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, 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
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
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
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
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
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
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
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