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Stanley Osher

Researcher at University of California, Los Angeles

Publications -  549
Citations -  112414

Stanley Osher is an academic researcher from University of California, Los Angeles. The author has contributed to research in topics: Level set method & Computer science. The author has an hindex of 114, co-authored 510 publications receiving 104028 citations. Previous affiliations of Stanley Osher include University of Minnesota & University of Innsbruck.

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Journal ArticleDOI

Geometric Optics in a Phase-Space-Based Level Set and Eulerian Framework

TL;DR: In this article, a level set approach for ray tracing and the construction of wavefronts in geometric optics is presented, which automatically handles the multivalued solutions that appear and automatically resolves the wavefront.
Journal ArticleDOI

Numerical Methods for p -Harmonic Flows and Applications to Image Processing

TL;DR: This paper solves an unconstrained minimization problem on the entire space of functions, using the projection on the sphere of any arbitrary function, and shows how this formulation can be used in practice, for problems with both isotropic and anisotropic diffusion.
Journal ArticleDOI

Level Set Methods and Their Applications in Image Science

TL;DR: The scope of these techniques in image science, in particular in image segmentation, is examined, and some relevant level set techinquies that are potnetially useful for this class of applications are introduced.
Book ChapterDOI

Image cartoon-texture decomposition and feature selection using the total variation regularized L 1 functional

TL;DR: This paper studies the model of minimizing total variation with an L1-norm fidelity term for decomposing a real image into the sum of cartoon and texture and shows it to be able to select features of an image according to their scales.
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Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere

TL;DR: Darbon et al. as mentioned in this paper used the classical Hopf formulas for solving initial value problems for HJ PDEs and showed that these formulas are polynomial in the dimension.