An efficient algorithm for adaptive total variation based image decomposition and restoration
Xinwu Liu, Lihong Huang (2014)
International Journal of Applied Mathematics and Computer Science
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Xinwu Liu, Lihong Huang (2014)
International Journal of Applied Mathematics and Computer Science
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Huang, Li-Li, Xiao, Liang, Wei, Zhi-Hui (2011)
Mathematical Problems in Engineering
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Jacques Froment (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Jacques Froment (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper describes a compact perceptual image model intended for morphological representation of the visual information contained in natural images. We explain why the total variation can be a criterion to split the information between the two main visual structures, which are the sketch and the microtextures. We deduce a morphological decomposition scheme, based on a segmentation where the borders of the regions correspond to the location of the topological singularities of a topographic...
Hasan Murat Afsar, Nicolas Jozefowiez, Pierre Lopez (2012)
RAIRO - Operations Research
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In this paper, we propose an exact solution method for the windy rural postman problem (WRPP). The motivation to study this problem comes from some real-life applications, such as garbage collecting in a predefined sector with hills, where the traversing or the servicing speed can change following the direction. We present a Dantzig-Wolfe decomposition and a branch-and-price algorithm to solve the WRPP. To the best of our knowledge, Dantzig-Wolfe decomposition has never been used to...
V.B. Surya Prasath (2011)
International Journal of Applied Mathematics and Computer Science
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We propose an edge adaptive digital image denoising and restoration scheme based on space dependent regularization. Traditional gradient based schemes use an edge map computed from gradients alone to drive the regularization. This may lead to the oversmoothing of the input image, and noise along edges can be amplified. To avoid these drawbacks, we make use of a multiscale descriptor given by a contextual edge detector obtained from local variances. Using a smooth transition from the...
Ekkehard Sachs, Matthias Schu (2010)
Control and Cybernetics
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de Oliveira Casaca, Wallace Correa, Boaventura, Maurílio (2010)
Mathematical Problems in Engineering
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Kim, Seongjai, Lim, Hyeona (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Parvati, K., Prakasa Rao, B.S., Das, M.Mariya (2008)
Discrete Dynamics in Nature and Society
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Jakub Kůdela, Pavel Popela (2017)
Kybernetika
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In this paper, we describe a decomposition algorithm suitable for two-stage convex stochastic programs known as Generalized Benders Decomposition. For this algorithm we propose a new reformulation that incorporates a lower bound cut that serves as a warm-start, decreasing the overall computation time. Additionally, we test the performance of the proposed reformulation on two modifications of the algorithm (bunching and multicut) using numerical examples. The numerical part is programmed...