Using Modern Mathematical and Computational Tools for Image Processing PDF Download
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Author: Jacob Daniel Shapiro
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In the search for exoplanets, many methods have proven fruitful. All involve careful observation of the host star and complex post-processing algorithms to identify if any planets are part of the system. One methodology that has shown promise, yet currently yields relatively few results, is direct imaging. The first part of this dissertation showcases the development of a novel technique to identify planets in post-processing of direct imaging data. It leverages the common spatial pattern filtering algorithm in combination with a forward modeled matched filter. I compare the algorithm to other leading techniques. The second part develops the tools and software for generalizing this approach to many different datasets. This allows for systematic, large-scale statistical analyses of the CSP method applied to a variety of stars and injected data. I present results for multiple sets of observations and show how the new technique can be expected to perform. Finally other avenues of image processing are explored both for use in a new type of filter and for the development of advanced self-assembling telescopes in space.
Author: Jacob Daniel Shapiro
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In the search for exoplanets, many methods have proven fruitful. All involve careful observation of the host star and complex post-processing algorithms to identify if any planets are part of the system. One methodology that has shown promise, yet currently yields relatively few results, is direct imaging. The first part of this dissertation showcases the development of a novel technique to identify planets in post-processing of direct imaging data. It leverages the common spatial pattern filtering algorithm in combination with a forward modeled matched filter. I compare the algorithm to other leading techniques. The second part develops the tools and software for generalizing this approach to many different datasets. This allows for systematic, large-scale statistical analyses of the CSP method applied to a variety of stars and injected data. I present results for multiple sets of observations and show how the new technique can be expected to perform. Finally other avenues of image processing are explored both for use in a new type of filter and for the development of advanced self-assembling telescopes in space.
Author: J M Blackledge
Publisher: Elsevier
ISBN: 0857099469
Category : Computers
Languages : en
Pages : 826
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Book Description
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: Tony F. Chan
Publisher: SIAM
ISBN: 089871589X
Category : Computers
Languages : en
Pages : 414
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Book Description
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: Ingrid Hotz
Publisher: Springer
ISBN: 3319150901
Category : Mathematics
Languages : en
Pages : 378
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Book Description
Modern imaging techniques and computational simulations yield complex multi-valued data that require higher-order mathematical descriptors. This book addresses topics of importance when dealing with such data, including frameworks for image processing, visualization and statistical analysis of higher-order descriptors. It also provides examples of the successful use of higher-order descriptors in specific applications and a glimpse of the next generation of diffusion MRI. To do so, it combines contributions on new developments, current challenges in this area and state-of-the-art surveys. Compared to the increasing importance of higher-order descriptors in a range of applications, tools for analysis and processing are still relatively hard to come by. Even though application areas such as medical imaging, fluid dynamics and structural mechanics are very different in nature they face many shared challenges. This book provides an interdisciplinary perspective on this topic with contributions from key researchers in disciplines ranging from visualization and image processing to applications. It is based on the 5th Dagstuhl seminar on Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. This book will appeal to scientists who are working to develop new analysis methods in the areas of image processing and visualization, as well as those who work with applications that generate higher-order data or could benefit from higher-order models and are searching for novel analytical tools.
Author: Kristian Bredies
Publisher: Springer
ISBN: 3030014584
Category : Mathematics
Languages : en
Pages : 481
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Book Description
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)
Author: Ron Kimmel
Publisher: Springer Science & Business Media
ISBN: 0387216375
Category : Computers
Languages : en
Pages : 222
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Book Description
Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.
Author: Diego Oliva
Publisher: Springer
ISBN: 3319485504
Category : Technology & Engineering
Languages : en
Pages : 185
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Book Description
This book presents a study of the use of optimization algorithms in complex image processing problems. The problems selected explore areas ranging from the theory of image segmentation to the detection of complex objects in medical images. Furthermore, the concepts of machine learning and optimization are analyzed to provide an overview of the application of these tools in image processing. The material has been compiled from a teaching perspective. Accordingly, the book is primarily intended for undergraduate and postgraduate students of Science, Engineering, and Computational Mathematics, and can be used for courses on Artificial Intelligence, Advanced Image Processing, Computational Intelligence, etc. Likewise, the material can be useful for research from the evolutionary computation, artificial intelligence and image processing communities.
Author: Luminita A. Vese
Publisher: CRC Press
ISBN: 1439849749
Category : Computers
Languages : en
Pages : 416
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Book Description
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
Author: Xue-Cheng Tai
Publisher: Springer Nature
ISBN: 9811627010
Category : Mathematics
Languages : en
Pages : 226
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Book Description
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.
Author: J. R. Parker
Publisher: John Wiley & Sons
ISBN: 1118021886
Category : Computers
Languages : en
Pages : 498
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Book Description
A cookbook of algorithms for common image processing applications Thanks to advances in computer hardware and software, algorithms have been developed that support sophisticated image processing without requiring an extensive background in mathematics. This bestselling book has been fully updated with the newest of these, including 2D vision methods in content-based searches and the use of graphics cards as image processing computational aids. It’s an ideal reference for software engineers and developers, advanced programmers, graphics programmers, scientists, and other specialists who require highly specialized image processing. Algorithms now exist for a wide variety of sophisticated image processing applications required by software engineers and developers, advanced programmers, graphics programmers, scientists, and related specialists This bestselling book has been completely updated to include the latest algorithms, including 2D vision methods in content-based searches, details on modern classifier methods, and graphics cards used as image processing computational aids Saves hours of mathematical calculating by using distributed processing and GPU programming, and gives non-mathematicians the shortcuts needed to program relatively sophisticated applications. Algorithms for Image Processing and Computer Vision, 2nd Edition provides the tools to speed development of image processing applications.
