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Wednesday, April 29, 2020 | History

3 edition of Fronts propagating with curvature dependent speed found in the catalog.

Fronts propagating with curvature dependent speed

Stanley Osher

Fronts propagating with curvature dependent speed

algorithms based on Hamilton-Jacobi formulations

by Stanley Osher

  • 225 Want to read
  • 13 Currently reading

Published by National Aeronautics and Space Administration, Langley Research Center in Hampton, Va .
Written in English

    Subjects:
  • Algorithms.,
  • Numerical analysis.

  • Edition Notes

    StatementStanley Osher, James A. Sethian.
    SeriesICASE report -- no. 87-66., NASA contractor report -- 178382., NASA contractor report -- NASA CR-178382.
    ContributionsSethian, James Albert., Langley Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15287406M

      Fronts and Interfaces 83 Planar Fronts 83 Space-Dependent Amplitude Equations 83 Propagating Front as a Heteroclinic Trajectory 85 Computation of the Propagation Speed 87 Maxwell Construction 89 Unstable Nonuniform States 90 Front Interactions 91 Weakly Curved Fronts 94 Aligned Coordinate Frame 94Price: $ This book provides an up-to-date and comprehensive presentation of the nonlinear dynamics of combustion waves and other non-equilibrium energetic systems. The major advances in this field have resulted from analytical studies of simplified models performed in close relation with carefully controlled laboratory by:   I know negative curvature of spacetime is close to impossible.. but reading about dark energy and how it is repulsive I'm trying to find illustrations of what would happen when spacetime curvature is negative (locally as whole cosmos having negative curvature is different concept than local. Support Function Representation for Curvature Dependent Surface Sampling Maria Lucia Sampoli1, Bert Ju¨ttler2 1Department of Mathematics and Computer Sciences, University of Siena, Pian dei Mantell Siena, Italy [email protected] 2Institute of Applied Geometry, Johannes Kepler University, Altenberger Str. 69, Linz, Austria.


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Fronts propagating with curvature dependent speed by Stanley Osher Download PDF EPUB FB2

JOURNAL OF COMPUTATIONAL PHYS ( Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations STANLEY OSHER* Department of Mathematics, University of California, Los Angeles, California AND JAMES A.

SETHIANt Department of Mathematics, University of California, Berkeley, California Cited by: Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations I.

INTRODUCTION In a variety of physical phenomena, one wants to track the motion of a front whose speed depends on the local curvature. Two well-known examples are crystal growth [3,19,20,24,25,30,38] and flame propagation [6,18,22,23,37,40]. motion for a front propagating with curvature-dependent speed.

This equation is an initial-value Hamilton-Jacobi equation with right-hand side that depends on cur- vature effects. The limit of the right-hand side as the curvature effects go to zero is an eikonal equation with an associated entropy condition.

Fronts propagating with curvature dependent speed algorithms based on Hamilton-Jacobi formulations (SuDoc NAS ) [Osher, Stanley] on *FREE* shipping on qualifying offers. Fronts propagating with curvature dependent speed algorithms based on Hamilton-Jacobi formulations (SuDoc NAS )Author: Stanley Osher.

@article{osti_, title = {Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton--Jacobi formulations}, author = {Osher, S and Sethian, J A}, abstractNote = {We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed.

The speed may be an arbitrary. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed.

The speed may be an arbitrary function of curvature, and the front can also be passively advected by an underlying flow. These algorithms approximate the equations of. New Book and Resource on Level Set and Fast Marching Methods References: Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton--Jacobi Formulations: Osher, S., and Sethian, J.A.

Journal of Computational Physics, 79, pp. 12. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations.

The need to follow fronts moving with curvature-dependent speed arises in the modeling of a wide class of physical phenomena, such as crystal growth, flame propagation and secondary oil recovery. In this paper, we show how to design numerical algorithms to follow a closed, non-intersecting hypersurface propagating along its normal vector field Cited by: 4.

Osher and J. Sethian, “Fronts propagating with curvature dependent speed Algorithms based on hamil-ton-jacobi formulations [J],” Journal of Fronts propagating with curvature dependent speed book.

T o determine the curvature dependence of the propagating normal velocity of two-dimensional w aves for system (), we follow [22, 20, 14]) to assume that compared with Fronts propagating with curvature dependent speed book.

Fronts propagating with signal dependent speed in limited diffusion and related Hamilton–Jacobi formulations Article in Applied Numerical Mathematics November with 9 Reads.

The Level Set Method • Implicit geometries, evolve interface by solving PDEs • Invented in by Osher and Sethian: – Stanley Osher and James A. Sethian. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-JacobiFile Size: KB. Abstract. We summarize recent advances in level set methods and Fast Marching Methods for propagating interfaces, which are computational techniques for tracking evolving fronts in two and three space by: 9.

The approach of using Hamilton-Jacobi equations for capturing fronts has been used in [14] for fronts propagating with curvature-dependent speed. CHOPP, DL, "COMPUTING MINIMAL-SURFACES VIA LEVEL SET CURVATURE FLOW," JOURNAL OF COMPUTATIONAL PHYSICS, vol.pp.The optimal handling of level sets associated to the solution of Hamilton-Jacobi equations such as the normal flow equation is investigated.

The goal is to find the normal velocity minimizing a suitable cost functional that accounts for a desired behavior of level sets over time.

Sufficient conditions of optimality are derived that require the solution of a system of nonlinear Hamilton Author: Angelo Alessandri, Patrizia Bagnerini, Roberto Cianci, Mauro Gaggero.

We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front also can be passively advected by an underlying flow.

We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front can also Continue Reading.

Cite Save. SIAM Journal on Numerical AnalysisThe Design of Algorithms for Hypersurfaces Mowing with Curvature-Dependent Speed. Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications, Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications, () Fronts propagating with Cited by: The curvature of a differentiable curve was originally defined through osculating this setting, Augustin-Louis Cauchy showed that the center of curvature is the intersection point of two infinitely close normal lines to the curve.

Plane curves. Intuitively, the curvature is a measure of the instantaneous rate of change of direction of a point that moves on the curve: the larger the. Fingerprint Segmentation is one of the critical and important steps in Automatic Fingerprint Recognition System (AFIS). It is a process that separates the fingerprint image into two regions, the foreground and background.

The foreground region will have the fingerprint region containing features for recognition and the background region is the unwanted region which can be. Abstract.

It has long been conjectured that starting at a generic smooth closed embedded surface in $\mathbf{R}^3$, the mean curvature flow remains smooth until it arrives at a singularity in a neighborhood of which the flow looks like concentric spheres or by: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations.

Journal of Computational Physics, 79 (1)–49, [OSV03] Stanley, Osher, Andrés, Solé and Luminita, by: Level-set methods (LSM) are a conceptual framework for using level sets as a tool for numerical analysis of surfaces and advantage of the level-set model is that one can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects (this is called the Eulerian approach).

Also, the level-set method. A commonly used speed function is (1) F(x)=G(x)(1+ακ)+H(x) n for all x on an interface S. Here, G(x) is the local propagation speed that depends on the position of the boundary.

It is usually the inverse of the image gradient or a similar quantity. κ denotes curvature, which introducesCited by: American Mathematical Society Charles Street Providence, Rhode Island or AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S.

Patent and Trademark Author: Lili Hu, Yao Li, Yingjie Liu. We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set by: 1.

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics,16 V. Caselles. Geometric models for active contours. In Proceedings of the IEEE International Conference on Image Processing, volume 3, pages17 T.

McInerney and D. Terzopoulos. Squares and circles are basic patterns for most mask designs of silicon microdevices. Evolution of etched Si crystallographic planes defined by square and circle patterns in the masking layer is presented and analyzed in this paper.

The sides of square patterns in the masking layer are designed along predetermined crystallographic by: 2. The second part of the book Fronts propagating with curvature–dependent speed: algorithms based on Hamilton–Jacobi formulations, J.

Comput. Phys. 79 (), no. 1, AN INTRODUCTION TO MEAN CURVATURE FLOW 4Evolution of curves and surfaces by mean curvature, Proceedings of the International Congress of Math. This study is on the development of numerical algorithms and models for simulation of a structure response in a fire.

The flow field from the fire plume is modeled using the 2D Navier-Stokes equations supplemented with a transport equation for thermal energy and solved using a vorticity-streamfunction : Wei Xie, Changsong Luo, Paul E.

DesJardin. In this study, wake of an elliptic cylinder is analyzed in the presence of a fluid–fluid interface. The interactions between the interface and flow affect each other and hence d. The aim of this work is the extraction of edges by a deformable contour procedure, using an external force field derived from an anisotropic flow, with different external and initial conditions.

By evaluating the divergence of the force field, we have generated a divergence map associated with it in order to analyze the field convergence. As we know, the divergence measures the.

In this work, we propose and analyse approximation schemes for fully non-linear second order partial differential equations defined on the Heisenberg group. We prove that a consistent, stable and monotone scheme converges to a viscosity solution of a second order PDE on the Heisenberg group provided that comparison principles exists for the limiting : Pablo Ochoa.

An Introduction to Mean Curvature Flow Carlo Mantegazza Introduction The second part of the book S. Osher and J. Sethian, Fronts propagating with curvature–dependent speed: algorithms based on Hamilton–Jacobi formulations, J.

Comput. Phys. 79 (), no. 1, 12– (). Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Fully automatic anatomical, pathological, and functional segmentation from CT scans for hepatic surgery.

Computer Aided Surgery (). Osher and J. Sethian, Fronts propagating with curvature-dependent speed-algorithm based on Hamilton-Jacobi formulations, J.

Comput. Phys., 79 (), doi: /(88) Google Scholar [32]Cited by: The Hamilton-Jacobi equation: a global approach / Stanley H. Benton, Jr Academic Press New York Book, Author: Benton, Stanley H: Description Fronts propagating with curvature dependent speed [microform]: algorithms based on Hamilton-Jacobi form.

• The spreading speed of the front in hyperbolic space is while it is in. • The above difference comes from the fact that the mean curvature of a geodesic sphere in converges to -1 as the radius tends to infinity, while this limit is 0 in the case of.

() Maximizing the spreading speed of KPP fronts in two-dimensional stratified media. Proceedings of the London Mathematical Society() Modeling flame propagation of micron-sized iron dust particles in media with spatially discrete by:. Osher S J and Sethian J A Front propagation with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations J.

Comput. Phys. 79 CrossrefCited by: We propose a geometric convexity shape prior preservation method for variational level set based image segmentation methods.

Our method is built upon the fact that the level set of a convex signed distanced function must be convex. This property enables us to transfer a complicated geometrical convexity prior into a simple inequality constraint on the function.

An active set .Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations Stanley Osher 1 Department of Mathematics University of California Los Angeles, California James A.

Sethian 2 Department of Mathematics University of California Berkeley, California We devise new numerical algorithms, called PSC algorithms, for Read: