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Nonlinear total variation based noise removal algorithms

A constrained optimization type of numerical algorithm for removing noise from images is presented. The total variation of the image is minimized subject to constraints involving the statistics of… Expand

Level set methods and dynamic implicit surfaces

- S. Osher, Ronald Fedkiw
- Mathematics, Computer Science
- Applied mathematical sciences
- 31 October 2002

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The Split Bregman Method for L1-Regularized Problems

- T. Goldstein, S. Osher
- Mathematics, Computer Science
- SIAM J. Imaging Sci.
- 1 April 2009

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Efficient implementation of essentially non-oscillatory shock-capturing schemes,II

- Chi-Wang Shu, S. Osher
- Mathematics
- 1 July 1989

In this paper we extend our earlier work on the efficient implementation of ENO (essentially non-oscillatory) shock-capturing schemes. We provide a new simplified expression for the ENO construction… Expand

Algorithms Based on Hamilton-Jacobi Formulations

- S. Osher, J. Sethian
- Mathematics
- 1988

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… Expand

Weighted essentially non-oscillatory schemes

- Xu-Dong Liu, S. Osher, T. Chan
- Mathematics
- 1 November 1994

Abstract In this paper we introduce a new version of ENO (essentially non-oscillatory) shock-capturing schemes which we call weighted ENO. The main new idea is that, instead of choosing the… Expand

A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)

- Ronald Fedkiw, T. Aslam, B. Merriman, S. Osher
- Mathematics
- 1 July 1999

While Eulerian schemes work well for most gas flows, they have been shown to admit nonphysical oscillations near some material interfaces. In contrast, Lagrangian schemes work well at multimaterial… Expand

Uniformly high order accurate essentially non-oscillatory schemes, 111

- A. Harten, B. Engquist, S. Osher, S. Chakravarthy
- Mathematics
- 1 August 1987

We continue the construction and the analysis of essentially non-oscillatory shock capturing methods for the approximation of hyperbolic conservation laws. We present an hierarchy of uniformly… Expand

Fast Global Minimization of the Active Contour/Snake Model

- X. Bresson, Selim Esedoglu, P. Vandergheynst, J. Thiran, S. Osher
- Mathematics, Computer Science
- Journal of Mathematical Imaging and Vision
- 1 June 2007

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Nonlocal Operators with Applications to Image Processing

- Guy Gilboa, S. Osher
- Mathematics, Computer Science
- Multiscale Model. Simul.
- 2008

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