An Image Processing Tour Of College Mathematics

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An Image Processing Tour of College Mathematics

Author : Yevgeniy V. Galperin
Publisher : CRC Press
ISBN 13 : 0429683227
Total Pages : 349 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis An Image Processing Tour of College Mathematics by : Yevgeniy V. Galperin

Download or read book An Image Processing Tour of College Mathematics written by Yevgeniy V. Galperin and published by CRC Press. This book was released on 2021-02-10 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Image Processing Tour of College Mathematics aims to provide meaningful context for reviewing key topics of the college mathematics curriculum, to help students gain confidence in using concepts and techniques of applied mathematics, to increase student awareness of recent developments in mathematical sciences, and to help students prepare for graduate studies. The topics covered include a library of elementary functions, basic concepts of descriptive statistics, probability distributions of functions of random variables, definitions and concepts behind first- and second-order derivatives, most concepts and techniques of traditional linear algebra courses, an introduction to Fourier analysis, and a variety of discrete wavelet transforms – all of that in the context of digital image processing. Features Pre-calculus material and basic concepts of descriptive statistics are reviewed in the context of image processing in the spatial domain. Key concepts of linear algebra are reviewed both in the context of fundamental operations with digital images and in the more advanced context of discrete wavelet transforms. Some of the key concepts of probability theory are reviewed in the context of image equalization and histogram matching. The convolution operation is introduced painlessly and naturally in the context of naïve filtering for denoising and is subsequently used for edge detection and image restoration. An accessible elementary introduction to Fourier analysis is provided in the context of image restoration. Discrete wavelet transforms are introduced in the context of image compression, and the readers become more aware of some of the recent developments in applied mathematics. This text helps students of mathematics ease their way into mastering the basics of scientific computer programming.

Mathematics in Image Processing

Author : Hong-Kai Zhao
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.

An Interdisciplinary Introduction to Image Processing

Author : Steven L. Tanimoto
Publisher : MIT Press
ISBN 13 : 0262300613
Total Pages : 565 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis An Interdisciplinary Introduction to Image Processing by : Steven L. Tanimoto

Download or read book An Interdisciplinary Introduction to Image Processing written by Steven L. Tanimoto and published by MIT Press. This book was released on 2012-04-27 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic principles of image processing and programming explained without college-level mathematics. This book explores image processing from several perspectives: the creative, the theoretical (mainly mathematical), and the programmatical. It explains the basic principles of image processing, drawing on key concepts and techniques from mathematics, psychology of perception, computer science, and art, and introduces computer programming as a way to get more control over image processing operations. It does so without requiring college-level mathematics or prior programming experience. The content is supported by PixelMath, a freely available software program that helps the reader understand images as both visual and mathematical objects. The first part of the book covers such topics as digital image representation, sampling, brightness and contrast, color models, geometric transformations, synthesizing images, stereograms, photomosaics, and fractals. The second part of the book introduces computer programming using an open-source version of the easy-to-learn Python language. It covers the basics of image analysis and pattern recognition, including edge detection, convolution, thresholding, contour representation, and K-nearest-neighbor classification. A chapter on computational photography explores such subjects as high-dynamic-range imaging, autofocusing, and methods for automatically inpainting to fill gaps or remove unwanted objects in a scene. Applications described include the design and implementation of an image-based game. The PixelMath software provides a “transparent” view of digital images by allowing the user to view the RGB values of pixels by zooming in on an image. PixelMath provides three interfaces: the pixel calculator; the formula page, an advanced extension of the calculator; and the Python window.

A Computational Introduction to Digital Image Processing

Author : Alasdair McAndrew
Publisher : CRC Press
ISBN 13 : 148224733X
Total Pages : 555 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis A Computational Introduction to Digital Image Processing by : Alasdair McAndrew

Download or read book A Computational Introduction to Digital Image Processing written by Alasdair McAndrew and published by CRC Press. This book was released on 2015-10-28 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly Regarded, Accessible Approach to Image Processing Using Open-Source and Commercial SoftwareA Computational Introduction to Digital Image Processing, Second Edition explores the nature and use of digital images and shows how they can be obtained, stored, and displayed. Taking a strictly elementary perspective, the book only covers topics that

Mathematical Problems in Image Processing

Author : Gilles Aubert
Publisher : Springer Science & Business Media
ISBN 13 : 0387217665
Total Pages : 288 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematical Problems in Image Processing by : Gilles Aubert

Download or read book Mathematical Problems in Image Processing written by Gilles Aubert and published by Springer Science & Business Media. This book was released on 2008-04-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations and variational methods were introduced into image processing about 15 years ago, and intensive research has been carried out since then. The main goal of this work is to present the variety of image analysis applications and the precise mathematics involved. It is intended for two audiences. The first is the mathematical community, to show the contribution of mathematics to this domain and to highlight some unresolved theoretical questions. The second is the computer vision community, to present a clear, self-contained, and global overview of the mathematics involved in image processing problems. The book is divided into five main parts. Chapter 1 is a detailed overview. Chapter 2 describes and illustrates most of the mathematical notions found throughout the work. Chapters 3 and 4 examine how PDEs and variational methods can be successfully applied in image restoration and segmentation processes. Chapter 5, which is more applied, describes some challenging computer vision problems, such as sequence analysis or classification. This book will be useful to researchers and graduate students in mathematics and computer vision.

Image Processing

Author : Jonathan M. Blackledge
Publisher :
ISBN 13 :
Total Pages : 548 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Image Processing by : Jonathan M. Blackledge

Download or read book Image Processing written by Jonathan M. Blackledge and published by . This book was released on 1997 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital image processing technology has developed markedly over the last ten years, and more and more information is being conveyed through its display and analysis. The way in which image data is stored and processed is fundamental to all aspects of information technology. Examples include remote sensing using digital satellites; making diagnoses using conventional X-ray computed tomography; and research into the behavior of the human brain using magnetic resonance imaging. This book consists of twenty-one papers that collectively cover a broad range of image processing problems and the way in which their solutions are used in different areas of science and technology. The papers present details of the ways computers of varying processing power can be programmed to store images efficiently, resolve features and patterns that are either time consuming or impossible for humans to interpret, and develop machines that can "see" like humans. They also discuss a wide range of applications, including the use of lasers for studying dynamic behavior of mechanical components, and fractal geometry for recognizing patterns. The book will be useful to any engineer, scientist, and technologist interested in current research issues in image processing.

An Interdisciplinary Introduction to Image Processing

Author : Steven Tanimoto
Publisher : MIT Press (MA)
ISBN 13 : 9780262301398
Total Pages : 544 pages
Book Rating : 4.3/5 (13 download)

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Book Synopsis An Interdisciplinary Introduction to Image Processing by : Steven Tanimoto

Download or read book An Interdisciplinary Introduction to Image Processing written by Steven Tanimoto and published by MIT Press (MA). This book was released on 2012 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores image processing from several perspectives: the creative, the theoretical (mainly mathematical), and the programmatical. It explains the basic principles of image processing, drawing on key concepts and techniques from mathematics, psychology of perception, computer science, and art, and introduces computer programming as a way to get more control over image processing operations. It does so without requiring college-level mathematics or prior programming experience. The content is supported by PixelMath, a freely available software program that helps the reader understand images as both visual and mathematical objects. The first part of the book covers such topics as digital image representation, sampling, brightness and contrast, color models, geometric transformations, synthesizing images, stereograms, photomosaics, and fractals. The second part of the book introduces computer programming using an open-source version of the easy-to-learn Python language. It covers the basics of image analysis and pattern recognition, including edge detection, convolution, thresholding, contour representation, and K-nearest-neighbor classification. A chapter on computational photography explores such subjects as high-dynamic-range imaging, autofocusing, and methods for automatically inpainting to fill gaps or remove unwanted objects in a scene. Applications described include the design and implementation of an image-based game. The PixelMath software provides a "transparent" view of digital images by allowing the user to view the RGB values of pixels by zooming in on an image. PixelMath provides three interfaces: the pixel calculator; the formula page, an advanced extension of the calculator; and the Python window.

Image Processing and Analysis

Author : Tony F. Chan
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.

Mathematics of Shape Description

Author : Pijush K. Ghosh
Publisher : John Wiley & Sons
ISBN 13 : 0470823089
Total Pages : 272 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Mathematics of Shape Description by : Pijush K. Ghosh

Download or read book Mathematics of Shape Description written by Pijush K. Ghosh and published by John Wiley & Sons. This book was released on 2009-03-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image processing problems are often not well defined because real images are contaminated with noise and other uncertain factors. In Mathematics of Shape Description, the authors take a mathematical approach to address these problems using the morphological and set-theoretic approach to image processing and computer graphics by presenting a simple shape model using two basic shape operators called Minkowski addition and decomposition. This book is ideal for professional researchers and engineers in Information Processing, Image Measurement, Shape Description, Shape Representation and Computer Graphics. Post-graduate and advanced undergraduate students in pure and applied mathematics, computer sciences, robotics and engineering will also benefit from this book. Key Features Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach Promotes interaction of image processing geochronology and mathematics in the field of algebraic geometry Provides a shape description scheme that is a notational system for the shape of objects Offers a thorough and detailed discussion on the mathematical characteristics and significance of the Minkowski operators

Mathematical Foundations of Image Processing and Analysis

Author : Jean-Charles Pinoli
Publisher : John Wiley & Sons
ISBN 13 : 1118984552
Total Pages : 496 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Mathematical Foundations of Image Processing and Analysis by : Jean-Charles Pinoli

Download or read book Mathematical Foundations of Image Processing and Analysis written by Jean-Charles Pinoli and published by John Wiley & Sons. This book was released on 2014-07-22 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Imaging is currently a rapidly growing field inapplied mathematics, with an increasing need for theoreticalmathematics. This book, the second of two volumes, emphasizes the role ofmathematics as a rigorous basis for imaging sciences. It provides acomprehensive and convenient overview of the key mathematicalconcepts, notions, tools and frameworks involved in the variousfields of gray-tone and binary image processing and analysis, byproposing a large, but coherent, set of symbols and notations, acomplete list of subjects and a detailed bibliography. Itestablishes a bridge between the pure and applied mathematicaldisciplines, and the processing and analysis of gray-tone andbinary images. It is accessible to readers who have neitherextensive mathematical training, nor peer knowledge in ImageProcessing and Analysis. It is a self-contained book focusing on the mathematicalnotions, concepts, operations, structures, and frameworks that arebeyond or involved in Image Processing and Analysis. The notationsare simplified as far as possible in order to be more explicativeand consistent throughout the book and the mathematical aspects aresystematically discussed in the image processing and analysiscontext, through practical examples or concrete illustrations.Conversely, the discussed applicative issues allow the role ofmathematics to be highlighted. Written for a broad audience – students, mathematicians,image processing and analysis specialists, as well as otherscientists and practitioners – the author hopes that readerswill find their own way of using the book, thus providing amathematical companion that can help mathematicians become morefamiliar with image processing and analysis, and likewise, imageprocessing and image analysis scientists, researchers and engineersgain a deeper understanding of mathematical notions andconcepts.

Mathematical Morphology in Image Processing

Author : Edward Dougherty
Publisher : CRC Press
ISBN 13 : 1351830503
Total Pages : 355 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Mathematical Morphology in Image Processing by : Edward Dougherty

Download or read book Mathematical Morphology in Image Processing written by Edward Dougherty and published by CRC Press. This book was released on 2018-10-03 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the statistical analysis of morphological filters and their automatic optical design, the development of morphological features for image signatures, and the design of efficient morphological algorithms. Extends the morphological paradigm to include other branches of science and mathematics.;This book is designed to be of interest to optical, electrical and electronics, and electro-optic engineers, including image processing, signal processing, machine vision, and computer vision engineers, applied mathematicians, image analysts and scientists and graduate-level students in image processing and mathematical morphology courses.

Mathematical Image Processing

Author : Kristian Bredies
Publisher : Birkhäuser
ISBN 13 : 9783030014575
Total Pages : 473 pages
Book Rating : 4.0/5 (145 download)

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Book Synopsis Mathematical Image Processing by : Kristian Bredies

Download or read book Mathematical Image Processing written by Kristian Bredies and published by Birkhäuser. This book was released on 2019-02-28 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the mathematical aspects of modern image processing methods, with a special emphasis on the underlying ideas and concepts. It discusses a range of modern mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring, enhancing, edge detection and inpainting. In addition to elementary methods like point operations, linear and morphological methods, and methods based on multiscale representations, the book also covers more recent methods based on partial differential equations and variational methods. Review of the German Edition: The overwhelming impression of the book is that of a very professional presentation of an appropriately developed and motivated textbook for a course like an introduction to fundamentals and modern theory of mathematical image processing. Additionally, it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch)

Image Processing and Mathematical Morphology

Author : Frank Y. Shih
Publisher : CRC Press
ISBN 13 : 1351834444
Total Pages : 439 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Image Processing and Mathematical Morphology by : Frank Y. Shih

Download or read book Image Processing and Mathematical Morphology written by Frank Y. Shih and published by CRC Press. This book was released on 2017-07-12 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the development of digital multimedia, the importance and impact of image processing and mathematical morphology are well documented in areas ranging from automated vision detection and inspection to object recognition, image analysis and pattern recognition. Those working in these ever-evolving fields require a solid grasp of basic fundamentals, theory, and related applications—and few books can provide the unique tools for learning contained in this text. Image Processing and Mathematical Morphology: Fundamentals and Applications is a comprehensive, wide-ranging overview of morphological mechanisms and techniques and their relation to image processing. More than merely a tutorial on vital technical information, the book places this knowledge into a theoretical framework. This helps readers analyze key principles and architectures and then use the author’s novel ideas on implementation of advanced algorithms to formulate a practical and detailed plan to develop and foster their own ideas. The book: Presents the history and state-of-the-art techniques related to image morphological processing, with numerous practical examples Gives readers a clear tutorial on complex technology and other tools that rely on their intuition for a clear understanding of the subject Includes an updated bibliography and useful graphs and illustrations Examines several new algorithms in great detail so that readers can adapt them to derive their own solution approaches This invaluable reference helps readers assess and simplify problems and their essential requirements and complexities, giving them all the necessary data and methodology to master current theoretical developments and applications, as well as create new ones.

Binary Digital Image Processing

Author : Stéphane Marchand-Maillet
Publisher : Elsevier
ISBN 13 : 9780080527826
Total Pages : 368 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis Binary Digital Image Processing by : Stéphane Marchand-Maillet

Download or read book Binary Digital Image Processing written by Stéphane Marchand-Maillet and published by Elsevier. This book was released on 1999-12-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Binary Digital Image Processing is aimed at faculty, postgraduate students and industry specialists. It is both a text reference and a textbook that reviews and analyses the research output in this field of binary image processing. It is aimed at both advanced researchers as well as educating the novice to this area. The theoretical part of this book includes the basic principles required for binary digital image analysis. The practical part which will take an algorithmic approach addresses problems which find applications beyond binary digital line image processing. The book first outlines the theoretical framework underpinning the study of digital image processing with particular reference to those needed for line image processing. The theoretical tools in the first part of the book set the stage for the second and third parts, where low-level binary image processing is addressed and then intermediate level processing of binary line images is studied. The book concludes with some practical applications of this work by reviewing some industrial and software applications (engineering drawing storage and primitive extraction, fingerprint compression). Outlines the theoretical framework underpinning the study of digital image processing with particular reference to binary line image processing Addresses low-level binary image processing, reviewing a number of essential characteristics of binary digital images and providing solution procedures and algorithms Includes detailed reviews of topics in binary digital image processing with up-to-date research references in relation to each of the problems under study Includes some practical applications of this work by reviewing some common applications Covers a range of topics, organised by theoretical field rather than being driven by problem definitions

Variational Methods in Image Processing

Author : Luminita A. Vese
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

Digital Image Processing

Author : Uvais Qidwai
Publisher : CRC Press
ISBN 13 : 1420079514
Total Pages : 316 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Digital Image Processing by : Uvais Qidwai

Download or read book Digital Image Processing written by Uvais Qidwai and published by CRC Press. This book was released on 2009-10-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Avoiding heavy mathematics and lengthy programming details, Digital Image Processing: An Algorithmic Approach with MATLAB presents an easy methodology for learning the fundamentals of image processing. The book applies the algorithms using MATLAB, without bogging down students with syntactical and debugging issues.One chapter can typically be compl

Mathematical Nonlinear Image Processing

Author : Edward R. Dougherty
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).