Prater-Bennette, Ashley; Shen, Lixin; Tripp, Erin E. A constructive approach for computing the proximity operator of the \(p\)-th power of the \(\ell_1\) norm. (English) Zbl 07740085 Appl. Comput. Harmon. Anal. 67, Article ID 101572, 12 p. (2023). MSC: 65-XX 47-XX PDFBibTeX XMLCite \textit{A. Prater-Bennette} et al., Appl. Comput. Harmon. Anal. 67, Article ID 101572, 12 p. (2023; Zbl 07740085) Full Text: DOI
Li, Yan-Ran; Shen, Lixin; Zhuang, Xiaosheng A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction. (English) Zbl 1492.94022 Appl. Comput. Harmon. Anal. 60, 446-470 (2022). MSC: 94A08 42C15 42C40 42B05 41A55 57N99 58C35 94A12 94C15 93C55 93C95 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., Appl. Comput. Harmon. Anal. 60, 446--470 (2022; Zbl 1492.94022) Full Text: DOI
Li, Qia; Shen, Lixin; Zhang, Na; Zhou, Junpeng A proximal algorithm with backtracked extrapolation for a class of structured fractional programming. (English) Zbl 1480.90238 Appl. Comput. Harmon. Anal. 56, 98-122 (2022). MSC: 90C32 90C26 65K05 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Comput. Harmon. Anal. 56, 98--122 (2022; Zbl 1480.90238) Full Text: DOI
Li, Yan-Ran; Chan, Raymond H. F.; Shen, Lixin; Zhuang, Xiaosheng Regularization with multilevel non-stationary tight framelets for image restoration. (English) Zbl 1467.94005 Appl. Comput. Harmon. Anal. 53, 332-348 (2021). MSC: 94A08 42C15 68U10 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., Appl. Comput. Harmon. Anal. 53, 332--348 (2021; Zbl 1467.94005) Full Text: DOI arXiv
Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng Multiplicative noise removal in imaging: an exp-model and its fixed-point proximity algorithm. (English) Zbl 1360.94043 Appl. Comput. Harmon. Anal. 41, No. 2, 518-539 (2016). MSC: 94A08 PDFBibTeX XMLCite \textit{J. Lu} et al., Appl. Comput. Harmon. Anal. 41, No. 2, 518--539 (2016; Zbl 1360.94043) Full Text: DOI
Dong, Bin (ed.); Jiang, Qingtang (ed.); Shen, Lixin (ed.) Preface. (English) Zbl 1349.00271 Appl. Comput. Harmon. Anal. 41, No. 2, 337-340 (2016). MSC: 00B25 42-06 94-06 PDFBibTeX XMLCite \textit{B. Dong} (ed.) et al., Appl. Comput. Harmon. Anal. 41, No. 2, 337--340 (2016; Zbl 1349.00271) Full Text: DOI
Shen, Lixin; Xu, Yuesheng; Zeng, Xueying Wavelet inpainting with the \(\ell_{0}\) sparse regularization. (English) Zbl 1338.65061 Appl. Comput. Harmon. Anal. 41, No. 1, 26-53 (2016). MSC: 65D18 94A08 65T50 65T60 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 41, No. 1, 26--53 (2016; Zbl 1338.65061) Full Text: DOI
Dong, Bin (ed.); Jiang, Qingtang (ed.); Shen, Lixin (ed.) Preface: Sparse representations with applications in imaging science, data analysis and beyond. (English) Zbl 1337.00025 Appl. Comput. Harmon. Anal. 41, No. 1, 1-3 (2016). MSC: 00B25 42-06 94-06 PDFBibTeX XMLCite \textit{B. Dong} (ed.) et al., Appl. Comput. Harmon. Anal. 41, No. 1, 1--3 (2016; Zbl 1337.00025) Full Text: DOI
Dai, Dao-Qing; Shen, Lixin; Xu, Yuesheng; Zhang, Na Noisy 1-bit compressive sensing: models and algorithms. (English) Zbl 1331.65085 Appl. Comput. Harmon. Anal. 40, No. 1, 1-32 (2016). MSC: 65K05 94A12 90C30 PDFBibTeX XMLCite \textit{D.-Q. Dai} et al., Appl. Comput. Harmon. Anal. 40, No. 1, 1--32 (2016; Zbl 1331.65085) Full Text: DOI
Shen, Lixin; Xu, Yuesheng; Zhang, Na An approximate sparsity model for inpainting. (English) Zbl 1294.65027 Appl. Comput. Harmon. Anal. 37, No. 1, 171-184 (2014). MSC: 65D18 90C26 65K05 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 37, No. 1, 171--184 (2014; Zbl 1294.65027) Full Text: DOI
Li, Qia; Shen, Lixin; Yang, Lihua Split-Bregman iteration for framelet based image inpainting. (English) Zbl 1236.94021 Appl. Comput. Harmon. Anal. 32, No. 1, 145-154 (2012). MSC: 94A08 65T60 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Comput. Harmon. Anal. 32, No. 1, 145--154 (2012; Zbl 1236.94021) Full Text: DOI
Lu, Yao; Shen, Lixin; Xu, Yuesheng Shadow block iteration for solving linear systems obtained from wavelet transforms. (English) Zbl 1086.65029 Appl. Comput. Harmon. Anal. 19, No. 3, 359-385 (2005). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65F10 65T60 94A08 PDFBibTeX XMLCite \textit{Y. Lu} et al., Appl. Comput. Harmon. Anal. 19, No. 3, 359--385 (2005; Zbl 1086.65029) Full Text: DOI
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei Tight frame: an efficient way for high-resolution image reconstruction. (English) Zbl 1046.42026 Appl. Comput. Harmon. Anal. 17, No. 1, 91-115 (2004). MSC: 42C40 65T60 68U10 94A08 PDFBibTeX XMLCite \textit{R. H. Chan} et al., Appl. Comput. Harmon. Anal. 17, No. 1, 91--115 (2004; Zbl 1046.42026) Full Text: DOI
Shen, Lixin; Yang, Jiansheng; Papadakis, M.; Kakadiaris, I.; Kouri, D. J.; Hoffman, D. K. On the smoothness of orthonormal wavelets arising from HDAFs. (English) Zbl 1029.42025 Appl. Comput. Harmon. Anal. 15, No. 3, 242-254 (2003). MSC: 42C40 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 15, No. 3, 242--254 (2003; Zbl 1029.42025) Full Text: DOI
Shen, L.; Tan, H. H.; Tham, J. Y. Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets. (English) Zbl 0973.42030 Appl. Comput. Harmon. Anal. 8, No. 3, 258-279 (2000). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 65T60 94A08 68U10 41A30 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 8, No. 3, 258--279 (2000; Zbl 0973.42030) Full Text: DOI