Alt, Tobias; Schrader, Karl; Weickert, Joachim; Peter, Pascal; Augustin, Matthias Designing rotationally invariant neural networks from PDEs and variational methods. (English) Zbl 07576604 Res. Math. Sci. 9, No. 3, Paper No. 52, 23 p. (2022). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{T. Alt} et al., Res. Math. Sci. 9, No. 3, Paper No. 52, 23 p. (2022; Zbl 07576604) Full Text: DOI arXiv
Zhou, Bo; Yang, Yu-Fei A coupling model and ADMM algorithm based on TGV and shearlet regularization term for MRI reconstruction. (English) Zbl 1476.49003 Comput. Appl. Math. 40, No. 3, Paper No. 75, 19 p. (2021). MSC: 49J10 49M37 65K10 90C25 92C55 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{Y.-F. Yang}, Comput. Appl. Math. 40, No. 3, Paper No. 75, 19 p. (2021; Zbl 1476.49003) Full Text: DOI
Zhou, Bo; Yang, Yu-Fei; Hu, Bo-Xia A second-order TV-based coupling model and an ADMM algorithm for MR image reconstruction. (English) Zbl 1461.92056 Int. J. Appl. Math. Comput. Sci. 30, No. 1, 113-122 (2020). MSC: 92C55 42C40 35Q92 PDFBibTeX XMLCite \textit{B. Zhou} et al., Int. J. Appl. Math. Comput. Sci. 30, No. 1, 113--122 (2020; Zbl 1461.92056) Full Text: DOI
Zhou, Bo; Yang, Yu-Fei; Xie, Wei-Si A novel model and ADMM algorithm for MR image reconstruction. (English) Zbl 1427.94033 Math. Probl. Eng. 2018, Article ID 5490458, 9 p. (2018). MSC: 94A08 65K10 92C55 PDFBibTeX XMLCite \textit{B. Zhou} et al., Math. Probl. Eng. 2018, Article ID 5490458, 9 p. (2018; Zbl 1427.94033) Full Text: DOI
Zadeh, Shekoufeh Gorgi; Didas, Stephan; Wintergerst, Maximilian W. M.; Schultz, Thomas Multi-scale anisotropic fourth-order diffusion improves ridge and valley localization. (English) Zbl 1426.68281 J. Math. Imaging Vis. 59, No. 2, 257-269 (2017). MSC: 68U10 35Q94 92C55 94A08 PDFBibTeX XMLCite \textit{S. G. Zadeh} et al., J. Math. Imaging Vis. 59, No. 2, 257--269 (2017; Zbl 1426.68281) Full Text: DOI arXiv
Liu, Pengfei; Xiao, Liang Efficient multiplicative noise removal method using isotropic second order total variation. (English) Zbl 1443.94022 Comput. Math. Appl. 70, No. 8, 2029-2048 (2015). MSC: 94A08 92C55 PDFBibTeX XMLCite \textit{P. Liu} and \textit{L. Xiao}, Comput. Math. Appl. 70, No. 8, 2029--2048 (2015; Zbl 1443.94022) Full Text: DOI
Bini, A. A.; Bhat, M. S. Despeckling low SNR, low contrast ultrasound images via anisotropic level set diffusion. (English) Zbl 1282.93229 Multidimensional Syst. Signal Process. 25, No. 1, 41-65 (2014). MSC: 93E03 93A30 94A08 92C50 PDFBibTeX XMLCite \textit{A. A. Bini} and \textit{M. S. Bhat}, Multidimensional Syst. Signal Process. 25, No. 1, 41--65 (2014; Zbl 1282.93229) Full Text: DOI
Hu, Shaoxiang External fractional-order gradient vector Perona-Malik diffusion for sinogram restoration of low-dosed X-ray computed tomography. (English) Zbl 1291.35412 Adv. Math. Phys. 2013, Article ID 516919, 10 p. (2013). MSC: 35Q92 92C55 35K57 35R11 PDFBibTeX XMLCite \textit{S. Hu}, Adv. Math. Phys. 2013, Article ID 516919, 10 p. (2013; Zbl 1291.35412) Full Text: DOI
Liao, Zhiwu Low-dosed X-ray computed tomography imaging by regularized fully spatial fractional-order Perona-Malik diffusion. (English) Zbl 1291.92078 Adv. Math. Phys. 2013, Article ID 371868, 9 p. (2013). MSC: 92C55 35R11 65M06 62H35 68U10 PDFBibTeX XMLCite \textit{Z. Liao}, Adv. Math. Phys. 2013, Article ID 371868, 9 p. (2013; Zbl 1291.92078) 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
Peng, Jialin; Dong, Fangfang; Kong, Dexing Recent advances of variational models in medical imaging and applications to computer aided surgery. (English) Zbl 1289.92033 Appl. Math., Ser. B (Engl. Ed.) 27, No. 4, 379-411 (2012). MSC: 92C55 68U10 65K10 68U99 49M30 PDFBibTeX XMLCite \textit{J. Peng} et al., Appl. Math., Ser. B (Engl. Ed.) 27, No. 4, 379--411 (2012; Zbl 1289.92033) Full Text: DOI
Hu, Shaoxiang; Liao, Zhiwu; Chen, Wufan Sinogram restoration for low-dosed \(X\)-ray computed tomography using fractional-order Perona-Malik diffusion. (English) Zbl 1264.94015 Math. Probl. Eng. 2012, Article ID 391050, 13 p. (2012). MSC: 94A08 35R30 35R11 92C55 35K10 PDFBibTeX XMLCite \textit{S. Hu} et al., Math. Probl. Eng. 2012, Article ID 391050, 13 p. (2012; Zbl 1264.94015) Full Text: DOI
Zheng, Qiong; Yang, Siyang; Wei, Guo-Wei Biomolecular surface construction by PDE transform. (English) Zbl 1244.92024 Int. J. Numer. Methods Biomed. Eng. 28, No. 3, 291-316 (2012). MSC: 92C40 35Q92 65T50 92-08 PDFBibTeX XMLCite \textit{Q. Zheng} et al., Int. J. Numer. Methods Biomed. Eng. 28, No. 3, 291--316 (2012; Zbl 1244.92024) Full Text: DOI Link
Wang, Yang; Wei, Guo-Wei; Yang, Siyang Mode decomposition evolution equations. (English) Zbl 1457.65152 J. Sci. Comput. 50, No. 3, 495-518 (2012). MSC: 65M70 68U10 35G20 35A22 92C55 94A08 94A12 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 50, No. 3, 495--518 (2012; Zbl 1457.65152) Full Text: DOI Link
Zhang, Yingtao; Cheng, H. D.; Tian, Jiawei; Huang, Jianhua; Tang, Xianglong Fractional subpixel diffusion and fuzzy logic approach for ultrasound speckle reduction. (English) Zbl 1214.68453 Pattern Recognition 43, No. 8, 2962-2970 (2010). MSC: 68U10 68T10 92C55 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Pattern Recognition 43, No. 8, 2962--2970 (2010; Zbl 1214.68453) Full Text: DOI
Bates, P. W.; Chen, Zhan; Sun, Yuhui; Wei, Guo-Wei; Zhao, Shan Geometric and potential driving formation and evolution of biomolecular surfaces. (English) Zbl 1311.92212 J. Math. Biol. 59, No. 2, 193-231 (2009). MSC: 92E20 92E10 53A10 49Q10 65M06 92C40 PDFBibTeX XMLCite \textit{P. W. Bates} et al., J. Math. Biol. 59, No. 2, 193--231 (2009; Zbl 1311.92212) Full Text: DOI