Wu, Tingting; Shen, Lixin; Xu, Yuesheng Fixed-point proximity algorithms solving an incomplete Fourier transform model for seismic wavefield modeling. (English) Zbl 1456.86011 J. Comput. Appl. Math. 385, Article ID 113208, 20 p. (2021). MSC: 86A60 42B10 86-08 PDFBibTeX XMLCite \textit{T. Wu} et al., J. Comput. Appl. Math. 385, Article ID 113208, 20 p. (2021; Zbl 1456.86011) Full Text: DOI
Liu, Xiaoxia; Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng Multiplicative noise removal: nonlocal low-rank model and its proximal alternating reweighted minimization algorithm. (English) Zbl 1501.94003 SIAM J. Imaging Sci. 13, No. 3, 1595-1629 (2020). MSC: 94A08 94A12 90C26 15A03 46N10 65F22 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Imaging Sci. 13, No. 3, 1595--1629 (2020; Zbl 1501.94003) Full Text: DOI arXiv
Zeng, Xueying; Shen, Lixin; Xu, Yuesheng; Lu, Jian Matrix completion via minimizing an approximate rank. (English) Zbl 1425.65057 Anal. Appl., Singap. 17, No. 5, 689-713 (2019). MSC: 65F22 49N45 68W25 PDFBibTeX XMLCite \textit{X. Zeng} et al., Anal. Appl., Singap. 17, No. 5, 689--713 (2019; Zbl 1425.65057) Full Text: DOI
Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng Multiplicative noise removal with a sparsity-aware optimization model. (English) Zbl 1375.94022 Inverse Probl. Imaging 11, No. 6, 949-974 (2017). MSC: 94A08 49N45 68U10 PDFBibTeX XMLCite \textit{J. Lu} et al., Inverse Probl. Imaging 11, No. 6, 949--974 (2017; Zbl 1375.94022) Full Text: DOI
Long, Wenting; Lu, Yao; Shen, Lixin; Xu, Yuesheng High-resolution image reconstruction: an \(\mathrm{env}_{\ell^{1}}/\text{TV}\) model and a fixed-point proximity algorithm. (English) Zbl 1415.94031 Int. J. Numer. Anal. Model. 14, No. 2, 255-282 (2017). MSC: 94A08 49J40 62H35 68U10 PDFBibTeX XMLCite \textit{W. Long} et al., Int. J. Numer. Anal. Model. 14, No. 2, 255--282 (2017; Zbl 1415.94031) Full Text: Link
Liu, Yuzhen; Shen, Lixin; Xu, Yuesheng; Yang, Hongqi A collocation method solving integral equation models for image restoration. (English) Zbl 1347.65197 J. Integral Equations Appl. 28, No. 2, 263-307 (2016). MSC: 65R20 65R32 94A08 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Integral Equations Appl. 28, No. 2, 263--307 (2016; Zbl 1347.65197) Full Text: DOI Euclid
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
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
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
Li, Qia; Shen, Lixin; Xu, Yuesheng; Zhang, Na Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. (English) Zbl 1326.65069 Adv. Comput. Math. 41, No. 2, 387-422 (2015). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 94A08 90C26 65D18 PDFBibTeX XMLCite \textit{Q. Li} et al., Adv. Comput. Math. 41, No. 2, 387--422 (2015; Zbl 1326.65069) Full Text: DOI
Chen, Feishe; Shen, Lixin; Suter, Bruce W.; Xu, Yuesheng Reprint of “Nesterov’s algorithm solving dual formulation for compressed sensing”. (English) Zbl 1293.65091 J. Comput. Appl. Math. 265, 52-68 (2014). MSC: 65K10 94A12 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Comput. Appl. Math. 265, 52--68 (2014; Zbl 1293.65091) Full Text: DOI
Chen, Feishe; Shen, Lixin; Suter, Bruce W.; Xu, Yuesheng Nesterov’s algorithm solving dual formulation for compressed sensing. (English) Zbl 1293.65090 J. Comput. Appl. Math. 260, 1-17 (2014); reprint ibid. 265, 52-68 (2014). MSC: 65K10 94A12 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Comput. Appl. Math. 260, 1--17 (2014; Zbl 1293.65090) 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
Chen, Feishe; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying The Moreau envelope approach for the L1/TV image denoising model. (English) Zbl 1283.94010 Inverse Probl. Imaging 8, No. 1, 53-77 (2014). MSC: 94A08 49N45 68U10 PDFBibTeX XMLCite \textit{F. Chen} et al., Inverse Probl. Imaging 8, No. 1, 53--77 (2014; Zbl 1283.94010) Full Text: DOI
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying Proximity algorithms for the L1/TV image denoising model. (English) Zbl 1275.65014 Adv. Comput. Math. 38, No. 2, 401-426 (2013). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 68U10 94A08 65D19 92C55 PDFBibTeX XMLCite \textit{C. A. Micchelli} et al., Adv. Comput. Math. 38, No. 2, 401--426 (2013; Zbl 1275.65014) Full Text: DOI
Krol, Andrzej; Li, Si; Shen, Lixin; Xu, Yuesheng Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction. (English) Zbl 1270.94018 Inverse Probl. 28, No. 11, Article ID 115005, 34 p. (2012). MSC: 94A08 65J22 65K10 PDFBibTeX XMLCite \textit{A. Krol} et al., Inverse Probl. 28, No. 11, Article ID 115005, 34 p. (2012; Zbl 1270.94018) Full Text: DOI
Li, Qia; Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng A proximity algorithm accelerated by Gauss-Seidel iterations for L1/TV denoising models. (English) Zbl 1273.65085 Inverse Probl. 28, No. 9, Article ID 095003, 20 p. (2012). Reviewer: Majid Soleimani-Damaneh (Tehran) MSC: 65K10 94A08 65D18 PDFBibTeX XMLCite \textit{Q. Li} et al., Inverse Probl. 28, No. 9, Article ID 095003, 20 p. (2012; Zbl 1273.65085) Full Text: DOI
Lian, Qiaofang; Shen, Lixin; Xu, Yuesheng; Yang, Lihua Filters of wavelets on invariant sets for image denoising. (English) Zbl 1248.94017 Appl. Anal. 90, No. 7-8, 1299-1322 (2011). MSC: 94A08 42C40 65T60 PDFBibTeX XMLCite \textit{Q. Lian} et al., Appl. Anal. 90, No. 7--8, 1299--1322 (2011; Zbl 1248.94017) Full Text: DOI
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng Proximity algorithms for image models: denoising. (English) Zbl 1216.94015 Inverse Probl. 27, No. 4, Article ID 045009, 30 p. (2011). MSC: 94A08 68T45 PDFBibTeX XMLCite \textit{C. A. Micchelli} et al., Inverse Probl. 27, No. 4, Article ID 045009, 30 p. (2011; Zbl 1216.94015) Full Text: DOI
Lu, Yao; Shen, Lixin; Xu, Yuesheng Integral equation models for image restoration: high accuracy methods and fast algorithms. (English) Zbl 1256.94012 Inverse Probl. 26, No. 4, Article ID 045006, 32 p. (2010). MSC: 94A08 65R20 92C55 PDFBibTeX XMLCite \textit{Y. Lu} et al., Inverse Probl. 26, No. 4, Article ID 045006, 32 p. (2010; Zbl 1256.94012) Full Text: DOI Link
Lu, Yao; Shen, Lixin; Xu, Yuesheng Multi-parameter regularization methods for high-resolution image reconstruction with displacement errors. (English) Zbl 1374.94240 IEEE Trans. Circuits Syst. I, Regul. Pap. 54, No. 8, 1788-1799 (2007). MSC: 94A08 62H35 68U10 PDFBibTeX XMLCite \textit{Y. Lu} et al., IEEE Trans. Circuits Syst. I, Regul. Pap. 54, No. 8, 1788--1799 (2007; Zbl 1374.94240) 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