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Numerical Methods for Image Registration

Numerical Methods for Image Registration Author Jan Modersitzki
ISBN-10 9780198528418
Release 2004-01
Pages 199
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This text provides an introduction to image registration with particular emphasis on numerical methods in medical imaging. Designed for researchers in industry and academia, it should also be a suitable study guide for graduate mathematicians, computer scientists and medical physicists.

Numerical Analysis and Scientific Computation

Numerical Analysis and Scientific Computation Author Jeffery J. Leader
ISBN-10 0201734990
Release 2004
Pages 590
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This book offers the following: Quick indtroduction to numerical methods, with roundoff error and computer arithmetic deferred until students ahve gained some experience with real algorithms; mofern approach to numerical linear algebra; explanations to the numerical techniques used by the major computational programs students are likely to use in practice(especally MATLAB, but also Maple and the Netlib library); Appropriate mix of numerical analysis theory and practical sciencfic computation principles; greater than usual emphasis on optimization; numerical experiments so students can gain experience; and efficient and unobtrusice introduction to MATLAB.

Numerical Analysis

Numerical Analysis Author David Ronald Kincaid
ISBN-10 0821847880
Release 2002
Pages 788
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This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.

Variational Methods in Image Processing

Variational Methods in Image Processing Author Luminita A. Vese
ISBN-10 9781439849743
Release 2015-11-18
Pages 386
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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.

Handbook of Mathematical Methods in Imaging

Handbook of Mathematical Methods in Imaging Author Otmar Scherzer
ISBN-10 9780387929194
Release 2010-11-23
Pages 1512
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The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Nonlinear Approaches in Engineering Applications

Nonlinear Approaches in Engineering Applications Author Liming Dai
ISBN-10 9783319094625
Release 2014-10-29
Pages 324
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This book focuses on the latest applications of nonlinear approaches in different disciplines of engineering and to a range of scientific problems. For each selected topic, detailed concept development, derivations and relevant knowledge are provided for the convenience of the readers. The topics range from dynamic systems and control to optimal approaches in nonlinear dynamics. The volume further includes invited chapters from world class experts in the field. The selected topics are of great interest in the fields of engineering and physics and this book is ideal for engineers and researchers working in a broad range of practical topics and approaches.

Numerical Methods for Delay Differential Equations

Numerical Methods for Delay Differential Equations Author Alfredo Bellen
ISBN-10 9780191523137
Release 2003-03-20
Pages 410
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The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that DDEs exhibit with respect to ordinary differential equations are preliminarily outlined by numerous examples illustrating some unexpected, and often surprising, behaviours of the analytical and numerical solutions. The effect of various kinds of delays on the regularity of the solution is described and some essential existence and uniqueness results are reported. The book is centered on the use of Runge-Kutta methods continuously extended by polynomial interpolation, includes a brief review of the various approaches existing in the literature, and develops an exhaustive error and well-posedness analysis for the general classes of one-step and multistep methods. The book presents a comprehensive development of continuous extensions of Runge-Kutta methods which are of interest also in the numerical treatment of more general problems such as dense output, discontinuous equations, etc. Some deeper insight into convergence and superconvergence of continuous Runge-Kutta methods is carried out for DDEs with various kinds of delays. The stepsize control mechanism is also developed on a firm mathematical basis relying on the discrete and continuous local error estimates. Classical results and a unconventional analysis of "stability with respect to forcing term" is reviewed for ordinary differential equations in view of the subsequent numerical stability analysis. Moreover, an exhaustive description of stability domains for some test DDEs is carried out and the corresponding stability requirements for the numerical methods are assessed and investigated. Alternative approaches, based on suitable formulation of DDEs as partial differential equations and subsequent semidiscretization are briefly described and compared with the classical approach. A list of available codes is provided, and illustrative examples, pseudo-codes and numerical experiments are included throughout the book.

A Concise Introduction to Image Processing using C

A Concise Introduction to Image Processing using C  Author Meiqing Wang
ISBN-10 9781584888987
Release 2016-04-19
Pages 264
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Image recognition has become an increasingly dynamic field with new and emerging civil and military applications in security, exploration, and robotics. Written by experts in fractal-based image and video compression, A Concise Introduction to Image Processing using C++ strengthens your knowledge of fundamentals principles in image acquisition, conservation, processing, and manipulation, allowing you to easily apply these techniques in real-world problems. The book presents state-of-the-art image processing methodology, including current industrial practices for image compression, image de-noising methods based on partial differential equations (PDEs), and new image compression methods, such as fractal image compression and wavelet compression. It begins with coverage of representation, and then moves on to communications and processing. It concludes with discussions of processing techniques based on image representations and transformations developed in earlier chapters. The accompanying CD-ROM contains code for all algorithms. Suitable as a text for any course on image processing, the book can also be used as a self-study resource for researchers who need a concise and clear view of current image processing methods and coding examples. The authors introduce mathematical concepts with rigor suitable for readers with some background in calculus, algebra, geometry, and PDEs. All algorithms described are illustrated with code implementation and many images compare the results of different methods. The inclusion of C++ implementation code for each algorithm described enables students and practitioners to build up their own analysis tool.

Numerical Methods for Scientists and Engineers

Numerical Methods for Scientists and Engineers Author Richard Hamming
ISBN-10 9780486134826
Release 2012-04-25
Pages 752
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This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.

Modern Fortran Explained

Modern Fortran Explained Author Michael Metcalf
ISBN-10 9780192539878
Release 2018-08-23
Pages 543
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Fortran marches on, remaining one of the principal programming languages used in high-performance scientific, numerical, and engineering computing. A series of significant revisions to the standard versions of the language have progressively enhanced its capabilities, and the latest standard - Fortran 2018 - includes many additions and improvements. This edition of Modern Fortran Explained expands on the last. Given the release of updated versions of Fortran compilers, the separate descriptions of Fortran 2003 and Fortran 2008 have been incorporated into the main text, which thereby becomes a unified description of the full Fortran 2008 version of the language. This clearer standard has allowed many deficiencies and irregularities in the earlier language versions to be resolved. Four new chapters describe the additional features of Fortran 2018, with its enhancements to coarrays for parallel programming, interoperability with C, IEEE arithmetic, and various other improvements. Written by leading experts in the field, two of whom have actively contributed to Fortran 2018, this is a complete and authoritative description of Fortran in its latest form. It is intended for new and existing users of the language, and for all those involved in scientific and numerical computing. It is suitable as a textbook for teaching and, with its index, as a handy reference for practitioners.

Mathematical Methods in Image Reconstruction

Mathematical Methods in Image Reconstruction Author Frank Natterer
ISBN-10 9780898716221
Release 2001-01-01
Pages 184
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This book provides readers with a superior understanding of the mathematical principles behind imaging.

Mathematics and Computation in Imaging Science and Information Processing

Mathematics and Computation in Imaging Science and Information Processing Author Say Song Goh
ISBN-10 9789812709066
Release 2007
Pages 262
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The explosion of data arising from rapid advances in communication, sensing and computational power has concentrated research effort on more advanced techniques for the representation, processing, analysis and interpretation of data sets. In view of these exciting developments, the program OC Mathematics and Computation in Imaging Science and Information ProcessingOCO was held at the Institute for Mathematical Sciences, National University of Singapore, from July to December 2003 and in August 2004 to promote and facilitate multidisciplinary research in the area. As part of the program, a series of tutorial lectures were conducted by international experts on a wide variety of topics in mathematical image, signal and information processing. This compiled volume contains survey articles by the tutorial speakers, all specialists in their respective areas. They collectively provide graduate students and researchers new to the field a unique and valuable introduction to a range of important topics at the frontiers of current research. Sample Chapter(s). Foreword (46 KB). Chapter 1: Subdivision on Arbitrary Meshes: Algorithms and Theory (771 KB). Contents: Subdivision on Arbitrary Meshes: Algorithms and Theory (D Zorin); High Order Numerical Methods for Time Dependent Hamilton-Jacobi Equations (C-W Shu); Theory and Computation of Variational Image Deblurring (T F Chan & J Shen); Data Hiding OCo Theory and Algorithms (P Moulin & R Koetter); Image Steganography and Steganalysis: Concepts and Practice (M Kharrazi et al.); The Apriori Algorithm OCo A Tutorial (M Hegland). Readership: Graduate students and researchers in mathematical image, signal and information processing."

Data Driven Modeling Scientific Computation

Data Driven Modeling   Scientific Computation Author J. Nathan Kutz
ISBN-10 9780199660339
Release 2013-08-08
Pages 638
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Combining scientific computing methods and algorithms with modern data analysis techniques, including basic applications of compressive sensing and machine learning, this book develops techniques that allow for the integration of the dynamics of complex systems and big data. MATLAB is used throughout for mathematical solution strategies.

Medical Image Computing and Computer Assisted Intervention MICCAI 2003

Medical Image Computing and Computer Assisted Intervention   MICCAI 2003 Author Randy E. Ellis
ISBN-10 UOM:39015058757835
Release 2004-01-12
Pages 1003
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The two-volume set LNCS 2878 and LNCS 2879 constitute the refereed proceedings of the 6th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2003, held in Montréal, Canada in November 2003. The 206 revised full papers and 25 revised short papers presented were carefully reviewed and selected from a total of 599 submissions. The two-volume proceedings offers topical sections on simulation and planning, robotic mechanisms and mechanical properties of tissue, interventional registration, cardiac imaging, segmentation, clinical applications of medical image computing, medical image processing, visualization and navigation, interventional imaging, image morphometry, and registration and atlases.

Scientific Computing in Chemical Engineering II

Scientific Computing in Chemical Engineering II Author Frerich Keil
ISBN-10 3540658513
Release 1999-05-19
Pages 412
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The application of modern methods in numerical mathematics on problems in chemical engineering is essential for designing, analyzing and running chemical processes and even entire plants. Scientific Computing in Chemical Engineering II gives the state of the art from the point of view of numerical mathematicians as well as that of engineers. The present volume as part of a two-volume edition covers topics such as computer-aided process design, combustion and flame, image processing, optimization, control, and neural networks. The volume is aimed at scientists, practitioners and graduate students in chemical engineering, industrial engineering and numerical mathematics.

Numerical Analysis for Statisticians

Numerical Analysis for Statisticians Author Kenneth Lange
ISBN-10 9781441959454
Release 2010-05-17
Pages 600
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Numerical analysis is the study of computation and its accuracy, stability and often its implementation on a computer. This book focuses on the principles of numerical analysis and is intended to equip those readers who use statistics to craft their own software and to understand the advantages and disadvantages of different numerical methods.

Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes

Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes Author Miguel Cerrolaza
ISBN-10 9780128117194
Release 2017-10-17
Pages 454
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Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes covers new and exciting modeling methods to help bioengineers tackle problems for which the Finite Element Method is not appropriate. The book covers a wide range of important subjects in the field of numerical methods applied to biomechanics, including bone biomechanics, tissue and cell mechanics, 3D printing, computer assisted surgery and fluid dynamics. Modeling strategies, technology and approaches are continuously evolving as the knowledge of biological processes increases. Both theory and applications are covered, making this an ideal book for researchers, students and R&D professionals. Provides non-conventional analysis methods for modeling Covers the Discrete Element Method (DEM), Particle Methods (PM), MessLess and MeshFree Methods (MLMF), Agent-Based Methods (ABM), Lattice-Boltzmann Methods (LBM) and Boundary Integral Methods (BIM) Includes contributions from several world renowned experts in their fields Compares pros and cons of each method to help you decide which method is most applicable to solving specific problems