Results 11 to 20 of about 10,393,467 (307)
The Shannon Total Variation [PDF]
Journal of Mathematical Imaging and Vision, 2017 Discretization schemes commonly used for total variation regularization lead to images that are difficult to interpolate, which is a real issue for applications requiring subpixel accuracy and aliasing control. In the present work, we reconciliate total variation with Shannon interpolation and study a Fourier-based estimate that behaves much better in ...
Abergel, Rémy, Moisan, Lionel
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Forward-Looking Super-Resolution Imaging for Sea-Surface Target with Multi-Prior Bayesian Method
Remote Sensing, 2021 Traditional forward-looking super-resolution methods mainly concentrate on enhancing the resolution with ground clutter or no clutter scenes. However, sea clutter exists in the sea-surface target imaging, as well as ground clutter when the imaging scene ...
Weixin Li +5 more
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SIAM Journal on Imaging Sciences, 2016 accepted to SIAM Journal on Imaging Sciences (SIIMS)
Kolmogorov, Vladimir +2 more
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Total Variation as a Local Filter [PDF]
SIAM Journal on Imaging Sciences, 2011 In the Rudin-Osher-Fatemi (ROF) image denoising model, total variation (TV) is used as a global regularization term. However, as we observe, the local interactions induced by TV do not propagate much at long distances in practice, so that the ROF model is not far from being a local filter.
Louchet, Cécile, Moisan, Lionel
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On the total variation of the Jacobian
Journal of Functional Analysis, 2004 Let \(\Omega\) be an open subset of \({\mathbb R}^2\), and \(u=(u^1,u^2)\in L^\infty_{\text{ loc}}(\Omega;{\mathbb R}^2)\cap W^{1,p}(\Omega;{\mathbb R}^2)\) for some \(p>1\). In the paper, a comparison is carried out among the classical Jacobian determinant \(\det Du\) defined a.e. in \(\Omega\), the distributional Jacobian determinant \(\text{ Det} Du\
I. FONSECA, N. FUSCO, MARCELLINI, PAOLO
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Total roto-translational variation [PDF]
Numerische Mathematik, 2019 We consider curvature depending variational models for image regularization, such as Euler's elastica. These models are known to provide strong priors for the continuity of edges and hence have important applications in shape-and image processing. We consider a lifted convex representation of these models in the roto-translation space: In this space ...
Chambolle, Antonin, Pock, Thomas
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A new inequality for the Riemann-Stieltjes integrals driven by irregular signals in Banach spaces
Journal of Inequalities and Applications, 2018 We prove an inequality of the Loéve-Young type for the Riemann-Stieltjes integrals driven by irregular signals attaining their values in Banach spaces, and, as a result, we derive a new theorem on the existence of the Riemann-Stieltjes integrals driven ...
Rafał M Łochowski
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Dead-Time Compensation for the First-Order Dead-Time Processes: Towards a Broader Overview
Mathematics, 2021 The article reviews the results of a number of recent papers dealing with the revision of the simplest approaches to the control of first-order time-delayed systems.
Mikulas Huba +3 more
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Semisoft Generalized Total Variation Minimization for Image Reconstruction in Computed Tomography
IEEE Access, 2017 The generalized l1 greedy algorithm was recently proposed and shown to outperform the standard reweighted l1-minimization and l1-greedy algorithms for image reconstruction in computed tomography (CT).
Xiezhang Li +3 more
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Structure Tensor Total Variation [PDF]
SIAM Journal on Imaging Sciences, 2015 Summary: We introduce a novel generic energy functional that we employ to solve inverse imaging problems within a variational framework. The proposed regularization family, termed as structure tensor total variation (STV), penalizes the eigenvalues of the structure tensor and is suitable for both grayscale and vector-valued images.
Stamatios Lefkimmiatis +3 more
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