Level Set Methods and Dynamic Implicit Surfaces

Author: Stanley Osher,Ronald Fedkiw

Publisher: Springer Science & Business Media

ISBN: 0387227466

Category: Mathematics

Page: 273

View: 329

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Very hot area with a wide range of applications; Gives complete numerical analysis and recipes, which will enable readers to quickly apply the techniques to real problems; Includes two new techniques pioneered by Osher and Fedkiw; Osher and Fedkiw are internationally well-known researchers in this area

Level Set Methods and Dynamic Implicit Surfaces

Author: Stanley Osher,Ronald Fedkiw

Publisher: Springer Science & Business Media

ISBN: 0387954821

Category: Mathematics

Page: 273

View: 8501

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Very hot area with a wide range of applications; Gives complete numerical analysis and recipes, which will enable readers to quickly apply the techniques to real problems; Includes two new techniques pioneered by Osher and Fedkiw; Osher and Fedkiw are internationally well-known researchers in this area

Geometric Level Set Methods in Imaging, Vision, and Graphics

Author: Stanley Osher,Nikos Paragios

Publisher: Springer Science & Business Media

ISBN: 0387218106

Category: Computers

Page: 513

View: 9698

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Here is, for the first time, a book that clearly explains and applies new level set methods to problems and applications in computer vision, graphics, and imaging. It is an essential compilation of survey chapters from the leading researchers in the field. The applications of the methods are emphasized.

Level Set Methods and Fast Marching Methods

Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science

Author: J. A. Sethian

Publisher: Cambridge University Press

ISBN: 9780521645577

Category: Computers

Page: 378

View: 5762

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This new edition of Professor Sethian's successful text provides an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. They rely on a fundamental shift in how one views moving boundaries; rethinking the natural geometric Lagrangian perspective and exchanging it for an Eulerian, initial value partial differential equation perspective. For this edition, the collection of applications provided in the text has been expanded, including examples from physics, chemistry, fluid mechanics, combustion, image processing, material science, fabrication of microelectronic components, computer vision, computer-aided design, and optimal control theory. This book will be a useful resource for mathematicians, applied scientists, practising engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces.

Energy Minimization Methods in Computer Vision and Pattern Recognition

10th International Conference, EMMCVPR 2015, Hong Kong, China, January 13-16, 2015. Proceedings

Author: Xue-Cheng Tai,Egil Bae,Tony F. Chan,Marius Lysaker

Publisher: Springer

ISBN: 3319146122

Category: Computers

Page: 506

View: 9098

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This volume constitutes the refereed proceedings of the 10th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2015, held in Hong Kong, China, in January 2015. The 36 revised full papers were carefully reviewed and selected from 45 submissions. The papers are organized in topical sections on discrete and continuous optimization; image restoration and inpainting; segmentation; PDE and variational methods; motion, tracking and multiview reconstruction; statistical methods and learning; and medical image analysis.


Introduction to Implicit Surfaces

Author: Jules Bloomenthal,Chandrajit Bajaj

Publisher: Morgan Kaufmann

ISBN: 9781558602335

Category: Computers

Page: 332

View: 2475

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"Implicit surfaces" is a leading edge method for modeling that enables the production of certain complex surfaces that are not achievable by popular methods. They typically create very expressive animations providing for the visualization of soft deformable objects like organic structures and liquids. This practical guide provides a thorough description, with examples, of all the major aspects of implicit surface modeling and visualization.

Random Heterogeneous Materials

Microstructure and Macroscopic Properties

Author: Salvatore Torquato

Publisher: Springer Science & Business Media

ISBN: 1475763557

Category: Mathematics

Page: 703

View: 4636

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This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.

Polarization and Moment Tensors

With Applications to Inverse Problems and Effective Medium Theory

Author: Habib Ammari,Hyeonbae Kang

Publisher: Springer Science & Business Media

ISBN: 0387715665

Category: Mathematics

Page: 314

View: 6369

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This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text.

Finite Difference Methods for Ordinary and Partial Differential Equations

Steady-State and Time-Dependent Problems

Author: Randall J. LeVeque

Publisher: SIAM

ISBN: 9780898717839

Category: Differential equations

Page: 339

View: 1066

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This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Variational, Geometric, and Level Set Methods in Computer Vision

Third International Workshop, VLSM 2005, Beijing, China, October 16, 2005, Proceedings

Author: Nikos Paragios

Publisher: Springer Science & Business Media

ISBN: 9783540293484

Category: Computers

Page: 367

View: 8324

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This book constitutes the refereed proceedings of the Third International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2005, held in Beijing, China in October 2005 within the scope of ICCV 2005, the International Conference on Computer Vision. The 30 revised full papers presented were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections and sub-sections as follows: image filtering and reconstruction - image enhancement, inpainting and compression; segmentation and grouping - model-free and model-based segmentation; registration and motion analysis - registration of curves and images, multi-frame segmentation; 3D and reconstruction - computational processes in manifolds, shape from shading, calibration and stereo reconstruction.

Linear Operator Theory in Engineering and Science

Author: Arch W. Naylor,George R. Sell

Publisher: Springer Science & Business Media

ISBN: 9780387950013

Category: Mathematics

Page: 624

View: 2863

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This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.

Variational Methods in Image Processing

Author: Luminita A. Vese,Carole Le Guyader

Publisher: CRC Press

ISBN: 1439849749

Category: Technology & Engineering

Page: 386

View: 5617

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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.

Parallel Processing and Applied Mathematics

10th International Conference, PPAM 2013, Warsaw, Poland, September 8-11, 2013, Revised Selected Papers

Author: Roman Wyrzykowski,Jack Dongarra,Konrad Karczewski,Jerzy Waśniewski

Publisher: Springer

ISBN: 3642551955

Category: Computers

Page: 775

View: 6091

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This two-volume-set (LNCS 8384 and 8385) constitutes the refereed proceedings of the 10th International Conference of Parallel Processing and Applied Mathematics, PPAM 2013, held in Warsaw, Poland, in September 2013. The 143 revised full papers presented in both volumes were carefully reviewed and selected from numerous submissions. The papers cover important fields of parallel/distributed/cloud computing and applied mathematics, such as numerical algorithms and parallel scientific computing; parallel non-numerical algorithms; tools and environments for parallel/distributed/cloud computing; applications of parallel computing; applied mathematics, evolutionary computing and metaheuristics.

Finite Difference Schemes and Partial Differential Equations

Author: John C. Strikwerda

Publisher: SIAM

ISBN: 9780898715675

Category: Technology & Engineering

Page: 435

View: 1837

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This book provides a unified and accessible introduction to the basic theory of finite difference schemes applied to the numerical solution of partial differential equations. Originally published in 1989, its objective remains to present the basic methods necessary to perform finite difference schemes and to understand the theory underlying the schemes. This second edition is one of the few texts that not only presents the theory of stability in a rigorous and clear manner but also discusses the theory of initial-boundary value problems in relation to finite difference schemes. The material on elliptic partial differential equations found in later chapters provides an introduction to more advanced texts. This updated edition includes several important modifications. The notion of a stability domain is now included in the definition of stability and is generally more prevalent throughout. Many new figures and tables clarify important concepts and illustrate the properties of finite difference schemes.

Partial Differential Equations and Calculus of Variations

Author: Stefan Hildebrandt,Rolf Leis

Publisher: Springer

ISBN: 3540460241

Category: Mathematics

Page: 428

View: 9707

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This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.

Mathematical Models in Population Biology and Epidemiology

Author: Fred Brauer,Dawn Bies

Publisher: Springer Science & Business Media

ISBN: 1475735162

Category: Science

Page: 417

View: 6649

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The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Multigrid Techniques

1984 Guide with Applications to Fluid Dynamics, Revised Edition

Author: Achi Brandt,Oren E. Livne

Publisher: SIAM

ISBN: 9781611970753

Category: Differential equations, Partial

Page: 218

View: 6914

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This classic text presents the best practices of developing multigrid solvers for large-scale computational problems in science and engineering. By representing a problem at multiple scales and employing suitable interscale interactions, multigrid avoids slowdown due to stiffness and reduces the computational cost of classical algorithms by orders of magnitude. Starting from simple examples, this book guides the reader through practical stages for developing reliable multigrid solvers, methodically supported by accurate performance predictors. The revised edition presents discretization and fast solution of linear and nonlinear partial differential systems; treatment of boundary conditions, global constraints and singularities; grid adaptation, high-order approximations, and system design optimization; applications to fluid dynamics, from simple models to advanced systems; new quantitative performance predictors, a MATLAB sample code, and more. Readers will also gain access to the Multigrid Guide 2.0 Web site, where updates and new developments will be continually posted, including a chapter on Algebraic Multigrid.

Piecewise-smooth Dynamical Systems

Theory and Applications

Author: Mario Bernardo,Chris Budd,Alan Richard Champneys,Piotr Kowalczyk

Publisher: Springer Science & Business Media

ISBN: 9781846287084

Category: Mathematics

Page: 482

View: 8831

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This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.

Radial Basis Functions

Theory and Implementations

Author: Martin D. Buhmann

Publisher: Cambridge University Press

ISBN: 9781139435246

Category: Mathematics

Page: N.A

View: 8596

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In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing, it is necessary to estimate parameters, usually multidimensional, by approximation and interpolation. Radial basis functions are a powerful tool which work well in very general circumstances and so are becoming of widespread use as the limitations of other methods, such as least squares, polynomial interpolation or wavelet-based, become apparent. The author's aim is to give a thorough treatment from both the theoretical and practical implementation viewpoints. For example, he emphasises the many positive features of radial basis functions such as the unique solvability of the interpolation problem, the computation of interpolants, their smoothness and convergence and provides a careful classification of the radial basis functions into types that have different convergence. A comprehensive bibliography rounds off what will prove a very valuable work.