Compressed sensing(CS) has achieved great success in single noise removal. However, it cannot restore the images contaminated with mixed noise efficiently. This paper introduces nonlocal similarity and cosparsity insp...Compressed sensing(CS) has achieved great success in single noise removal. However, it cannot restore the images contaminated with mixed noise efficiently. This paper introduces nonlocal similarity and cosparsity inspired by compressed sensing to overcome the difficulties in mixed noise removal, in which nonlocal similarity explores the signal sparsity from similar patches, and cosparsity assumes that the signal is sparse after a possibly redundant transform. Meanwhile, an adaptive scheme is designed to keep the balance between mixed noise removal and detail preservation based on local variance. Finally, IRLSM and RACoSaMP are adopted to solve the objective function. Experimental results demonstrate that the proposed method is superior to conventional CS methods, like K-SVD and state-of-art method nonlocally centralized sparse representation(NCSR), in terms of both visual results and quantitative measures.展开更多
Wang and Zhang defined a type of Lp-dual mixed quermassintegrals based on the Lp-radial combinations and dual quermassintegrals of star bodies. In the article, the product inequalities for this Lp-dual mixed quermassi...Wang and Zhang defined a type of Lp-dual mixed quermassintegrals based on the Lp-radial combinations and dual quermassintegrals of star bodies. In the article, the product inequalities for this Lp-dual mixed quermassintegrals are established. As the applications, we obtain the lower bounds of dual quermassintegrals product. Further, the Brunn-Minkowski type inequality and the cycle inequality for the Lp-dual mixed quermassintegrals are given.展开更多
The second harmonic generation(SHG)response,birefringence,and ultraviolet(UV)absorption edge are three crucial parameters of UV nonlinear optical(NLO)crystals.However,striking a balance among these parameters has been...The second harmonic generation(SHG)response,birefringence,and ultraviolet(UV)absorption edge are three crucial parameters of UV nonlinear optical(NLO)crystals.However,striking a balance among these parameters has been a challenging endeavor.The synergistic combination of mixed chromophores is regarded as an effective strategy to achieve this task,leveraging the benefits of both functional motifs.Herein,a novel UV NLO crystal,Rb(NO_(3))(SO_(3)NH_(3)),was successfully designed by integrating the π-conjugated[NO_(3)]unit with the non-π-conjugated[SO_(3)NH_(3)]unit.As anticipated,the π-conjugated[NO_(3)]units contribute to a robust SHG effect and birefringence,while the non-π-conjugated[SO_(3)NH_(3)]units help in widening the band gap and controlling the birefringence within an optimal range by decoupling theπ-conjugated interactions and reducing the system’s anisotropy.Consequently,it exhibits a strong SHG response(7×KDP),moderate birefringence(0.07@546 nm),and a short UV absorption edge(208 nm),marking it as a promising UV NLO crystal.展开更多
基金supported by the National Natural Science Foundation of China(Nos.61403146 and 61603105)the Fundamental Research Funds for the Central Universities(No.2015ZM128)the Science and Technology Program of Guangzhou in China(Nos.201707010054 and 201704030072)
文摘Compressed sensing(CS) has achieved great success in single noise removal. However, it cannot restore the images contaminated with mixed noise efficiently. This paper introduces nonlocal similarity and cosparsity inspired by compressed sensing to overcome the difficulties in mixed noise removal, in which nonlocal similarity explores the signal sparsity from similar patches, and cosparsity assumes that the signal is sparse after a possibly redundant transform. Meanwhile, an adaptive scheme is designed to keep the balance between mixed noise removal and detail preservation based on local variance. Finally, IRLSM and RACoSaMP are adopted to solve the objective function. Experimental results demonstrate that the proposed method is superior to conventional CS methods, like K-SVD and state-of-art method nonlocally centralized sparse representation(NCSR), in terms of both visual results and quantitative measures.
基金Supported by the National Natural Science Foundation of China(11371224)
文摘Wang and Zhang defined a type of Lp-dual mixed quermassintegrals based on the Lp-radial combinations and dual quermassintegrals of star bodies. In the article, the product inequalities for this Lp-dual mixed quermassintegrals are established. As the applications, we obtain the lower bounds of dual quermassintegrals product. Further, the Brunn-Minkowski type inequality and the cycle inequality for the Lp-dual mixed quermassintegrals are given.
基金supported by the National Natural Science Foundation of China(22305038,22222510)the Natural Science Foundation of Fujian Province(2021J011080).
文摘The second harmonic generation(SHG)response,birefringence,and ultraviolet(UV)absorption edge are three crucial parameters of UV nonlinear optical(NLO)crystals.However,striking a balance among these parameters has been a challenging endeavor.The synergistic combination of mixed chromophores is regarded as an effective strategy to achieve this task,leveraging the benefits of both functional motifs.Herein,a novel UV NLO crystal,Rb(NO_(3))(SO_(3)NH_(3)),was successfully designed by integrating the π-conjugated[NO_(3)]unit with the non-π-conjugated[SO_(3)NH_(3)]unit.As anticipated,the π-conjugated[NO_(3)]units contribute to a robust SHG effect and birefringence,while the non-π-conjugated[SO_(3)NH_(3)]units help in widening the band gap and controlling the birefringence within an optimal range by decoupling theπ-conjugated interactions and reducing the system’s anisotropy.Consequently,it exhibits a strong SHG response(7×KDP),moderate birefringence(0.07@546 nm),and a short UV absorption edge(208 nm),marking it as a promising UV NLO crystal.
