Level Set Methods And Dynamic Implicit Surfaces

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Level Set Methods and Dynamic Implicit Surfaces

Author : Stanley Osher,Ronald Fedkiw
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 43,9 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : 9780387227467

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Level Set Methods and Dynamic Implicit Surfaces by Stanley Osher,Ronald Fedkiw Pdf

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
Page : 273 pages
File Size : 40,7 Mb
Release : 2012-09-18
Category : Mathematics
ISBN : 1468492500

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Level Set Methods and Dynamic Implicit Surfaces by Stanley Osher,Ronald Fedkiw Pdf

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 Fast Marching Methods

Author : J. A. Sethian
Publisher : Cambridge University Press
Page : 404 pages
File Size : 44,6 Mb
Release : 1999-06-13
Category : Computers
ISBN : 0521645573

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Level Set Methods and Fast Marching Methods by J. A. Sethian Pdf

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.

Introduction to Implicit Surfaces

Author : Jules Bloomenthal,Chandrajit Bajaj
Publisher : Morgan Kaufmann
Page : 360 pages
File Size : 40,5 Mb
Release : 1997-08
Category : Computers
ISBN : 155860233X

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Introduction to Implicit Surfaces by Jules Bloomenthal,Chandrajit Bajaj Pdf

Implicit surfaces offer special effects animators, graphic designers, CAD engineers, graphics students, and hobbyists a new range of capabilities for the modeling of complex geometric objects. In contrast to traditional parametric surfaces, implicit surfaces can easily describe smooth, intricate, and articulatable shapes. These powerful yet easily understood surfaces are finding use in a growing number of graphics applications. This comprehensive introduction develops the fundamental concepts and techniques of implicit surface modeling, rendering, and animating in terms accessible to anyone with a basic background in computer graphics. + provides a thorough overview of implicit surfaces with a focus on their applications in graphics + explains the best methods for designing, representing, and visualizing implicit surfaces + surveys the latest research With contributions from seven graphics authorities, this innovative guide establishes implicit surfaces as a powerful and practical tool for animation and rendering.

Geometric Level Set Methods in Imaging, Vision, and Graphics

Author : Stanley Osher,Nikos Paragios
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 50,7 Mb
Release : 2007-05-08
Category : Computers
ISBN : 9780387218106

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Geometric Level Set Methods in Imaging, Vision, and Graphics by Stanley Osher,Nikos Paragios Pdf

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 and Level Set Methods in Image Segmentation

Author : Amar Mitiche,Ismail Ben Ayed
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 41,7 Mb
Release : 2010-10-22
Category : Technology & Engineering
ISBN : 9783642153525

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Variational and Level Set Methods in Image Segmentation by Amar Mitiche,Ismail Ben Ayed Pdf

Image segmentation consists of dividing an image domain into disjoint regions according to a characterization of the image within or in-between the regions. Therefore, segmenting an image is to divide its domain into relevant components. The efficient solution of the key problems in image segmentation promises to enable a rich array of useful applications. The current major application areas include robotics, medical image analysis, remote sensing, scene understanding, and image database retrieval. The subject of this book is image segmentation by variational methods with a focus on formulations which use closed regular plane curves to define the segmentation regions and on a level set implementation of the corresponding active curve evolution algorithms. Each method is developed from an objective functional which embeds constraints on both the image domain partition of the segmentation and the image data within or in-between the partition regions. The necessary conditions to optimize the objective functional are then derived and solved numerically. The book covers, within the active curve and level set formalism, the basic two-region segmentation methods, multiregion extensions, region merging, image modeling, and motion based segmentation. To treat various important classes of images, modeling investigates several parametric distributions such as the Gaussian, Gamma, Weibull, and Wishart. It also investigates non-parametric models. In motion segmentation, both optical flow and the movement of real three-dimensional objects are studied.

IUTAM Symposium on Computational Approaches to Multiphase Flow

Author : S. Balachandar,A. Prosperetti
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 43,7 Mb
Release : 2007-01-28
Category : Science
ISBN : 9781402049774

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IUTAM Symposium on Computational Approaches to Multiphase Flow by S. Balachandar,A. Prosperetti Pdf

The book provides a broad overview of the full spectrum of state-of-the-art computational activities in multiphase flow as presented by top practitioners in the field. It starts with well-established approaches and builds up to newer methods. These methods are illustrated with applications to a broad spectrum of problems involving particle dispersion and deposition, turbulence modulation, environmental flows, fluidized beds, bubbly flows, and many others.

Variational, Geometric, and Level Set Methods in Computer Vision

Author : Nikos Paragios,Olivier Faugeras,Tony Chan,Christoph Schnoerr
Publisher : Springer
Page : 372 pages
File Size : 50,7 Mb
Release : 2005-10-13
Category : Computers
ISBN : 9783540321095

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Variational, Geometric, and Level Set Methods in Computer Vision by Nikos Paragios,Olivier Faugeras,Tony Chan,Christoph Schnoerr Pdf

Mathematical methods has been a dominant research path in computational vision leading to a number of areas like ?ltering, segmentation, motion analysis and stereo reconstruction. Within such a branch visual perception tasks can either be addressed through the introduction of application-driven geometric ?ows or through the minimization of problem-driven cost functions where their lowest potential corresponds to image understanding. The 3rd IEEE Workshop on Variational, Geometric and Level Set Methods focused on these novel mathematical techniques and their applications to c- puter vision problems. To this end, from a substantial number of submissions, 30 high-quality papers were selected after a fully blind review process covering a large spectrum of computer-aided visual understanding of the environment. The papers are organized into four thematic areas: (i) Image Filtering and Reconstruction, (ii) Segmentation and Grouping, (iii) Registration and Motion Analysis and (iiii) 3D and Reconstruction. In the ?rst area solutions to image enhancement, inpainting and compression are presented, while more advanced applications like model-free and model-based segmentation are presented in the segmentation area. Registration of curves and images as well as multi-frame segmentation and tracking are part of the motion understanding track, while - troducing computationalprocessesinmanifolds,shapefromshading,calibration and stereo reconstruction are part of the 3D track. We hope that the material presented in the proceedings exceeds your exp- tations and will in?uence your research directions in the future. We would like to acknowledge the support of the Imaging and Visualization Department of Siemens Corporate Research for sponsoring the Best Student Paper Award.

Level Set Methods for Fluid-Structure Interaction

Author : Georges-Henri Cottet,Emmanuel Maitre,Thomas Milcent
Publisher : Springer Nature
Page : 203 pages
File Size : 45,7 Mb
Release : 2022-09-10
Category : Mathematics
ISBN : 9783031086595

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Level Set Methods for Fluid-Structure Interaction by Georges-Henri Cottet,Emmanuel Maitre,Thomas Milcent Pdf

This monograph is devoted to Eulerian models for fluid-structure interaction by applying the original point of view of level set methods. In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids. This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into ​​the applications and performance of these models. Assuming background at the level of a Master’s degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers.

Level Set Method in Medical Imaging Segmentation

Author : Ayman El-Baz,Jasjit S. Suri
Publisher : CRC Press
Page : 300 pages
File Size : 48,6 Mb
Release : 2019-06-26
Category : Medical
ISBN : 9781351373029

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Level Set Method in Medical Imaging Segmentation by Ayman El-Baz,Jasjit S. Suri Pdf

Level set methods are numerical techniques which offer remarkably powerful tools for understanding, analyzing, and computing interface motion in a host of settings. When used for medical imaging analysis and segmentation, the function assigns a label to each pixel or voxel and optimality is defined based on desired imaging properties. This often includes a detection step to extract specific objects via segmentation. This allows for the segmentation and analysis problem to be formulated and solved in a principled way based on well-established mathematical theories. Level set method is a great tool for modeling time varying medical images and enhancement of numerical computations.

Geometric Partial Differential Equations - Part I

Author : Anonim
Publisher : Elsevier
Page : 710 pages
File Size : 52,5 Mb
Release : 2020-01-14
Category : Mathematics
ISBN : 9780444640048

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Geometric Partial Differential Equations - Part I by Anonim Pdf

Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs

Free-Surface Flow

Author : Nikolaos D. Katopodes
Publisher : Butterworth-Heinemann
Page : 914 pages
File Size : 55,6 Mb
Release : 2018-10-31
Category : Technology & Engineering
ISBN : 9780128154861

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Free-Surface Flow by Nikolaos D. Katopodes Pdf

Free-Surface Flow: Computational Methods presents a detailed analysis of numerical schemes for shallow-water waves. It includes practical applications for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow. Closure models for turbulence, such as Reynolds-Averaged Navier-Stokes and Large Eddy Simulation are presented, coupling the aforementioned surface tracking techniques with environmental fluid dynamics. While many computer programs can solve the partial differential equations describing the dynamics of fluids, many are not capable of including free surfaces in their simulations. Provides numerical solutions of the turbulent Navier-Stokes equations in three space dimensions Includes closure models for turbulence, such as Reynolds-Averaged Navier-Stokes, and Large Eddy Simulation Practical applications are presented for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow

Visualization Handbook

Author : Charles D. Hansen,Chris R. Johnson
Publisher : Elsevier
Page : 984 pages
File Size : 40,5 Mb
Release : 2011-08-30
Category : Technology & Engineering
ISBN : 9780080481647

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Visualization Handbook by Charles D. Hansen,Chris R. Johnson Pdf

The Visualization Handbook provides an overview of the field of visualization by presenting the basic concepts, providing a snapshot of current visualization software systems, and examining research topics that are advancing the field. This text is intended for a broad audience, including not only the visualization expert seeking advanced methods to solve a particular problem, but also the novice looking for general background information on visualization topics. The largest collection of state-of-the-art visualization research yet gathered in a single volume, this book includes articles by a “who’s who of international scientific visualization researchers covering every aspect of the discipline, including: · Virtual environments for visualization · Basic visualization algorithms · Large-scale data visualization · Scalar data isosurface methods · Visualization software and frameworks · Scalar data volume rendering · Perceptual issues in visualization · Various application topics, including information visualization. * Edited by two of the best known people in the world on the subject; chapter authors are authoritative experts in their own fields; * Covers a wide range of topics, in 47 chapters, representing the state-of-the-art of scientific visualization.

Scale Space and Variational Methods in Computer Vision

Author : Fiorella Sgallari,Almerico Murli,Nikos Paragios
Publisher : Springer Science & Business Media
Page : 934 pages
File Size : 52,7 Mb
Release : 2007-07-23
Category : Computers
ISBN : 9783540728238

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Scale Space and Variational Methods in Computer Vision by Fiorella Sgallari,Almerico Murli,Nikos Paragios Pdf

This book constitutes the refereed proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2007, emanated from the joint edition of the 4th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2007 and the 6th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2007, held in Ischia Italy, May/June 2007.

Computational Intelligence in Data Mining - Volume 3

Author : Lakhmi C. Jain,Himansu Sekhar Behera,Jyotsna Kumar Mandal,Durga Prasad Mohapatra
Publisher : Springer
Page : 717 pages
File Size : 53,8 Mb
Release : 2014-12-11
Category : Technology & Engineering
ISBN : 9788132222026

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Computational Intelligence in Data Mining - Volume 3 by Lakhmi C. Jain,Himansu Sekhar Behera,Jyotsna Kumar Mandal,Durga Prasad Mohapatra Pdf

The contributed volume aims to explicate and address the difficulties and challenges for the seamless integration of two core disciplines of computer science, i.e., computational intelligence and data mining. Data Mining aims at the automatic discovery of underlying non-trivial knowledge from datasets by applying intelligent analysis techniques. The interest in this research area has experienced a considerable growth in the last years due to two key factors: (a) knowledge hidden in organizations’ databases can be exploited to improve strategic and managerial decision-making; (b) the large volume of data managed by organizations makes it impossible to carry out a manual analysis. The book addresses different methods and techniques of integration for enhancing the overall goal of data mining. The book helps to disseminate the knowledge about some innovative, active research directions in the field of data mining, machine and computational intelligence, along with some current issues and applications of related topics.