[PDF] Mathematics Of Digital Images eBook

Author : S. G. Hoggar
Publisher : Cambridge University Press
Page : 896 pages
File Size : 43,75 MB
Release : 2006-09-14
Category : Computers
ISBN : 9781139451352

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Compression, restoration and recognition are three of the key components of digital imaging. The mathematics needed to understand and carry out all these components are explained here in a style that is at once rigorous and practical with many worked examples, exercises with solutions, pseudocode, and sample calculations on images. The introduction lists fast tracks to special topics such as Principal Component Analysis, and ways into and through the book, which abounds with illustrations. The first part describes plane geometry and pattern-generating symmetries, along with some on 3D rotation and reflection matrices. Subsequent chapters cover vectors, matrices and probability. These are applied to simulation, Bayesian methods, Shannon's information theory, compression, filtering and tomography. The book will be suited for advanced courses or for self-study. It will appeal to all those working in biomedical imaging and diagnosis, computer graphics, machine vision, remote sensing, image processing and information theory and its applications.

Author : J M Blackledge
Publisher : Elsevier
Page : 826 pages
File Size : 21,26 MB
Release : 2005-11-30
Category : Computers
ISBN : 0857099469

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This authoritative text (the second part of a complete MSc course) provides mathematical methods required to describe images, image formation and different imaging systems, coupled with the principle techniques used for processing digital images. It is based on a course for postgraduates reading physics, electronic engineering, telecommunications engineering, information technology and computer science. This book relates the methods of processing and interpreting digital images to the ‘physics’ of imaging systems. Case studies reinforce the methods discussed, with examples of current research themes. Provides mathematical methods required to describe images, image formation and different imaging systems Outlines the principle techniques used for processing digital images Relates the methods of processing and interpreting digital images to the ‘physics’ of imaging systems

Author : S. G. Hoggar
Publisher : Cambridge University Press
Page : 854 pages
File Size : 46,96 MB
Release : 2006-09-14
Category : Computers
ISBN : 9780521780292

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This major revision of the author's popular book still focuses on foundations and proofs, but now exhibits a shift away from Topology to Probability and Information Theory (with Shannon's source and channel encoding theorems) which are used throughout. Three vital areas for the digital revolution are tackled (compression, restoration and recognition), establishing not only what is true, but why, to facilitate education and research. It will remain a valuable book for computer scientists, engineers and applied mathematicians.

Author : Alexei Sourin
Publisher : Springer Nature
Page : 248 pages
File Size : 46,42 MB
Release : 2021-06-01
Category : Computers
ISBN : 3030698351

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This textbook teaches readers how to turn geometry into an image on a computer screen. This exciting journey begins in the schools of the ancient Greek philosophers, and describes the major events that changed people’s perception of geometry. The readers will learn how to see geometry and colors beyond simple mathematical formulas and how to represent geometric shapes, transformations and motions by digital sampling of various mathematical functions. Special multiplatform visualization software developed by the author will allow readers to explore the exciting world of visual immersive mathematics, and the book software repository will provide a starting point for their own sophisticated visualization applications. Making Images with Mathematics serves as a self-contained text for a one-semester computer graphics and visualization course for computer science and engineering students, as well as a reference manual for researchers and developers.

Author : Alasdair McAndrew
Publisher : CRC Press
Page : 555 pages
File Size : 48,61 MB
Release : 2015-10-28
Category : Computers
ISBN : 148224733X

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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

Author : Tony F. Chan
Publisher : SIAM
Page : 414 pages
File Size : 29,52 MB
Release : 2005-09-01
Category : Computers
ISBN : 089871589X

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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.

Author : Claudi Alsina
Publisher : American Mathematical Soc.
Page : 173 pages
File Size : 20,90 MB
Release : 2006-12-31
Category : Mathematics
ISBN : 1614441006

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Is it possible to make mathematical drawings that help to understand mathematical ideas, proofs, and arguments? The [Author];s of this book are convinced that the answer is yes and the objective of this book is to show how some visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece, and India, but only in the last thirty years has there been a growing interest in so-called ``proofs without words''. Hundreds of these have been published in Mathematics Magazine and The College Mathematics Journal, as well as in other journals, books, and on the internet. Often a person encountering a ``proof without words'' may have the feeling that the pictures involved are the result of a serendipitous discovery or the consequence of an exceptional ingenuity on the part of the picture's creator. In this book, the [Author];s show that behind most of the pictures, ``proving'' mathematical relations are some well-understood methods. As the reader shall see, a given mathematical idea or relation may have many different images that justify it, so that depending on the teaching level or the objectives for producing the pictures, one can choose the best alternative.

Author : Steven L. Tanimoto
Publisher : MIT Press
Page : 565 pages
File Size : 42,56 MB
Release : 2012-04-27
Category : Computers
ISBN : 0262300613

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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.

Author : Reinhard Klette
Publisher : Morgan Kaufmann
Page : 676 pages
File Size : 20,66 MB
Release : 2004-08-06
Category : Computers
ISBN : 1558608613

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The first book on digital geometry by the leaders in the field.

Author : Melissa Terras
Publisher : Routledge
Page : 378 pages
File Size : 11,52 MB
Release : 2016-12-05
Category : Language Arts & Disciplines
ISBN : 1351944088

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In the past decade, the way image based media is created, disseminated, and shared has changed exponentially, as digital imaging technology has replaced traditional film based media. Digital images have become the pervasive photographic medium of choice for the general public. Most libraries, archives, museums, and galleries have undertaken some type of digitisation program: converting their holdings into two dimensional digital images which are available for the general user via the Internet. This raises issues for those aiming to facilitate the creation and preservation of digital images whilst supplying and improving user access to image based material. Digital Images for the Information Professional provides an overview of the place of images in the changing information environment, and the use, function, and appropriation of digital images in both institutional and personal settings. Covering the history, technical underpinnings, sustainability, application, and management of digital images, the text is an accessible guide to both established and developing imaging technologies, providing those within the information sector with essential background knowledge of this increasingly ubiquitous medium.