Book Review: Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science

Advancing Interfaces: Level Set and Fast Marching Methods

In this article, we review past work on Level Set Methods, introduced by Osher and Sethian in [20], and Fast Marching Methods, introduced by Sethian in [25], for tracking propagating interfaces in two and three space dimensions. Both sets of techniques are based on a partial differential equations view of interface motion, and rely on the use of the theory of viscosity solutions, upwind finite ...

Level set and fast marching methods in image processing and computer vision

In recent years, level set methods have been used in a variety of settings for problems in computer vision and image processing. A related numerical methodology, known as ”fast marching methods”, has been recently developed to solve static HamiltonJacobi equations extremely quickly; the techniques rely on conversion to a static problem, and are based on a marriage between narrow band techniques...

Level Set Methods for Fluid Interfaces

We provide an overview of level set methods, introduced by Osher and Sethian, for computing the solution to fluid interface problems. These are computational techniques which rely on an implicit formulation of the interface, represented through a time-dependent initial value partial differential equation. We discuss the essential ideas behind the techniques, the coupling of these techniques to ...

review of radiographic methods in dental implantology

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Computational Geometry and Computer Vision