Journal ArticleDOI
Visibility and its dynamics in a PDE based implicit framework
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TLDR
A one-pass, multi-level algorithm for the construction of the solution on a grid and the dynamics of shadow boundaries on the surfaces of the obstacles when the vantage point moves along a given trajectory are studied.About:
This article is published in Journal of Computational Physics.The article was published on 2004-09-01. It has received 84 citations till now. The article focuses on the topics: Level set & Visibility (geometry).read more
Citations
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Journal Article
High-order essentially non-oscillatory schemes for Hamilton-Jacobi equations
TL;DR: In this article, central weighted essentially nonoscillatory (CWENO) schemes for Hamilton-Jacobi equations are investigated, which yield uniform high-order accuracy in smooth regions and sharply resolve discontinuities in the derivatives.
Proceedings ArticleDOI
Minimizing the Reprojection Error in Surface Reconstruction from Images
TL;DR: This paper addresses the problem of image-based surface reconstruction by showing the strong influence that the movement of the contour generators has on the reprojection error and allowing its rigorous minimization via gradient descent surface evolution.
Journal ArticleDOI
Local level set method in high dimension and codimension
TL;DR: A new method is presented for numerically capturing a moving interface of arbitrary dimension and codimension that is stable under both the maximum norm and the Lipschitz semi-norm and does not need to reinitialize a level set function.
Journal ArticleDOI
Total variation and level set methods in image science
TL;DR: In this article, a review of level set methods and related techniques that are common in many PDE-based image models is presented. But the level set method and total variation methods have become thriving techniques in this field.
Patent
System and method for forming optimized perimeter surveillance
TL;DR: In this article, a software module apparatus for enabling a user to generate a virtual tripwire through a geographic area of interest using a plurality of sensors is presented. But it is not shown how to construct the tripwire.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Book
Level Set Methods and Dynamic Implicit Surfaces
Stanley Osher,Ronald Fedkiw +1 more
TL;DR: A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful.
Journal ArticleDOI
Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition)
Book
Level set methods and fast marching methods : evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science
TL;DR: In this paper, the Hamilton-Jacobi equations and associated theory are used to formulate the interface propagation problem and then algorithms for the initial and boundary value formulations are proposed for semi-conductor manufacturing.