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- Miyoun Jung, Xavier Bresson, Tony F. Chan, Luminita A. Vese
- IEEE Transactions on Image Processing
- 2011

We propose here a class of restoration algorithms for color images, based upon the Mumford-Shah (MS) model and nonlocal image information. The Ambrosio-Tortorelli and Shah elliptic approximations are defined to work in a small local neighborhood, which are sufficient to denoise smooth regions with sharp boundaries. However, texture is nonlocal in nature and… (More)

- Miyoun Jung, Gabriel Peyré, Laurent D. Cohen
- SSVM
- 2011

This article introduces a new image segmentation method that makes use of non-local comparisons between pairs of patches of features. A non-local energy is defined by summing the interactions between pairs of patches inside and outside the segmented domain. A maximum radius of interaction can be adapted to fit the amount of variation of the features inside… (More)

- Miyoun Jung, Gabriel Peyré, Laurent D. Cohen
- EMMCVPR
- 2011

This article introduces a novel active contour model that makes use of non-parametric estimators over patches for the segmentation of textured images. It is based on an energy that enforces the homogeneity of these statistics. This smoothness is measured using Wasserstein distances among discretized probability distributions that can handle features in… (More)

- Miyoun Jung, Luminita A. Vese
- SSVM
- 2009

We wish to recover an image corrupted by blur and Gaussian or impulse noise, in a variational framework. We use two data-fidelity terms depending on the noise, and several local and nonlocal regularizers. Inspired by Buades-Coll-Morel, Gilboa-Osher, and other nonlocal models, we propose nonlocal versions of the Ambrosio-Tortorelli and Shah approximations to… (More)

- Miyoun Jung, Myeongmin Kang, Myungjoo Kang
- J. Sci. Comput.
- 2014

- Miyoun Jung, Xavier Bresson, Tony F. Chan, Luminita A. Vese
- EMMCVPR
- 2009

We introduce several color image restoration algorithms based on the Mumford-Shah model and nonlocal image information. The standard Ambrosio-Tortorelli and Shah models are defined to work in a small local neighborhood, which are sufficient to denoise smooth regions with sharp boundaries. However, textures are not local in nature and require… (More)

- Miyoun Jung, Antonio Marquina, Luminita A. Vese
- 2009 16th IEEE International Conference on Image…
- 2009

We wish to recover an original image u from several blurry-noisy versions f<inf>k</inf>, called frames. We assume a more severe degradation model, in which the image u has been blurred by a noisy (stochastic) point spread function. We consider the problem of restoring the degraded image in a variational framework. Since the recovery of u from one single… (More)

- Leah Bar, Tony F. Chan, +4 authors Nir A. Sochen
- Handbook of Mathematical Methods in Imaging
- 2015

We present in this chapter an overview of the Mumford and Shah model for image segmentation. We discuss its various formulations, some of its properties, the mathematical framework, and several approximations. We also present numerical algorithms and segmentation results using the Ambrosio–Tortorelli phase-field approximations on one hand, and using the… (More)

- Miyoun Jung, Ginmo Chung, Ganesh Sundaramoorthi, Luminita A. Vese, Alan L. Yuille
- Computational Imaging
- 2009

- Miyoun Jung, Antonio Marquina, Luminita A. Vese
- J. Computational Applied Mathematics
- 2013

We wish to recover an original image u from several blurrynoisy versions fk, called frames. We assume a more severe degradation model, in which the image u has been blurred by a noisy (stochastic) point spread function. We consider the problem of restoring the degraded image in a variational framework. Since the recovery of u from one single frame f is a… (More)