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  • Level Set and PDE Based Reconstruction Methods in Imaging

    Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher

    Series series Mathematics and Statistics (R0)
    This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into ... Leer más

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  • Advances in Numerical Simulation in Physics and Engineering

    Lecture Notes of the XV 'Jacques-Louis Lions' Spanish-French School

    Series series Mathematics and Statistics (R0)
    The book is mainly addressed to young graduate students in engineering and natural sciences who start to face numerical simulation, either at a research level or in the field of industrial applications. The main subjects covered are: Biomechanics, Stochastic Calculus, Geophysical flow simulation and Shock-Capturing numerical methods for Hyperbolic Systems of Partial Differential Equations. The ... Leer más

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  • The Mimetic Finite Difference Method for Elliptic Problems

    Series series Mathematics and Statistics (R0)
    This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured ... Leer más

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  • Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

    In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics

    Series series Springer Nature Proceedings excluding Computer Science
    One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate ... Leer más

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  • Numerical Simulation in Physics and Engineering

    Lecture Notes of the XVI 'Jacques-Louis Lions' Spanish-French School

    Series series Mathematics and Statistics (R0)
    This book presents lecture notes from the XVI ‘Jacques-Louis Lions’ Spanish-French School on Numerical Simulation in Physics and Engineering, held in Pamplona (Navarra, Spain) in September 2014. The subjects covered include: numerical analysis of isogeometric methods, convolution quadrature for wave simulations, mathematical methods in image processing and computer vision, modeling and ... Leer más

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  • Trends in PDE Constrained Optimization

    Series series Mathematics and Statistics (R0)
    Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with ... Leer más

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  • Discrete Calculus

    Applied Analysis on Graphs for Computational Science

    The field of discrete calculus, also known as "discrete exterior calculus", focuses on finding a proper set of definitions and differential operators that make it possible to operate the machinery of multivariate calculus on a finite, discrete space. In contrast to traditional goals of finding an accurate discretization of conventional multivariate calculus, discrete calculus establishes a ... Leer más

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  • The Finite Element Method: Theory, Implementation, and Applications

    Series series Mathematics and Statistics (R0)
    This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a ... Leer más

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  • Multiresolution Approach to Processing Images for Different Applications

    Interaction of Lower Processing with Higher Vision

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    Series series Engineering (R0)
    This book presents theoretical and practical aspects of the interaction between low and high level image processing. Multiresolution analysis owes its popularity mostly to wavelets and is widely used in a variety of applications. Low level image processing is important for the performance of many high level applications. The book includes examples from different research fields, i.e. video ... Leer más

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  • Advances in Mathematical Modeling, Optimization and Optimal Control

    Series series Mathematics and Statistics (R0)
    This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, ... Leer más

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  • Splitting Methods in Communication, Imaging, Science, and Engineering

    Series series Mathematics and Statistics (R0)
    This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents ... Leer más

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  • Computational Diffusion MRI

    MICCAI Workshop, Boston, MA, USA, September 2014

    Series series Springer Nature Proceedings excluding Computer Science
    This book contains papers presented at the 2014 MICCAI Workshop on Computational Diffusion MRI, CDMRI’14. Detailing new computational methods applied to diffusion magnetic resonance imaging data, it offers readers a snapshot of the current state of the art and covers a wide range of topics from fundamental theoretical work on mathematical modeling to the development and evaluation of robust ... Leer más

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