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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 ofExpand
Level set methods and dynamic implicit surfaces
TLDR
This book is an introduction to level set methods and dynamic implicit surfaces. Expand
The Split Bregman Method for L1-Regularized Problems
TLDR
We show that Bregman iteration can be used to solve a wide variety of constrained optimization problems, including Rudin-Osher-Fatemi functional and compressed sensing. Expand
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
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 constructionExpand
Algorithms Based on Hamilton-Jacobi Formulations
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 alsoExpand
Weighted essentially non-oscillatory schemes
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 theExpand
A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)
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 multimaterialExpand
Uniformly high order accurate essentially non-oscillatory schemes, 111
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 uniformlyExpand
Fast Global Minimization of the Active Contour/Snake Model
TLDR
In this paper, we propose to solve this problem by determining a global minimum of the active contour model. Expand
Nonlocal Operators with Applications to Image Processing
TLDR
We propose the use of nonlocal operators to define new types of flows and functionals for image processing and elsewhere. Expand
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