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, Qia; Liao, Jianmin; Shen, Lixin; Zhang, Na A Successive Two-stage Method for Sparse Generalized Eigenvalue Problems. arXiv:2308.11904 Preprint, arXiv:2308.11904 [math.OC] (2023). MSC: 90C26 90C32 90C59 90C90 BibTeX Cite \textit{Q. Li} et al., ``A Successive Two-stage Method for Sparse Generalized Eigenvalue Problems'', Preprint, arXiv:2308.11904 [math.OC] (2023) Full Text: arXiv OA License
Li, Qiuwei; Prater, Ashley; Shen, Lixin; Tang, Gongguo A super-resolution framework for tensor decomposition. (English) Zbl 1510.15043 Inf. Inference 11, No. 4, 1287-1328 (2022). MSC: 15A69 15A23 65K05 PDFBibTeX XMLCite \textit{Q. Li} et al., Inf. Inference 11, No. 4, 1287--1328 (2022; Zbl 1510.15043) Full Text: DOI arXiv
Prater-Bennette, Ashley; Shen, Lixin; Tripp, Erin E. The proximity operator of the log-sum penalty. (English) Zbl 1508.90094 J. Sci. Comput. 93, No. 3, Paper No. 67, 34 p. (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{A. Prater-Bennette} et al., J. Sci. Comput. 93, No. 3, Paper No. 67, 34 p. (2022; Zbl 1508.90094) Full Text: DOI arXiv
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
Xu, Chen; Liu, Xiaoxia; Zheng, Jian; Shen, Lixin; Jiang, Qingtang; Lu, Jian Nonlocal low-rank regularized two-phase approach for mixed noise removal. (English) Zbl 1469.94018 Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021). MSC: 94A08 90C25 68U10 65D18 PDFBibTeX XMLCite \textit{C. Xu} et al., Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021; Zbl 1469.94018) 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
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. Algorithmic versatility of SPF-regularization methods. (English) Zbl 1512.94007 Anal. Appl., Singap. 19, No. 1, 43-69 (2021). MSC: 94A08 94A12 90C25 65K05 PDFBibTeX XMLCite \textit{L. Shen} et al., Anal. Appl., Singap. 19, No. 1, 43--69 (2021; Zbl 1512.94007) Full Text: DOI arXiv
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
Farnham, Stephen D.; Shen, Lixin; Suter, Bruce W. Principal component projection with low-degree polynomials. (English) Zbl 1497.62142 J. Sci. Comput. 85, No. 2, Paper No. 52, 25 p. (2020). MSC: 62H25 65C20 PDFBibTeX XMLCite \textit{S. D. Farnham} et al., J. Sci. Comput. 85, No. 2, Paper No. 52, 25 p. (2020; Zbl 1497.62142) Full Text: DOI arXiv
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
Yang, Hanmei; Li, Jiachang; Shen, Lixin; Lu, Jian A convex variational model for restoring SAR images corrupted by multiplicative noise. (English) Zbl 1459.94023 Math. Probl. Eng. 2020, Article ID 1952782, 19 p. (2020). MSC: 94A08 49N90 90C25 68U10 PDFBibTeX XMLCite \textit{H. Yang} et al., Math. Probl. Eng. 2020, Article ID 1952782, 19 p. (2020; Zbl 1459.94023) Full Text: DOI
Sharma, Pranay; Khanduri, Prashant; Shen, Lixin; Bucci, Donald J.; Varshney, Pramod K. On Distributed Online Convex Optimization with Sublinear Dynamic Regret and Fit. arXiv:2001.03166 Preprint, arXiv:2001.03166 [math.OC] (2020). BibTeX Cite \textit{P. Sharma} et al., ``On Distributed Online Convex Optimization with Sublinear Dynamic Regret and Fit'', Preprint, arXiv:2001.03166 [math.OC] (2020) Full Text: arXiv OA License
Lu, Jian; Yang, Hanmei; Shen, Lixin; Zou, Yuru Ultrasound image restoration based on a learned dictionary and a higher-order MRF. (English) Zbl 1442.92081 Comput. Math. Appl. 77, No. 4, 991-1009 (2019). MSC: 92C55 PDFBibTeX XMLCite \textit{J. Lu} et al., Comput. Math. Appl. 77, No. 4, 991--1009 (2019; Zbl 1442.92081) Full Text: DOI
Lu, Jian; Tian, Jiapeng; Shen, Lixin; Jiang, Qingtang; Zeng, Xueying; Zou, Yuru Rician noise removal via a learned dictionary. (English) Zbl 1435.94035 Math. Probl. Eng. 2019, Article ID 8535206, 13 p. (2019). MSC: 94A08 65K10 PDFBibTeX XMLCite \textit{J. Lu} et al., Math. Probl. Eng. 2019, Article ID 8535206, 13 p. (2019; Zbl 1435.94035) Full Text: DOI
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
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. Structured sparsity promoting functions. (English) Zbl 1428.90140 J. Optim. Theory Appl. 183, No. 2, 386-421 (2019). MSC: 90C26 90C30 65K99 PDFBibTeX XMLCite \textit{L. Shen} et al., J. Optim. Theory Appl. 183, No. 2, 386--421 (2019; Zbl 1428.90140) Full Text: DOI arXiv
Zhou, Yi; Liang, Yingbin; Shen, Lixin A simple convergence analysis of Bregman proximal gradient algorithm. (English) Zbl 1423.90275 Comput. Optim. Appl. 73, No. 3, 903-912 (2019). MSC: 90C52 90C25 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Comput. Optim. Appl. 73, No. 3, 903--912 (2019; Zbl 1423.90275) Full Text: DOI arXiv
Lu, Jian; Qiao, Ke; Shen, Lixin; Zou, Yuru Fixed-point algorithms for a TVL1 image restoration model. (English) Zbl 1487.94027 Int. J. Comput. Math. 95, No. 9, 1829-1844 (2018). MSC: 94A08 35A15 49J40 PDFBibTeX XMLCite \textit{J. Lu} et al., Int. J. Comput. Math. 95, No. 9, 1829--1844 (2018; Zbl 1487.94027) Full Text: DOI
Lu, Jian; Yang, Zeping; Shen, Lixin; Lu, Zhaosong; Yang, Hanmei; Xu, Chen A framelet algorithm for de-blurring images corrupted by multiplicative noise. (English) Zbl 1460.94010 Appl. Math. Modelling 62, 51-61 (2018). MSC: 94A08 94C15 65T60 90C25 65D18 PDFBibTeX XMLCite \textit{J. Lu} et al., Appl. Math. Modelling 62, 51--61 (2018; Zbl 1460.94010) Full Text: DOI
Prater-Bennette, Ashley; Shen, Lixin Sparse tensor recovery via N-mode FISTA with support augmentation. arXiv:1807.03109 Preprint, arXiv:1807.03109 [math.NA] (2018). BibTeX Cite \textit{A. Prater-Bennette} and \textit{L. Shen}, ``Sparse tensor recovery via N-mode FISTA with support augmentation'', Preprint, arXiv:1807.03109 [math.NA] (2018) Full Text: arXiv OA License
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
Lu, Jian; Chen, Yupeng; Zou, Yuru; Shen, Lixin A new total variation model for restoring blurred and Speckle noisy images. (English) Zbl 1362.65040 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750009, 19 p. (2017). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 65F10 65F22 68U10 PDFBibTeX XMLCite \textit{J. Lu} et al., Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750009, 19 p. (2017; Zbl 1362.65040) Full Text: DOI
Wang, Weiguang; Liang, Yingbin; Xing, Eric P.; Shen, Lixin Nonparametric decentralized detection and sparse sensor selection via weighted kernel. (English) Zbl 1412.94128 IEEE Trans. Signal Process. 64, No. 2, 306-321 (2016). MSC: 94A13 PDFBibTeX XMLCite \textit{W. Wang} et al., IEEE Trans. Signal Process. 64, No. 2, 306--321 (2016; Zbl 1412.94128) Full Text: DOI
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
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
Li, Yan-Ran; Chan, Raymond H.; Shen, Lixin; Hsu, Yung-Chin; Tseng, Wen-Yih Isaac An adaptive directional Haar framelet-based reconstruction algorithm for parallel magnetic resonance imaging. (English) Zbl 1366.94057 SIAM J. Imaging Sci. 9, No. 2, 794-821 (2016). MSC: 94A08 65K10 65T60 68U10 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., SIAM J. Imaging Sci. 9, No. 2, 794--821 (2016; Zbl 1366.94057) 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
Prater, Ashley; Shen, Lixin; Suter, Bruce W. Finding Dantzig selectors with a proximity operator based fixed-point algorithm. (English) Zbl 1468.62160 Comput. Stat. Data Anal. 90, 36-46 (2015). MSC: 62-08 62J05 PDFBibTeX XMLCite \textit{A. Prater} et al., Comput. Stat. Data Anal. 90, 36--46 (2015; Zbl 1468.62160) Full Text: DOI arXiv
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
Wang, Bo; Cai, Zemin; Shen, Lixin; Liu, Tianshu An analysis of physics-based optical flow. (English) Zbl 1334.94037 J. Comput. Appl. Math. 276, 62-80 (2015). MSC: 94A08 76M27 PDFBibTeX XMLCite \textit{B. Wang} et al., J. Comput. Appl. Math. 276, 62--80 (2015; Zbl 1334.94037) Full Text: DOI
Prater, Ashley; Shen, Lixin Separation of undersampled composite signals using the Dantzig selector with overcomplete dictionaries. arXiv:1501.04819 Preprint, arXiv:1501.04819 [math.NA] (2015). BibTeX Cite \textit{A. Prater} and \textit{L. Shen}, ``Separation of undersampled composite signals using the Dantzig selector with overcomplete dictionaries'', Preprint, arXiv:1501.04819 [math.NA] (2015) Full Text: arXiv OA License
Pan, Binbin; Lai, Jianhuang; Shen, Lixin Ideal regularization for learning kernels from labels. (English) Zbl 1325.68194 Neural Netw. 56, 22-34 (2014). MSC: 68T05 PDFBibTeX XMLCite \textit{B. Pan} et al., Neural Netw. 56, 22--34 (2014; Zbl 1325.68194) 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
Shen, Lixin; Wu, Yu-Bin Single machine past-sequence-dependent delivery times scheduling with general position-dependent and time-dependent learning effects. (English) Zbl 1426.90139 Appl. Math. Modelling 37, No. 7, 5444-5451 (2013). MSC: 90B35 PDFBibTeX XMLCite \textit{L. Shen} and \textit{Y.-B. Wu}, Appl. Math. Modelling 37, No. 7, 5444--5451 (2013; Zbl 1426.90139) Full Text: DOI
Shen, Lixin; Wang, Dan; Wang, Xiao-Yuan Parallel-machine scheduling with non-simultaneous machine available time. (English) Zbl 1426.90138 Appl. Math. Modelling 37, No. 7, 5227-5232 (2013). MSC: 90B35 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Math. Modelling 37, No. 7, 5227--5232 (2013; Zbl 1426.90138) Full Text: DOI
Li, Yan-Ran; Shen, Lixin; Suter, Bruce W. Adaptive inpainting algorithm based on DCT induced wavelet regularization. (English) Zbl 1373.94242 IEEE Trans. Image Process. 22, No. 2, 752-763 (2013). MSC: 94A08 94A11 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., IEEE Trans. Image Process. 22, No. 2, 752--763 (2013; Zbl 1373.94242) 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
Shen, Lixin; Suter, Bruce W. Blind One-Bit Compressive Sampling. arXiv:1302.1419 Preprint, arXiv:1302.1419 [cs.IT] (2013). BibTeX Cite \textit{L. Shen} and \textit{B. W. Suter}, ``Blind One-Bit Compressive Sampling'', Preprint, arXiv:1302.1419 [cs.IT] (2013) Full Text: arXiv OA License
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
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
Li, Yan-Ran; Shen, Lixin; Dai, Dao-Qing; Suter, Bruce W. Framelet algorithms for de-blurring images corrupted by impulse plus Gaussian noise. (English) Zbl 1372.94153 IEEE Trans. Image Process. 20, No. 7, 1822-1837 (2011). MSC: 94A08 94A11 68U10 42C40 65T60 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., IEEE Trans. Image Process. 20, No. 7, 1822--1837 (2011; Zbl 1372.94153) 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
Shen, Lixin; Suter, Bruce W. Eigengaps for hub-dominant matrices. (English) Zbl 1259.15028 Appl. Anal. 90, No. 7-8, 1227-1242 (2011). MSC: 15A42 42C15 65T60 65F15 PDFBibTeX XMLCite \textit{L. Shen} and \textit{B. W. Suter}, Appl. Anal. 90, No. 7--8, 1227--1242 (2011; Zbl 1259.15028) 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
Cai, Jianfeng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Tight frame based method for high-resolution image reconstruction. (English) Zbl 1216.94008 Damlamian, Alain (ed.) et al., Wavelet methods in mathematical analysis and engineering. Papers based on the ISFMA (Sino-French Institute of Applied Mathematics) symposium, Guangzhou, China, August 2007. Hackensack, NJ: World Scientific (ISBN 978-981-4322-86-7/hbk). Series in Contemporary Applied Mathematics 14, 1-36 (2010). MSC: 94A08 PDFBibTeX XMLCite \textit{J. Cai} et al., in: Wavelet methods in mathematical analysis and engineering. Papers based on the ISFMA (Sino-French Institute of Applied Mathematics) symposium, Guangzhou, China, August 2007. Hackensack, NJ: World Scientific. 1--36 (2010; Zbl 1216.94008)
Tan, Lihui; Shen, Lixin; Yang, Lihua Rational orthogonal bases satisfying the Bedrosian identity. (English) Zbl 1204.30045 Adv. Comput. Math. 33, No. 3, 285-303 (2010). Reviewer: Chuangan Hu (Cupertino) MSC: 30H10 46E20 PDFBibTeX XMLCite \textit{L. Tan} et al., Adv. Comput. Math. 33, No. 3, 285--303 (2010; Zbl 1204.30045) 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
Shen, Lixin; Suter, Bruce W. Bounds for eigenvalues of arrowhead matrices and their applications to hub matrices and wireless communications. (English) Zbl 1192.15018 EURASIP J. Adv. Signal Process. 2009, Article ID 379402, 12 p. (2009). MSC: 15B99 90B18 94A12 PDFBibTeX XMLCite \textit{L. Shen} and \textit{B. W. Suter}, EURASIP J. Adv. Signal Process. 2009, Article ID 379402, 12 p. (2009; Zbl 1192.15018) Full Text: DOI
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei Simultaneously inpainting in image and transformed domains. (English) Zbl 1168.94312 Numer. Math. 112, No. 4, 509-533 (2009). MSC: 94A08 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., Numer. Math. 112, No. 4, 509--533 (2009; Zbl 1168.94312) Full Text: DOI
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei Convergence analysis of tight framelet approach for missing data recovery. (English) Zbl 1172.94309 Adv. Comput. Math. 31, No. 1-3, 87-113 (2009). MSC: 94A08 94A11 42C40 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., Adv. Comput. Math. 31, No. 1--3, 87--113 (2009; Zbl 1172.94309) Full Text: DOI
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Restoration of chopped and nodded images by framelets. (English) Zbl 1161.94303 SIAM J. Sci. Comput. 30, No. 3, 1205-1227 (2008). MSC: 94A08 42C40 65T60 68U10 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., SIAM J. Sci. Comput. 30, No. 3, 1205--1227 (2008; Zbl 1161.94303) Full Text: DOI
Liu, Tianshu; Shen, Lixin Fluid flow and optical flow. (English) Zbl 1155.76046 J. Fluid Mech. 614, 253-291 (2008). MSC: 76M27 78A05 PDFBibTeX XMLCite \textit{T. Liu} and \textit{L. Shen}, J. Fluid Mech. 614, 253--291 (2008; Zbl 1155.76046) Full Text: DOI
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
Xu, Xirong; Yang, Yuansheng; Xi, Yue; Haque, K. M. M.; Shen, Lixin Super edge-magic labelings of generalized Petersen graphs \(P(n,3)\). (English) Zbl 1224.05470 Ars Comb. 85, 19-31 (2007). Reviewer: Zdeněk Ryjáček (Plzeň) MSC: 05C78 PDFBibTeX XMLCite \textit{X. Xu} et al., Ars Comb. 85, 19--31 (2007; Zbl 1224.05470)
Shen, Lixin; Shen, Zuowei Compression with time-frequency localization filters. (English) Zbl 1099.65153 Chen, Guanrong (ed.) et al., Wavelets and splines: Athens 2005. Papers based on lectures presented at the international conference on interactions between wavelets and splines, Athens, GA, USA, May 16–19, 2005. In honor of Professor Charles K. Chui on the occasion of his 65th birthday. Brentwood: Nashboro Press (ISBN 0-9728482-6-6/hbk). Modern Methods in Mathematics, 428-443 (2006). MSC: 65T60 94A08 94A12 PDFBibTeX XMLCite \textit{L. Shen} and \textit{Z. Shen}, in: Wavelets and splines: Athens 2005. Papers based on lectures presented at the international conference on interactions between wavelets and splines, Athens, GA, USA, May 16--19, 2005. In honor of Professor Charles K. Chui on the occasion of his 65th birthday. Brentwood: Nashboro Press. 428--443 (2006; Zbl 1099.65153)
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
Shen, Lixin; Sun, Qiyu Biorthogonal wavelet system for high-resolution image reconstruction. (English) Zbl 1369.94284 IEEE Trans. Signal Process. 52, No. 7, 1997-2011 (2004). MSC: 94A12 94A08 94A11 PDFBibTeX XMLCite \textit{L. Shen} and \textit{Q. Sun}, IEEE Trans. Signal Process. 52, No. 7, 1997--2011 (2004; Zbl 1369.94284) Full Text: DOI
Yang, Jiansheng; Shen, Lixin; Papadakis, Manos; Kakadiaris, Ioannis; Kouri, Donald J.; Hoffman, David K. Orthonormal wavelets arising from HDAFs. (English) Zbl 1071.42028 Heil, Christopher (ed.) et al., Wavelets, frames and operator theory. Papers from the Focused Research Group Workshop, University of Maryland, College Park, MD, USA, January 15–21, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3380-4/pbk). Contemporary Mathematics 345, 317-342 (2004). Reviewer: Qiyu Sun (Orlando) MSC: 42C40 65T60 PDFBibTeX XMLCite \textit{J. Yang} et al., Contemp. Math. 345, 317--342 (2004; Zbl 1071.42028)
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
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei Wavelet algorithms for high-resolution image reconstruction. (English) Zbl 1031.68127 SIAM J. Sci. Comput. 24, No. 4, 1408-1432 (2003). MSC: 68U10 65T60 42C40 94A08 PDFBibTeX XMLCite \textit{R. H. Chan} et al., SIAM J. Sci. Comput. 24, No. 4, 1408--1432 (2003; Zbl 1031.68127) 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
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. (English) Zbl 1025.65064 Linear Algebra Appl. 366, 139-155 (2003). MSC: 65T60 94A08 68U10 PDFBibTeX XMLCite \textit{R. H. Chan} et al., Linear Algebra Appl. 366, 139--155 (2003; Zbl 1025.65064) Full Text: DOI
Kakadiaris, Ioannis A.; Papadakis, Emmanuel; Shen, Lixin; Kouri, Donald; Hoffman, David g-HDAF multiresolution deformable models. (English) Zbl 1027.68849 Perales, Francisco José (ed.) et al., Articulated motion and deformable objects. Second international workshop, AMDO 2002, Palma de Mallorca, Spain, November 21-23, 2002. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2492, 21-31 (2002). MSC: 68U99 68T45 68U10 PDFBibTeX XMLCite \textit{I. A. Kakadiaris} et al., Lect. Notes Comput. Sci. 2492, 21--31 (2002; Zbl 1027.68849) Full Text: Link
Shen, Lixin; Tan, Hwee Huat On a family of orthonormal scalar wavelets and related balanced multiwavelets. (English) Zbl 1369.94285 IEEE Trans. Signal Process. 49, No. 7, 1447-1453 (2001). MSC: 94A12 PDFBibTeX XMLCite \textit{L. Shen} and \textit{H. H. Tan}, IEEE Trans. Signal Process. 49, No. 7, 1447--1453 (2001; Zbl 1369.94285) Full Text: DOI
Shen, Lixin; Tan, Hwee Huat; Tham, Jo Yew Some properties of symmetric-antisymmetric orthonormal multiwavelets. (English) Zbl 0993.94522 IEEE Trans. Signal Process. 48, No. 7, 2161-2163 (2000). MSC: 94A11 65T60 93E11 PDFBibTeX XMLCite \textit{L. Shen} et al., IEEE Trans. Signal Process. 48, No. 7, 2161--2163 (2000; Zbl 0993.94522) Full Text: DOI Link
Tham, Jo Yew; Shen, Lixin; Lee, Seng Luan; Tan, Hwee Huat A general approach for analysis and application of discrete multiwavelet transforms. (English) Zbl 1015.94503 IEEE Trans. Signal Process. 48, No. 2, 457-464 (2000). MSC: 94A08 65T60 PDFBibTeX XMLCite \textit{J. Y. Tham} et al., IEEE Trans. Signal Process. 48, No. 2, 457--464 (2000; Zbl 1015.94503) Full Text: DOI Link
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
Tan, Hwee Huat; Shen, Li-Xin; Thamm Jo Yew New biorthogonal multiwavelets for image incompression. (English) Zbl 1002.94503 Signal Process. 79, No. 1, 45-65 (1999). MSC: 94A08 65T60 68U10 PDFBibTeX XMLCite \textit{H. H. Tan} et al., Signal Process. 79, No. 1, 45--65 (1999; Zbl 1002.94503) Full Text: DOI