Curvature Driven Flows For 2d And 3d Image Segmentation Smoothingand Enhancement
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Gradient Flows
| Author | : Luigi Ambrosio |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 333 |
| Release | : 2008-10-29 |
| Genre | : Mathematics |
| ISBN | : 376438722X |
The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.
Bézier and Splines in Image Processing and Machine Vision
| Author | : Sambhunath Biswas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 250 |
| Release | : 2007-12-20 |
| Genre | : Computers |
| ISBN | : 1846289572 |
This book deals with various image processing and machine vision problems efficiently with splines and includes: the significance of Bernstein Polynomial in splines, detailed coverage of Beta-splines applications which are relatively new, Splines in motion tracking, various deformative models and their uses. Finally the book covers wavelet splines which are efficient and effective in different image applications.
Introduction to the Mathematics of Medical Imaging
| Author | : Charles L. Epstein |
| Publisher | : SIAM |
| Total Pages | : 794 |
| Release | : 2008-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898717792 |
At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography (X-ray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.
Algorithms for Image Processing and Computer Vision
| Author | : J. R. Parker |
| Publisher | : John Wiley & Sons |
| Total Pages | : 498 |
| Release | : 2010-11-29 |
| Genre | : Computers |
| ISBN | : 1118021886 |
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.
Digital Geometry
| Author | : Reinhard Klette |
| Publisher | : Morgan Kaufmann |
| Total Pages | : 676 |
| Release | : 2004-08-06 |
| Genre | : Computers |
| ISBN | : 1558608613 |
The first book on digital geometry by the leaders in the field.
Modern Methods in Scientific Computing and Applications
| Author | : Gert Sabidussi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 524 |
| Release | : 2002 |
| Genre | : Computers |
| ISBN | : 9781402007811 |
One half of this book focuses on the techniques of scientific computing: domain decomposition, the absorption of boundary conditions and one-way operators, convergence analysis of multi-grid methods and other multi-grid techniques, dynamical systems, and matrix analysis. The remainder of the book is concerned with combining techniques with concrete applications: stochastic differential equations, image processing, and thin films."
