Level Set Methods and Fast Marching Methods

Level Set Methods and Fast Marching Methods
Author: J. A. Sethian
Publisher: Cambridge University Press
Total Pages: 404
Release: 1999-06-13
Genre: Computers
ISBN: 9780521645577

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.

Level Set Methods and Dynamic Implicit Surfaces

Level Set Methods and Dynamic Implicit Surfaces
Author: Stanley Osher
Publisher: Springer Science & Business Media
Total Pages: 292
Release: 2006-04-06
Genre: Mathematics
ISBN: 0387227466

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

Level Set Methods
Author: James Albert Sethian
Publisher:
Total Pages: 218
Release: 1996
Genre: Science
ISBN: 9780521572026

An introduction to level set methods, which will be be a useful resource for mathematicians, applied scientists, practising engineers and computer graphic artists.

Geometric Level Set Methods in Imaging, Vision, and Graphics

Geometric Level Set Methods in Imaging, Vision, and Graphics
Author: Stanley Osher
Publisher: Springer Science & Business Media
Total Pages: 523
Release: 2007-05-08
Genre: Computers
ISBN: 0387218106

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.

Variational Methods for Free Surface Interfaces

Variational Methods for Free Surface Interfaces
Author: Paul Concus
Publisher: Springer Science & Business Media
Total Pages: 201
Release: 2012-12-06
Genre: Science
ISBN: 1461246563

Vallombrosa Center was host during the week September 7-12, 1985 to about 40 mathematicians, physical scientists, and engineers, who share a common interest in free surface phenomena. This volume includes a selection of contributions by participants and also a few papers by interested scientists who were unable to attend in person. Although a proceedings volume cannot recapture entirely the stimulus of personal interaction that ultimately is the best justification for such a gathering, we do offer what we hope is a representative sampling of the contributions, indicating something of the varied and interrelated ways with which these classical but largely unsettled questions are currently being attacked. For the participants, and also for other specialists, the 23 papers that follow should help to establish and to maintain the new ideas and insights that were presented, as active working tools. Much of the material will certainly be of interest also for a broader audience, as it impinges and overlaps with varying directions of scientific development. On behalf of the organizing committee, we thank the speakers for excellent, well-prepared lectures. Additionally, the many lively informal discussions did much to contribute to the success of the conference.

Encyclopedia of Applied and Computational Mathematics

Encyclopedia of Applied and Computational Mathematics
Author: Björn Engquist
Publisher: Springer
Total Pages: 0
Release: 2016-12-16
Genre: Mathematics
ISBN: 9783662528723

EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.

Chebyshev and Fourier Spectral Methods

Chebyshev and Fourier Spectral Methods
Author: John P. Boyd
Publisher: Courier Corporation
Total Pages: 690
Release: 2001-12-03
Genre: Mathematics
ISBN: 0486411834

Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Numerical Methods for Scientific Computing

Numerical Methods for Scientific Computing
Author: Kyle Novak
Publisher: Equal Share Press
Total Pages: 710
Release: 2022-03-13
Genre: Mathematics
ISBN:

A comprehensive guide to the theory, intuition, and application of numerical methods in linear algebra, analysis, and differential equations. With extensive commentary and code for three essential scientific computing languages: Julia, Python, and Matlab.

Handbook of Mathematical Models in Computer Vision

Handbook of Mathematical Models in Computer Vision
Author: Nikos Paragios
Publisher: Springer Science & Business Media
Total Pages: 612
Release: 2006-01-16
Genre: Computers
ISBN: 0387288317

Abstract Biological vision is a rather fascinating domain of research. Scientists of various origins like biology, medicine, neurophysiology, engineering, math ematics, etc. aim to understand the processes leading to visual perception process and at reproducing such systems. Understanding the environment is most of the time done through visual perception which appears to be one of the most fundamental sensory abilities in humans and therefore a significant amount of research effort has been dedicated towards modelling and repro ducing human visual abilities. Mathematical methods play a central role in this endeavour. Introduction David Marr's theory v^as a pioneering step tov^ards understanding visual percep tion. In his view human vision was based on a complete surface reconstruction of the environment that was then used to address visual subtasks. This approach was proven to be insufficient by neuro-biologists and complementary ideas from statistical pattern recognition and artificial intelligence were introduced to bet ter address the visual perception problem. In this framework visual perception is represented by a set of actions and rules connecting these actions. The emerg ing concept of active vision consists of a selective visual perception paradigm that is basically equivalent to recovering from the environment the minimal piece information required to address a particular task of interest.

Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations

Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations
Author: Maurizio Falcone
Publisher: SIAM
Total Pages: 331
Release: 2014-01-31
Genre: Mathematics
ISBN: 161197304X

This largely self-contained book provides a unified framework of semi-Lagrangian strategy for the approximation of hyperbolic PDEs, with a special focus on Hamilton-Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts underlying the construction and analysis of difference schemes; they then proceed to high-order semi-Lagrangian schemes and their applications to problems in fluid dynamics, front propagation, optimal control, and image processing. The developments covered in the text and the references come from a wide range of literature.