Level Set Methods and Dynamic Implicit SurfacesSpringer Science & Business Media, 6 апр. 2006 г. - Всего страниц: 273 Scope, Aims, and Audiences This book, Level Set Methods and Dynamic Implicit Surfaces is designed to serve two purposes: Parts I and II introduce the reader to implicit surfaces and level set methods. We have used these chapters to teach introductory courses on the material to students with little more than a fundamental math background. No prior knowledge of partial di?erential equations or numerical analysis is required. These ?rst eight chapters include enough detailed information to allow students to create working level set codes from scratch. Parts III and IV of this book are based on a series of papers published by us and our colleagues. For the sake of brevity, a few details have been occasionally omitted. These chapters do include thorough explanations and enough of the signi?cant details along with the appropriate references to allow the reader to get a ?rm grasp on the material. This book is an introduction to the subject. We have given examples of the utility of the method to a diverse (but by no means complete) collection of application areas. We have also tried to give complete numerical recipes and a self-contained course in the appropriate numerical analysis. We - lieve that this book will enable users to apply the techniques presented here to real problems. |
Содержание
2 | |
8 | |
Signed Distance Functions | 17 |
Level Set Methods | 23 |
13 | 32 |
1 | 40 |
HamiltonJacobi Equations | 47 |
Motion in an Externally Generated Velocity Field | 54 |
2 | 154 |
TwoPhase Compressible Flow | 167 |
63 | 172 |
64 | 189 |
SolidFluid Coupling | 201 |
Incompressible Flow | 209 |
Free Surfaces 217 | 216 |
LiquidGas Interactions | 223 |
1 | 55 |
3 | 65 |
Extrapolation in the Normal Direction | 75 |
Image Processing and Computer Vision | 94 |
Snakes Active Contours and Segmentation | 119 |
Reconstruction of Surfaces from Unorganized | 139 |
Computational Physics | 147 |
LowSpeed Flames | 239 |
Heat Flow | 249 |
References | 259 |
65 | 263 |
270 | |
272 | |
Другие издания - Просмотреть все
Level Set Methods and Dynamic Implicit Surfaces Stanley Osher,Ronald Fedkiw Ограниченный просмотр - 2002 |
Level Set Methods and Dynamic Implicit Surfaces Stanley Osher,Ronald Fedkiw Недоступно для просмотра - 2002 |
Level Set Methods and Dynamic Implicit Surfaces Stanley Osher,Ronald Fedkiw Недоступно для просмотра - 2012 |
Часто встречающиеся слова и выражения
active contour algorithm approximation boundary conditions bulk convection calculation central differencing chapter color figure compressible computed conservation laws contact discontinuity convection curvature curve data set defined deflagration density derivatives discretization dissipation entropy equation 3.2 errors Euler equations example extrapolated Fedkiw first-order accurate forward Euler ghost cells ghost fluid method ghost nodes gradient grid cells grid nodes grid point H₁ Hamilton-Jacobi equations heat equation HJ WENO implicit surface incompressible flow initial data interface location interpolation isocontour Lagrangian Lagrangian mesh level set function level set method mean curvature moving nonlinear normal direction normal velocity numerical flux function numerical methods obtain one-dimensional Osher particles Phys Plate pressure and velocity rarefaction reconstruction region scheme second-order accurate segmentation Sethian shock wave signed distance function smearing smooth solution solve sonic points speed term three spatial dimensions tion updated upwind values variables velocity field viscosity WENO