PDE-based scale-spaces in combination to convolutional neural networks and high-level descriptors to perform edge and feature extraction.

Mathematical Modeling Estimation And Imaging

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Author : David C. Wilson
language : en
Publisher: SPIE-International Society for Optical Engineering
Release Date : 2000

Mathematical Modeling Estimation And Imaging written by David C. Wilson and has been published by SPIE-International Society for Optical Engineering this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.

Mathematical Morphology Nonlinear Image Processing

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Author : Ioannis Andreadis
language : en
Publisher:
Release Date : 2000

Mathematical Morphology Nonlinear Image Processing written by Ioannis Andreadis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Nonlinear Eigenproblems In Image Processing And Computer Vision

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Author : Guy Gilboa
language : en
Publisher: Springer
Release Date : 2018-03-29

Nonlinear Eigenproblems In Image Processing And Computer Vision written by Guy Gilboa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-29 with Computers categories.

This unique text/reference presents a fresh look at nonlinear processing through nonlinear eigenvalue analysis, highlighting how one-homogeneous convex functionals can induce nonlinear operators that can be analyzed within an eigenvalue framework. The text opens with an introduction to the mathematical background, together with a summary of classical variational algorithms for vision. This is followed by a focus on the foundations and applications of the new multi-scale representation based on non-linear eigenproblems. The book then concludes with a discussion of new numerical techniques for finding nonlinear eigenfunctions, and promising research directions beyond the convex case. Topics and features: introduces the classical Fourier transform and its associated operator and energy, and asks how these concepts can be generalized in the nonlinear case; reviews the basic mathematical notion, briefly outlining the use of variational and flow-based methods to solve image-processing and computer vision algorithms; describes the properties of the total variation (TV) functional, and how the concept of nonlinear eigenfunctions relate to convex functionals; provides a spectral framework for one-homogeneous functionals, and applies this framework for denoising, texture processing and image fusion; proposes novel ways to solve the nonlinear eigenvalue problem using special flows that converge to eigenfunctions; examines graph-based and nonlocal methods, for which a TV eigenvalue analysis gives rise to strong segmentation, clustering and classification algorithms; presents an approach to generalizing the nonlinear spectral concept beyond the convex case, based on pixel decay analysis; discusses relations to other branches of image processing, such as wavelets and dictionary based methods. This original work offers fascinating new insights into established signal processing techniques, integrating deep mathematical concepts from a range of different fields, which will be of great interest to all researchers involved with image processing and computer vision applications, as well as computations for more general scientific problems.