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Author | : Carola-Bibiane Schönlieb |
Publisher | : Cambridge University Press |
Total Pages | : 265 |
Release | : 2015-10-26 |
Genre | : Computers |
ISBN | : 1107001005 |
Download Partial Differential Equation Methods for Image Inpainting Book in PDF, ePub and Kindle
This book introduces the mathematical concept of partial differential equations (PDE) for virtual image restoration. It provides insight in mathematical modelling, partial differential equations, functional analysis, variational calculus, optimisation and numerical analysis. It is addressed towards generally informed mathematicians and graduate students in mathematics with an interest in image processing and mathematical analysis.
Author | : Carola-Bibiane Schönlieb |
Publisher | : Cambridge University Press |
Total Pages | : 265 |
Release | : 2015-10-26 |
Genre | : Mathematics |
ISBN | : 1316404587 |
Download Partial Differential Equation Methods for Image Inpainting Book in PDF, ePub and Kindle
This book is concerned with digital image processing techniques that use partial differential equations (PDEs) for the task of image 'inpainting', an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDEs to automate this task. This book introduces the mathematical concept of PDEs for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real-world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate students in mathematics with an interest in image processing and mathematical analysis.
Author | : Xue-Cheng Tai |
Publisher | : Springer Science & Business Media |
Total Pages | : 440 |
Release | : 2006-11-22 |
Genre | : Computers |
ISBN | : 3540332677 |
Download Image Processing Based on Partial Differential Equations Book in PDF, ePub and Kindle
This book publishes a collection of original scientific research articles that address the state-of-art in using partial differential equations for image and signal processing. Coverage includes: level set methods for image segmentation and construction, denoising techniques, digital image inpainting, image dejittering, image registration, and fast numerical algorithms for solving these problems.
Author | : Thomas März |
Publisher | : Logos Verlag Berlin GmbH |
Total Pages | : 194 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 3832526390 |
Download First Order Quasi-Linear PDEs with BV Boundary Data and Applications to Image Inpainting Book in PDF, ePub and Kindle
This book investigates the well-posedness of the mathematical model behind the method "Image Inpainting Based on Coherence Transport". Image inpainting methods serve the purpose of touching up damaged or unwanted elements of a digital picture. The model behind the mentioned method is a Dirichlet problem for a first order quasi-linear hyperbolic functional partial differential equation where all points of the boundary are inflow points. The main concern of this thesis is to proof the existence and the uniqueness of a solution to such kind of problems as well as the solutions's continuous dependence on the data. The general theory finally is used to obtain the well-posedness of the inpainting model.
Author | : Tony F. Chan |
Publisher | : SIAM |
Total Pages | : 414 |
Release | : 2005-09-01 |
Genre | : Computers |
ISBN | : 089871589X |
Download Image Processing and Analysis Book in PDF, ePub and Kindle
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 | : Gilles Aubert |
Publisher | : Springer Science & Business Media |
Total Pages | : 400 |
Release | : 2006-11-30 |
Genre | : Mathematics |
ISBN | : 0387445889 |
Download Mathematical Problems in Image Processing Book in PDF, ePub and Kindle
The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions. For the computer vision community, it presents a clear, self-contained and global overview of the mathematics involved in image procesing problems. The second edition offers a review of progress in image processing applications covered by the PDE framework, and updates the existing material. The book also provides programming tools for creating simulations with minimal effort.
Author | : William F. Ames |
Publisher | : |
Total Pages | : 312 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : |
Download Numerical Methods for Partial Differential Equations Book in PDF, ePub and Kindle
Author | : Kristian Bredies |
Publisher | : Springer |
Total Pages | : 473 |
Release | : 2019-02-06 |
Genre | : Mathematics |
ISBN | : 3030014584 |
Download Mathematical Image Processing Book in PDF, ePub and Kindle
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 | : Yuhui Sun |
Publisher | : |
Total Pages | : 280 |
Release | : 2007 |
Genre | : Biological interfaces |
ISBN | : |
Download Partial Differential Equation Approaches to Mathematical Modeling of Image and Biological Surfaces Book in PDF, ePub and Kindle
Author | : Daisuke Furihata |
Publisher | : CRC Press |
Total Pages | : 376 |
Release | : 2010-12-09 |
Genre | : Mathematics |
ISBN | : 1420094467 |
Download Discrete Variational Derivative Method Book in PDF, ePub and Kindle
Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving num