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2017
DOI: 10.1109/tpami.2016.2596743
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Trainable Nonlinear Reaction Diffusion: A Flexible Framework for Fast and Effective Image Restoration

Abstract: Abstract-Image restoration is a long-standing problem in low-level computer vision with many interesting applications. We describe a flexible learning framework based on the concept of nonlinear reaction diffusion models for various image restoration problems. By embodying recent improvements in nonlinear diffusion models, we propose a dynamic nonlinear reaction diffusion model with time-dependent parameters (i.e., linear filters and influence functions). In contrast to previous nonlinear diffusion models, all… Show more

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Cited by 1,165 publications
(911 citation statements)
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References 59 publications
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“…Only few works such employ this property directly [10], but also results for learned shrinkage functions suggest its usefulness [4]. The corresponding concept of backward diffusion has also shown to be successful [11,12,13].…”
Section: Introductionmentioning
confidence: 99%
“…Only few works such employ this property directly [10], but also results for learned shrinkage functions suggest its usefulness [4]. The corresponding concept of backward diffusion has also shown to be successful [11,12,13].…”
Section: Introductionmentioning
confidence: 99%
“…It was unfit to perform well on pictures with obscure noise levels. Additionally, it requires the output which is expected by the network during training [6]. In 2011, Deng transformed the inpainting task to the graph-labeling task using graph Laplace method.…”
Section: Related Workmentioning
confidence: 99%
“…Note that this scheme can be interpreted as a discretized reaction–diffusion equation (cf. [2]) or as the time-discrete projected gradient flow [8] of a time-dependent variational energy. In this work, we propose to use the following coupled variational energy:The first term couples the reconstructed image and the segmentation mask by means of convolution operations and parameterized nonlinear functions.…”
Section: A Coupled Variational Networkmentioning
confidence: 99%