Mathematical Problems In Image Processing
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Mathematical Problems In Image Processing
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Author : Gilles Aubert
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-06
Mathematical Problems In Image Processing written by Gilles Aubert 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 2008-04-06 with Mathematics categories.
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.
Mathematical Methods In Image Processing And Inverse Problems
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Author : Xue-Cheng Tai
language : en
Publisher: Springer Nature
Release Date : 2021-09-25
Mathematical Methods In Image Processing And Inverse Problems written by Xue-Cheng Tai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-25 with Mathematics categories.
This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.
Image Processing And Analysis
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Author : Tony F. Chan
language : en
Publisher: SIAM
Release Date : 2005-09-01
Image Processing And Analysis written by Tony F. Chan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-01 with Computers categories.
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.
Mathematical Problems In Image Processing
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Author : Gilles Aubert
language : en
Publisher:
Release Date : 2006
Mathematical Problems In Image Processing written by Gilles Aubert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Calculus of variations categories.
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. This book will be useful to researchers and graduate students in mathematics and computer vision.
Variational Methods In Image Processing
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Author : Luminita A. Vese
language : en
Publisher: CRC Press
Release Date : 2015-11-18
Variational Methods In Image Processing written by Luminita A. Vese and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-18 with Computers categories.
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 the latest challenges introduced by new image acquisition devices. The book addresses the most important problems in image processing along with other related problems and applications. Each chapter presents the problem, discusses its mathematical formulation as a minimization problem, analyzes its mathematical well-posedness, derives the associated Euler–Lagrange equations, describes the numerical approximations and algorithms, explains several numerical results, and includes a list of exercises. MATLAB® codes are available online. Filled with tables, illustrations, and algorithms, this self-contained textbook is primarily for advanced undergraduate and graduate students in applied mathematics, scientific computing, medical imaging, computer vision, computer science, and engineering. It also offers a detailed overview of the relevant variational models for engineers, professionals from academia, and those in the image processing industry.
Image Processing
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Author : Jonathan M. Blackledge
language : en
Publisher:
Release Date : 1997
Image Processing written by Jonathan M. Blackledge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
The generation, storage and processing of digital images plays a fundamental role in the information technology revolution. Digital imaging processing technology has developed markedly over the last ten years and more and more information is being conveyed through the display and analysis of digital images. The way in which image data is stored and processed is fundamental to all aspects of IT. Examples include remote sensing using the new generation of digital satellites which carry a range of different sensors that, when coupled with suitable image processing technology, can provide a wealth of information to geologists, geographers and atmospheric physicists used in everything from the exploration of oil and other natural resources to environmental monitoring and agricultural development in the Third World. Other examples include the use of image processing in medical imaging for use in diagnosis using conventional X-ray Computed Tomography to research into the behaviour of the human brain using real time Magnetic Resonance Imaging. This book consists of twenty-one papers which collectively cover a broad range of image processing problems and the way on which solutions to these problems are used in different area of sciences and technology. The papers present details of the way in which computers of varying processing power can be programmed to store image efficiently, resolve features and patterns in an image that are either time consuming or impossible for human interpreters and develop machines that can `see', like humans. The book covers a wide range of applications which include the use of lasers for studying the dynamic behaviour of mechanical components, overviews of image processing in remote sensing and medical imaging and the application of a new form of geometry (fractal geometry) for rcognizing patterns which is not possible with conventional data processing. The book will be of value to any engineer, scientists and technologist who wants to acquire information on current research issues in image processing by reading a set of papers prepared by some of the world's leading specialists.
Digital Image Processing
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Author : J M Blackledge
language : en
Publisher: Elsevier
Release Date : 2005-11-30
Digital Image Processing written by J M Blackledge and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-30 with Computers categories.
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
Mathematical Methods In Computer Vision
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Author : Peter J. Olver
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10
Mathematical Methods In Computer Vision written by Peter J. Olver 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 2003-10 with Business & Economics categories.
"Comprises some of the key work presented at two IMA Wokshops on Computer Vision during fall of 2000."--Pref.
Image Processing And Mathematical Morphology
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Author : Frank Y. Shih
language : en
Publisher: CRC Press
Release Date : 2017-07-12
Image Processing And Mathematical Morphology written by Frank Y. Shih and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-12 with Technology & Engineering categories.
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.
Mathematics In Image Processing
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Author : Hong-Kai Zhao
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-12
Mathematics In Image Processing written by Hong-Kai Zhao and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-12 with Mathematics categories.
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.