Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures

By Yves Meyer. 2001

1,243 citations recorded by the source corpus.

Subfields: Computer Vision and Pattern Recognition, Oceanography

View Paper: https://www.semanticscholar.org/paper/617f14081e554f3fa26de12db51db345452a46a8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Vision and Pattern Recognition

1. Lei Zhang
2. Stanley J. Osher
3. Michael Elad
4. Luc Van Gool
5. Ming-Hsuan Yang
6. Wangmeng Zuo
7. Dacheng Tao
8. Kaiming He

In Oceanography

1. Matti Lassas. Eero Saksman
2. J. D. L. Reyes
3. Luise Blank
4. Martin Burger
5. Jean-Luc Starck
6. Karen O. Egiazarian
7. Antonin Chambolle
8. Marcelo Bertalmío

Citations in the corpus

• Split Bregman Methods and Frame Based Image Restoration (2009, background): “These two layers have very different characteristics; see [3,54,64].”
• Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA) (2005, methodology): “T decomposition, a central component in this approach, was built on variational grounds as well, ex the notion of total-variation [23], based on a recent model for texture images by Meyer [22].”
• Discretization-invariant Bayesian inversion and Besov space priors (2009, positive): “is useful for image processing, see Meyer [47].”
• Signal Recovery by Proximal Forward-Backward Splitting (2005, background): “One will find in [51] a detailed and insightful analysis of this decomposition model.”
• On the behaviour of the solutions to p-Laplacian equations as p goes to 1 (2008, background): “One of these is M(Ω)∩W−1,∞(Ω) whose elements are named Guy David measures in [20].”
• Image restoration: Total variation, wavelet frames, and beyond (2012, background): “B(1,1) 1 space) in [5], which provides a fundamental understanding of the two approaches for image denoising.”
• Fast dual minimization of the vectorial total variation norm and applications to color image processing (2008, methodology): “We observe that the norm ||.||BV ⋆(;RM) was introduced by Aujol and Kang in [4] and it corresponds to the multidimensional version of the G-norm introduced by Meyer in [ 31 ] to capture oscillating patterns in gray-scale images.”
• Nonlocal Image and Movie Denoising (2008, background): “This fact has received a mathematical proof in [35].”
• An Iterative Regularization Method for Total Variation-Based Image Restoration (2005, background): “Analytical results were also obtained in [45] (following Meyer’s approach in [30]):”