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Image Restoration Based on L1 + L1 Model
International Journal of Signal Processing, Image Processing and Pattern Recognition, 2014In this paper, we firstly propose a new image restoration model including non-smooth -norm regularization term based on the bilateral total variation regularization. Secondly, we prove the existence of minimal solutions of our proposed energy functional model. Thirdly, we consider the convergence of the discrete numerical algorithm, and obtain that the
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Embeddings L1 ∩ L∞ ⊆ X ⊆ L1 + L∞ ⊆ L0
2016In this chapter, we prove the main embedding theorem for symmetric spaces. The theorem asserts that for every symmetric space X, there are continuous embeddings L1 ∩L ∞ ⊆ X ⊆ L1 +L ∞ and inequalities \(2\| \cdot \|_{\mathbf{L}_{1}\cap \mathbf{L}_{\infty }} \geq (\varphi _{\mathbf{X}})^{-1}(1) \times \|\cdot \|_{\mathbf{X}} \geq\) \(\geq \|\cdot \|_ ...
Ben-Zion A. Rubshtein +3 more
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2013
Linear systems under integral constraints on controls in L1-space norm are discussed in this paper. Analog of Pontryagin???s Condition is formulated. On its basis sufficient conditions of the game termination in a certain guaranteed time are obtained.
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Linear systems under integral constraints on controls in L1-space norm are discussed in this paper. Analog of Pontryagin???s Condition is formulated. On its basis sufficient conditions of the game termination in a certain guaranteed time are obtained.
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