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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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...
Corneliu Florea, Laura Florea (2013)
International Journal of Applied Mathematics and Computer Science
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While most of state-of-the-art image processing techniques were built under the so-called classical linear image processing, an alternative that presents superior behavior for specific applications comes in the form of Logarithmic Type Image Processing (LTIP). This refers to mathematical models constructed for the representation and processing of gray tones images. In this paper we describe a general mathematical framework that allows extensions of these models by various means while...
Xiaopeng Wei, Xiaoyong Fang, Qiang Zhang, Dongsheng Zhou (2010)
Computer Science and Information Systems
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Kim, Seongjai, Lim, Hyeona (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ignace Van de Woestyne, Theo Moons (2005)
Kragujevac Journal of Mathematics
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H. J. Rossberg, G. Siegel (1974)
Applicationes Mathematicae
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