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Total-Variation-Diminishing Time Discretizations

SIAM Journal on Scientific and Statistical Computing, 1988
For the approximate solution of hyperbolic conservation laws \(u_ t+\sum^{d}_{i=1}f_ i(u)_{x_ i}=0\) for \(u\in {\mathbb{R}}^ m\) and \(x\in {\mathbb{R}}^ d\) difference schemes with the property of diminishing the total variation are a successful tool. In the present paper the scalar, one-dimensional case is considered and discussed, only.
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Total Nuclear Variation and Jacobian Extensions of Total Variation for Vector Fields

IEEE Transactions on Image Processing, 2014
We explore a class of vectorial total variation (VTV) measures formed as the spatial sum of a pixel-wise matrix norm of the Jacobian of a vector field. We give a theoretical treatment that indicates that, while color smearing and affine-coupling bias (often reported as gray-scale bias) are typically cited as drawbacks for VTV, these are actually ...
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Single Image Dehazing With Depth-Aware Non-Local Total Variation Regularization

IEEE Transactions on Image Processing, 2018
Single image dehazing can benefit many computer vision applications hence has attracted much more attention in recent years. However, it still remains a challenging task due to its double uncertainty of scene transmission and scene radiance. The existing
Qi Liu, Xinbo Gao, Lihuo He, Wen Lu
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Variations of Total Domination

2013
In the metadata of the chapter that will be visualized online, please replace the abstract with the following: “In this chapter, we consider four variations of a total dominating set in a graph and briefly discuss each variation.”
Michael A. Henning, Anders Yeo
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Decorrelated Vectorial Total Variation

2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014
This paper proposes a new vectorial total variation prior (VTV) for color images. Different from existing VTVs, our VTV, named the decorrelated vectorial total variation prior (D-VTV), measures the discrete gradients of the luminance component and that of the chrominance one in a separated manner, which significantly reduces undesirable uneven color ...
Shunsuke Ono, Isao Yamada
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Total subset variation prior

2010 IEEE International Conference on Image Processing, 2010
We propose total subset variation (TSV), a convexity preserving generalization of the total variation (TV) prior, for higher order clique MRF. A proposed differentiable approximation of the TSV prior makes it amenable for use in large images (e.g. 1080p).
Sanjeev Kumar, Truong Q. Nguyen
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Total solar irradiance variations

Journal of Atmospheric and Solar-Terrestrial Physics, 1999
Abstract Total solar irradiance has been monitored from space for nearly two decades. These space-borne observations have established conclusively that total solar irradiance changes over a wide range of periodicities—from minutes to the 11-year solar cycle.
J.M. Pap, C. Fröhlich
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An Algorithm for Total Variation Minimization and Applications

Journal of Mathematical Imaging and Vision, 2004
A. Chambolle
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The Total Variation Flow

2003
We consider the gradient flow of the total variation functional, stating general existence and uniqueness results. Particular attention is paid to self-similar solutions, which are partially classified. Finally, as an application, some explicit solutions of the denoising problem are given.
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