Ambrosio, Luigi; Aziznejad, Shayan; Brena, Camillo; Unser, Michael Linear inverse problems with Hessian-Schatten total variation. (English) Zbl 07782500 Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 9, 28 p. (2024). MSC: 46N10 49N45 94A12 26A45 47A52 49J45 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 9, 28 p. (2024; Zbl 07782500) Full Text: DOI arXiv OA License
Agrawal, Purshottam Narain; Shukla, Rahul; Baxhaku, Behar Characterization of deferred type statistical convergence and \(P\)-summability method for operators: applications to \(q\)-Lagrange-Hermite operator. (English) Zbl 07781807 Math. Methods Appl. Sci. 46, No. 4, 4449-4465 (2023). Reviewer: Hemant Kumar Nashine (Vellore) MSC: 41A25 41A36 33C45 26A15 PDFBibTeX XMLCite \textit{P. N. Agrawal} et al., Math. Methods Appl. Sci. 46, No. 4, 4449--4465 (2023; Zbl 07781807) Full Text: DOI arXiv
Zheng, Xiangcheng; Yang, Zhiwei; Li, Wuchen; Wang, Hong A time-fractional mean-field control modeling subdiffusive advective transport. (English) Zbl 07781026 SIAM J. Sci. Comput. 45, No. 6, B884-B905 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q49 76S05 74L10 49N80 49J20 49M41 35F21 35B36 65M60 26A33 35R11 PDFBibTeX XMLCite \textit{X. Zheng} et al., SIAM J. Sci. Comput. 45, No. 6, B884--B905 (2023; Zbl 07781026) Full Text: DOI
Ben-Loghfyry, Anouar; Hakim, Abdelilah; Laghrib, Amine A denoising model based on the fractional Beltrami regularization and its numerical solution. (English) Zbl 1518.65071 J. Appl. Math. Comput. 69, No. 2, 1431-1463 (2023). MSC: 65K10 26A33 49J45 49M29 49N45 PDFBibTeX XMLCite \textit{A. Ben-Loghfyry} et al., J. Appl. Math. Comput. 69, No. 2, 1431--1463 (2023; Zbl 1518.65071) Full Text: DOI
Ronse, Christian A generalisation of flat morphology. II: Main properties, duality and hybrid operators. (English) Zbl 1527.68254 J. Math. Imaging Vis. 65, No. 4, 657-685 (2023). MSC: 68U10 06B23 06E30 06F20 26A45 PDFBibTeX XMLCite \textit{C. Ronse}, J. Math. Imaging Vis. 65, No. 4, 657--685 (2023; Zbl 1527.68254) Full Text: DOI
Davoli, Elisa; Fonseca, Irene; Liu, Pan Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme. (English) Zbl 1511.94010 J. Nonlinear Sci. 33, No. 3, Paper No. 41, 38 p. (2023). Reviewer: Oscar Bustos (Córdoba) MSC: 94A08 26B30 47J20 68U10 PDFBibTeX XMLCite \textit{E. Davoli} et al., J. Nonlinear Sci. 33, No. 3, Paper No. 41, 38 p. (2023; Zbl 1511.94010) Full Text: DOI arXiv
Goktas, Sertac; Yilmaz, Emrah; Yar, Ayse Cigdem Multiplicative derivative and its basic properties on time scales. (English) Zbl 1527.26020 Math. Methods Appl. Sci. 45, No. 4, 2097-2109 (2022). MSC: 26E70 26A24 PDFBibTeX XMLCite \textit{S. Goktas} et al., Math. Methods Appl. Sci. 45, No. 4, 2097--2109 (2022; Zbl 1527.26020) Full Text: DOI
D’Elia, Marta; Glusa, Christian A fractional model for anomalous diffusion with increased variability: analysis, algorithms and applications to interface problems. (English) Zbl 07779691 Numer. Methods Partial Differ. Equations 38, No. 6, 2084-2103 (2022). MSC: 65N30 65N12 35J05 35B65 47N20 45P05 31C25 35A01 35A02 26A33 35R11 35R99 PDFBibTeX XMLCite \textit{M. D'Elia} and \textit{C. Glusa}, Numer. Methods Partial Differ. Equations 38, No. 6, 2084--2103 (2022; Zbl 07779691) Full Text: DOI arXiv
Arfaoui, Sabrine; Mabrouk, Anouar Ben Some generalized Clifford-Jacobi polynomials and associated spheroidal wavelets. (English) Zbl 07663684 Anal. Theory Appl. 38, No. 4, 394-416 (2022). MSC: 42C40 26A33 42A38 42B10 44A15 30G35 PDFBibTeX XMLCite \textit{S. Arfaoui} and \textit{A. B. Mabrouk}, Anal. Theory Appl. 38, No. 4, 394--416 (2022; Zbl 07663684) Full Text: DOI arXiv
D’Elia, Marta; Gulian, Mamikon; Mengesha, Tadele; Scott, James M. Connections between nonlocal operators: from vector calculus identities to a fractional Helmholtz decomposition. (English) Zbl 1503.26006 Fract. Calc. Appl. Anal. 25, No. 6, 2488-2531 (2022). MSC: 26A33 26B12 PDFBibTeX XMLCite \textit{M. D'Elia} et al., Fract. Calc. Appl. Anal. 25, No. 6, 2488--2531 (2022; Zbl 1503.26006) Full Text: DOI arXiv
Lv, Hongli; Zhang, Yilin; Wang, Renfang Active contour model based on local absolute difference energy and fractional-order penalty term. (English) Zbl 1503.94009 Appl. Math. Modelling 107, 207-232 (2022). MSC: 94A08 26A33 49K10 49M99 PDFBibTeX XMLCite \textit{H. Lv} et al., Appl. Math. Modelling 107, 207--232 (2022; Zbl 1503.94009) Full Text: DOI
Pagliari, Valerio; Papafitsoros, Kostas; Raiţă, Bogdan; Vikelis, Andreas Bilevel training schemes in imaging for total variation-type functionals with convex integrands. (English) Zbl 1507.94010 SIAM J. Imaging Sci. 15, No. 4, 1690-1728 (2022). Reviewer: Oscar Bustos (Córdoba) MSC: 94A08 26A45 49J21 68U10 90C25 PDFBibTeX XMLCite \textit{V. Pagliari} et al., SIAM J. Imaging Sci. 15, No. 4, 1690--1728 (2022; Zbl 1507.94010) Full Text: DOI arXiv
Shan, Xiujie; Sun, Jiebao; Guo, Zhichang; Yao, Wenjuan; Zhou, Zhenyu Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving. (English) Zbl 1503.65185 BIT 62, No. 4, 1319-1354 (2022). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65F50 65D18 35K55 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{X. Shan} et al., BIT 62, No. 4, 1319--1354 (2022; Zbl 1503.65185) Full Text: DOI
Bartels, Sören; Kaltenbach, Alex Error estimates for total-variation regularized minimization problems with singular dual solutions. (English) Zbl 07621779 Numer. Math. 152, No. 4, 881-906 (2022). MSC: 65-XX 26A45 65N15 65N30 68U10 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{A. Kaltenbach}, Numer. Math. 152, No. 4, 881--906 (2022; Zbl 07621779) Full Text: DOI arXiv
Kreisbeck, Carolin; Ritorto, Antonella; Zappale, Elvira Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals. (English) Zbl 1498.49024 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113111, 33 p. (2022). MSC: 49J45 26B25 PDFBibTeX XMLCite \textit{C. Kreisbeck} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113111, 33 p. (2022; Zbl 1498.49024) Full Text: DOI arXiv
Göktaş, Sertaç; Kemaloğlu, Hikmet; Yilmaz, Emrah Multiplicative conformable fractional Dirac system. (English) Zbl 1510.34188 Turk. J. Math. 46, No. 3, 973-990 (2022). MSC: 34L40 26A33 34L15 34L10 34A08 34B09 47E05 PDFBibTeX XMLCite \textit{S. Göktaş} et al., Turk. J. Math. 46, No. 3, 973--990 (2022; Zbl 1510.34188) Full Text: DOI
Mazón, José M.; Solera, Marcos; Toledo, Julián \((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces. (English) Zbl 1493.05276 Adv. Calc. Var. 15, No. 3, 515-550 (2022). Reviewer: Yilun Shang (Newcastle) MSC: 05C81 05C22 05C80 35R02 05C21 45C99 26A45 PDFBibTeX XMLCite \textit{J. M. Mazón} et al., Adv. Calc. Var. 15, No. 3, 515--550 (2022; Zbl 1493.05276) Full Text: DOI arXiv
Burkovska, Olena; Glusa, Christian; D’Elia, Marta An optimization-based approach to parameter learning for fractional type nonlocal models. (English) Zbl 1524.35678 Comput. Math. Appl. 116, 229-244 (2022). MSC: 35R11 65N30 49M25 49J20 26A33 PDFBibTeX XMLCite \textit{O. Burkovska} et al., Comput. Math. Appl. 116, 229--244 (2022; Zbl 1524.35678) Full Text: DOI arXiv
Silva Louzeiro, Maurício; Bergmann, Ronny; Herzog, Roland Fenchel duality and a separation theorem on Hadamard manifolds. (English) Zbl 07534676 SIAM J. Optim. 32, No. 2, 854-873 (2022). MSC: 90C25 26B25 PDFBibTeX XMLCite \textit{M. Silva Louzeiro} et al., SIAM J. Optim. 32, No. 2, 854--873 (2022; Zbl 07534676) Full Text: DOI arXiv
Nedović, Ljubo; Pap, Endre; Dragić, Đorđe Aggregation of triangle of distortion functions. (English) Zbl 1526.26005 Inf. Sci. 563, 401-417 (2021). MSC: 26E50 26A48 26B25 26B35 PDFBibTeX XMLCite \textit{L. Nedović} et al., Inf. Sci. 563, 401--417 (2021; Zbl 1526.26005) Full Text: DOI
Liao, Xingran; Feng, Minfu Time-fractional diffusion equation-based image denoising model. (English) Zbl 1517.94020 Nonlinear Dyn. 103, No. 2, 1999-2017 (2021). MSC: 94A08 26A33 60G22 PDFBibTeX XMLCite \textit{X. Liao} and \textit{M. Feng}, Nonlinear Dyn. 103, No. 2, 1999--2017 (2021; Zbl 1517.94020) Full Text: DOI
Biermé, Hermine; Desolneux, Agnès The effect of discretization on the mean geometry of a 2D random field. (Effet de la discrétisation sur la géométrie moyenne des champs aléatoires 2D.) (English. French summary) Zbl 1492.60029 Ann. Henri Lebesgue 4, 1295-1345 (2021). MSC: 60D05 26B15 28A75 60G10 60G22 60G60 PDFBibTeX XMLCite \textit{H. Biermé} and \textit{A. Desolneux}, Ann. Henri Lebesgue 4, 1295--1345 (2021; Zbl 1492.60029) Full Text: DOI
Goktas, Sertac A new type of Sturm-Liouville equation in the non-Newtonian calculus. (English) Zbl 1491.34043 J. Funct. Spaces 2021, Article ID 5203939, 8 p. (2021). MSC: 34B24 34L15 26A06 PDFBibTeX XMLCite \textit{S. Goktas}, J. Funct. Spaces 2021, Article ID 5203939, 8 p. (2021; Zbl 1491.34043) Full Text: DOI
Chang, Shih-sen; Yao, Jen-Chih; Wang, Lin; Liu, Min; Zhao, Liangcai On the inertial forward-backward splitting technique for solving a system of inclusion problems in Hilbert spaces. (English) Zbl 07442336 Optimization 70, No. 12, 2511-2525 (2021). MSC: 47-XX 26A18 47H04 47H05 47H10 PDFBibTeX XMLCite \textit{S.-s. Chang} et al., Optimization 70, No. 12, 2511--2525 (2021; Zbl 07442336) Full Text: DOI
Ronse, Christian Flat morphological operators from non-increasing set operators. I: General theory. (English) Zbl 1475.68426 Math. Morphol., Theory Appl. 5, 70-107 (2021). MSC: 68U10 06A06 06B23 06E30 06F20 26A45 PDFBibTeX XMLCite \textit{C. Ronse}, Math. Morphol., Theory Appl. 5, 70--107 (2021; Zbl 1475.68426) Full Text: DOI
Li, Wen; Resmerita, Elena; Vese, Luminita A. Multiscale hierarchical image decomposition and refinements: qualitative and quantitative results. (English) Zbl 1523.94015 SIAM J. Imaging Sci. 14, No. 2, 844-877 (2021). MSC: 94A08 26B30 46N10 PDFBibTeX XMLCite \textit{W. Li} et al., SIAM J. Imaging Sci. 14, No. 2, 844--877 (2021; Zbl 1523.94015) Full Text: DOI
Fan, Bin; Xu, Chuanju Identifying source term in the subdiffusion equation with \(L^2\)-TV regularization. (English) Zbl 1507.65162 Inverse Probl. 37, No. 10, Article ID 105008, 33 p. (2021). Reviewer: Barani Balan Natesan (Thiruvarur) MSC: 65M32 35R30 65M30 65M60 65M06 65N30 65J20 65M12 65M15 60H50 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{B. Fan} and \textit{C. Xu}, Inverse Probl. 37, No. 10, Article ID 105008, 33 p. (2021; Zbl 1507.65162) Full Text: DOI arXiv
Atlas, Abdelghafour; Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Oubbih, Omar A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition. (English) Zbl 1466.94003 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4963-4998 (2021). MSC: 94A08 26A33 35K57 68U10 PDFBibTeX XMLCite \textit{A. Atlas} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4963--4998 (2021; Zbl 1466.94003) Full Text: DOI
Han, Huan; Wang, Andong A fast multi grid algorithm for 2D diffeomorphic image registration model. (English) Zbl 1475.65070 J. Comput. Appl. Math. 394, Article ID 113576, 19 p. (2021). MSC: 65M06 65M55 65M12 49K20 26A33 35R11 68U10 94A08 PDFBibTeX XMLCite \textit{H. Han} and \textit{A. Wang}, J. Comput. Appl. Math. 394, Article ID 113576, 19 p. (2021; Zbl 1475.65070) Full Text: DOI
Belz, Sandro; Bredies, Kristian Approximation of the Mumford-Shah functional by phase fields of bounded variation. (English) Zbl 1460.49009 Anal. Appl., Singap. 19, No. 2, 183-217 (2021). MSC: 49J45 26A45 68U10 PDFBibTeX XMLCite \textit{S. Belz} and \textit{K. Bredies}, Anal. Appl., Singap. 19, No. 2, 183--217 (2021; Zbl 1460.49009) Full Text: DOI arXiv
Córdova-Lepe, Fernando; Del Valle, Rodrigo; Vilches, Karina A new approach to the concept of linearity. Some elements for a multiplicative linear algebra. (English) Zbl 1490.15001 Int. J. Comput. Math. 97, No. 1-2, 109-119 (2020). MSC: 15A03 26E35 PDFBibTeX XMLCite \textit{F. Córdova-Lepe} et al., Int. J. Comput. Math. 97, No. 1--2, 109--119 (2020; Zbl 1490.15001) Full Text: DOI
Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N. Variable step mollifiers and applications. (English) Zbl 1478.46034 Integral Equations Oper. Theory 92, No. 6, Paper No. 53, 34 p. (2020). MSC: 46E35 42B20 49J40 26A45 PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Integral Equations Oper. Theory 92, No. 6, Paper No. 53, 34 p. (2020; Zbl 1478.46034) Full Text: DOI arXiv
Bungert, Leon; Korolev, Yury; Burger, Martin Structural analysis of an \(L\)-infinity variational problem and relations to distance functions. (English) Zbl 1462.35226 Pure Appl. Anal. 2, No. 3, 703-738 (2020). MSC: 35P30 35J20 47J10 47J35 49R05 05C12 26A16 PDFBibTeX XMLCite \textit{L. Bungert} et al., Pure Appl. Anal. 2, No. 3, 703--738 (2020; Zbl 1462.35226) Full Text: DOI arXiv
Wasques, Vinícius F.; Esmi, Estevão; Barros, Laécio C.; Sussner, Peter The generalized fuzzy derivative is interactive. (English) Zbl 1457.26023 Inf. Sci. 519, 93-109 (2020). MSC: 26E50 PDFBibTeX XMLCite \textit{V. F. Wasques} et al., Inf. Sci. 519, 93--109 (2020; Zbl 1457.26023) Full Text: DOI
Alatawi, Maryam; Zhang, Kewei Hausdorff stability and error estimates for compensated convexity based methods for approximation and interpolation for functions in \(\mathbb{R}^n\). (English) Zbl 1528.65033 J. Convex Anal. 27, No. 4, 1277-1302 (2020). MSC: 65K10 26B25 52A41 94A20 94A08 PDFBibTeX XMLCite \textit{M. Alatawi} and \textit{K. Zhang}, J. Convex Anal. 27, No. 4, 1277--1302 (2020; Zbl 1528.65033) Full Text: Link
Chambolle, Antonin; Pock, Thomas Crouzeix-Raviart approximation of the total variation on simplicial meshes. (English) Zbl 1486.49062 J. Math. Imaging Vis. 62, No. 6-7, 872-899 (2020). Reviewer: Hang Lau (Montréal) MSC: 49Q20 26A45 65K10 65N30 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{T. Pock}, J. Math. Imaging Vis. 62, No. 6--7, 872--899 (2020; Zbl 1486.49062) Full Text: DOI
Yao, Wenjuan; Shen, Jie; Guo, Zhichang; Sun, Jiebao; Wu, Boying A total fractional-order variation model for image super-resolution and its SAV algorithm. (English) Zbl 1439.65100 J. Sci. Comput. 82, No. 3, Paper No. 81, 18 p. (2020). MSC: 65M06 65T50 65D18 65K10 65J20 26A33 35R11 35R09 PDFBibTeX XMLCite \textit{W. Yao} et al., J. Sci. Comput. 82, No. 3, Paper No. 81, 18 p. (2020; Zbl 1439.65100) Full Text: DOI
Chowdhury, Mujibur Rahman; Zhang, Jun; Qin, Jing; Lou, Yifei Poisson image denoising based on fractional-order total variation. (English) Zbl 1455.94013 Inverse Probl. Imaging 14, No. 1, 77-96 (2020). MSC: 94A08 65F22 26A33 49J10 49M25 49N45 PDFBibTeX XMLCite \textit{M. R. Chowdhury} et al., Inverse Probl. Imaging 14, No. 1, 77--96 (2020; Zbl 1455.94013) Full Text: DOI
Yao, Wenjuan; Guo, Zhichang; Sun, Jiebao; Wu, Boying; Gao, Huijun Multiplicative noise removal for texture images based on adaptive anisotropic fractional diffusion equations. (English) Zbl 1524.94037 SIAM J. Imaging Sci. 12, No. 2, 839-873 (2019). MSC: 94A08 68U10 26A33 PDFBibTeX XMLCite \textit{W. Yao} et al., SIAM J. Imaging Sci. 12, No. 2, 839--873 (2019; Zbl 1524.94037) Full Text: DOI
Şenol, Mehmet; Iyiola, Olaniyi S.; Daei Kasmaei, Hamed; Akinyemi, Lanre Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent-Miodek system with energy-dependent Schrödinger potential. (English) Zbl 1485.35406 Adv. Difference Equ. 2019, Paper No. 462, 21 p. (2019). MSC: 35R11 26A33 35C10 PDFBibTeX XMLCite \textit{M. Şenol} et al., Adv. Difference Equ. 2019, Paper No. 462, 21 p. (2019; Zbl 1485.35406) Full Text: DOI
Iannazzo, Bruno; Jeuris, Ben; Pompili, Filippo The derivative of the matrix geometric mean with an application to the nonnegative decomposition of tensor grids. (English) Zbl 1445.15017 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 107-128 (2019). Reviewer: V. Lokesha (Bangalore) MSC: 15A60 26E60 47A64 PDFBibTeX XMLCite \textit{B. Iannazzo} et al., Springer INdAM Ser. 30, 107--128 (2019; Zbl 1445.15017) Full Text: DOI
Cristoferi, Riccardo; Fonseca, Irene Piecewise constant reconstruction of damaged color images. (English) Zbl 1437.49030 ESAIM, Control Optim. Calc. Var. 25, Paper No. 37, 27 p. (2019). MSC: 49J99 26B30 68U10 PDFBibTeX XMLCite \textit{R. Cristoferi} and \textit{I. Fonseca}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 37, 27 p. (2019; Zbl 1437.49030) Full Text: DOI arXiv
Lin, Zhenhua Riemannian geometry of symmetric positive definite matrices via Cholesky decomposition. (English) Zbl 07141455 SIAM J. Matrix Anal. Appl. 40, No. 4, 1353-1370 (2019). MSC: 47A64 26E60 53C35 22E99 32F45 53C22 15A22 PDFBibTeX XMLCite \textit{Z. Lin}, SIAM J. Matrix Anal. Appl. 40, No. 4, 1353--1370 (2019; Zbl 07141455) Full Text: DOI arXiv
Akinyemi, Lanre q-homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg-de Vries and Sawada-Kotera equations. (English) Zbl 1449.35427 Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019). MSC: 35R11 26A33 35Q53 PDFBibTeX XMLCite \textit{L. Akinyemi}, Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019; Zbl 1449.35427) Full Text: DOI
Chambolle, Antonin; Pock, Thomas Total roto-translational variation. (English) Zbl 1418.53004 Numer. Math. 142, No. 3, 611-666 (2019). MSC: 53A04 49Q20 26A45 35J35 53A40 65K10 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{T. Pock}, Numer. Math. 142, No. 3, 611--666 (2019; Zbl 1418.53004) Full Text: DOI arXiv
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan A new collection of real world applications of fractional calculus in science and engineering. (English) Zbl 1509.26005 Commun. Nonlinear Sci. Numer. Simul. 64, 213-231 (2018). MSC: 26A33 PDFBibTeX XMLCite \textit{H. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 64, 213--231 (2018; Zbl 1509.26005) Full Text: DOI
Gao, Yiming; Bredies, Kristian Infimal convolution of oscillation total generalized variation for the recovery of images with structured texture. (English) Zbl 1419.94004 SIAM J. Imaging Sci. 11, No. 3, 2021-2063 (2018). MSC: 94A08 68U10 26A45 90C90 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{K. Bredies}, SIAM J. Imaging Sci. 11, No. 3, 2021--2063 (2018; Zbl 1419.94004) Full Text: DOI arXiv
Combettes, Patrick L. Perspective functions: properties, constructions, and examples. (English) Zbl 1396.26021 Set-Valued Var. Anal. 26, No. 2, 247-264 (2018). MSC: 26B25 26B35 90C25 PDFBibTeX XMLCite \textit{P. L. Combettes}, Set-Valued Var. Anal. 26, No. 2, 247--264 (2018; Zbl 1396.26021) Full Text: DOI arXiv
Medina, Juan Miguel; Cernuschi-Frías, Bruno Some localization properties of the \(L^p\) continuous wavelet transform. (English) Zbl 1408.42031 Numer. Funct. Anal. Optim. 39, No. 1, 87-99 (2018). Reviewer: Zygmunt Hasiewicz (Wrocław) MSC: 42C40 26D15 42C99 PDFBibTeX XMLCite \textit{J. M. Medina} and \textit{B. Cernuschi-Frías}, Numer. Funct. Anal. Optim. 39, No. 1, 87--99 (2018; Zbl 1408.42031) Full Text: DOI
Ferreira, Rita; Fonseca, Irene; Mascarenhas, M. Luísa A chromaticity-brightness model for color images denoising in a Meyer’s “\(u + v\)” framework. (English) Zbl 1379.49011 Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 140, 53 p. (2017). Reviewer: Guy Jumarie (Montréal) MSC: 49J45 26B30 94A08 PDFBibTeX XMLCite \textit{R. Ferreira} et al., Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 140, 53 p. (2017; Zbl 1379.49011) Full Text: DOI arXiv
Karmanova, M. B. The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups. (English. Russian original) Zbl 1375.53045 Sib. Math. J. 58, No. 2, 232-254 (2017); translation from Sib. Mat. Zh. 58, No. 2, 305-332 (2017). Reviewer: Vyron Vellis (Storrs) MSC: 53C17 26B35 PDFBibTeX XMLCite \textit{M. B. Karmanova}, Sib. Math. J. 58, No. 2, 232--254 (2017; Zbl 1375.53045); translation from Sib. Mat. Zh. 58, No. 2, 305--332 (2017) Full Text: DOI
Valkonen, T. The jump set under geometric regularisation. II: Higher-order approaches. (English) Zbl 1373.49055 J. Math. Anal. Appl. 453, No. 2, 1044-1085 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49Q20 47A52 26A45 PDFBibTeX XMLCite \textit{T. Valkonen}, J. Math. Anal. Appl. 453, No. 2, 1044--1085 (2017; Zbl 1373.49055) Full Text: DOI arXiv
Hu, Xiao-Xiao; Kou, Kit Ian Quaternion Fourier and linear canonical inversion theorems. (English) Zbl 1362.42012 Math. Methods Appl. Sci. 40, No. 7, 2421-2440 (2017). MSC: 42A38 26B30 47S10 PDFBibTeX XMLCite \textit{X.-X. Hu} and \textit{K. I. Kou}, Math. Methods Appl. Sci. 40, No. 7, 2421--2440 (2017; Zbl 1362.42012) Full Text: DOI arXiv
Özyapıcı, Ali; Sensoy, Zehra B.; Karanfiller, Tolgay Effective root-finding methods for nonlinear equations based on multiplicative calculi. (English) Zbl 1487.65054 J. Math. 2016, Article ID 8174610, 7 p. (2016). MSC: 65H05 26A06 26A24 PDFBibTeX XMLCite \textit{A. Özyapıcı} et al., J. Math. 2016, Article ID 8174610, 7 p. (2016; Zbl 1487.65054) Full Text: DOI
Yang, Qi; Chen, Dali; Zhao, Tiebiao; Chen, YangQuan Fractional calculus in image processing: a review. (English) Zbl 1499.94016 Fract. Calc. Appl. Anal. 19, No. 5, 1222-1249 (2016). MSC: 94A08 26A33 34A08 35R11 68U10 PDFBibTeX XMLCite \textit{Q. Yang} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1222--1249 (2016; Zbl 1499.94016) Full Text: DOI arXiv
Mirebeau, Jean-Marie Adaptive, anisotropic and hierarchical cones of discrete convex functions. (English) Zbl 1343.65073 Numer. Math. 132, No. 4, 807-853 (2016). Reviewer: Costică Moroşanu (Iaşi) MSC: 65K05 90C25 26B25 52A41 91B24 PDFBibTeX XMLCite \textit{J.-M. Mirebeau}, Numer. Math. 132, No. 4, 807--853 (2016; Zbl 1343.65073) Full Text: DOI arXiv
Dong, Fangfang; Chen, Yunmei A fractional-order derivative based variational framework for image denoising. (English) Zbl 1335.49048 Inverse Probl. Imaging 10, No. 1, 27-50 (2016). MSC: 49M29 49K20 65K10 94A08 68U10 26A33 PDFBibTeX XMLCite \textit{F. Dong} and \textit{Y. Chen}, Inverse Probl. Imaging 10, No. 1, 27--50 (2016; Zbl 1335.49048) Full Text: DOI
Ozyapici, Ali; Bilgehan, Bülent Finite product representation via multiplicative calculus and its applications to exponential signal processing. (English) Zbl 1398.94062 Numer. Algorithms 71, No. 2, 475-489 (2016). MSC: 94A12 00A71 26A06 PDFBibTeX XMLCite \textit{A. Ozyapici} and \textit{B. Bilgehan}, Numer. Algorithms 71, No. 2, 475--489 (2016; Zbl 1398.94062) Full Text: DOI
Yin, Xuehui; Zhou, Shangbo Image structure-preserving denoising based on difference curvature driven fractional nonlinear diffusion. (English) Zbl 1395.94186 Math. Probl. Eng. 2015, Article ID 930984, 16 p. (2015). MSC: 94A12 26A33 35R11 PDFBibTeX XMLCite \textit{X. Yin} and \textit{S. Zhou}, Math. Probl. Eng. 2015, Article ID 930984, 16 p. (2015; Zbl 1395.94186) Full Text: DOI
Kadak, Uğur; Özlük, Muharrem Generalized Runge-Kutta method with respect to the non-Newtonian calculus. (English) Zbl 1347.65122 Abstr. Appl. Anal. 2015, Article ID 594685, 10 p. (2015). MSC: 65L06 26A99 PDFBibTeX XMLCite \textit{U. Kadak} and \textit{M. Özlük}, Abstr. Appl. Anal. 2015, Article ID 594685, 10 p. (2015; Zbl 1347.65122) Full Text: DOI
Papafitsoros, Konstantinos; Bredies, Kristian A study of the one dimensional total generalised variation regularisation problem. (English) Zbl 1336.49044 Inverse Probl. Imaging 9, No. 2, 511-550 (2015). MSC: 49N45 49Q20 49N60 26B30 65J22 65J20 94A08 PDFBibTeX XMLCite \textit{K. Papafitsoros} and \textit{K. Bredies}, Inverse Probl. Imaging 9, No. 2, 511--550 (2015; Zbl 1336.49044) Full Text: DOI arXiv
Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel Analysis and application of a nonlocal Hessian. (English) Zbl 1330.94010 SIAM J. Imaging Sci. 8, No. 4, 2161-2202 (2015). MSC: 94A08 65D18 68U10 26B30 26B35 35A15 49J45 49N45 49J40 49Q20 PDFBibTeX XMLCite \textit{J. Lellmann} et al., SIAM J. Imaging Sci. 8, No. 4, 2161--2202 (2015; Zbl 1330.94010) Full Text: DOI arXiv
Vincze, Csaba; Nagy, Ábris Generalized conic functions of hv-convex planar sets: continuity properties and relations to X-rays. (English) Zbl 1348.52002 Aequationes Math. 89, No. 4, 1015-1030 (2015). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 52A10 26B25 52A41 PDFBibTeX XMLCite \textit{C. Vincze} and \textit{Á. Nagy}, Aequationes Math. 89, No. 4, 1015--1030 (2015; Zbl 1348.52002) Full Text: DOI arXiv Link
Valkonen, Tuomo The jump set under geometric regularization. Part 1: Basic technique and first-order denoising. (English) Zbl 1325.49053 SIAM J. Math. Anal. 47, No. 4, 2587-2629 (2015). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49Q20 65J20 26B30 PDFBibTeX XMLCite \textit{T. Valkonen}, SIAM J. Math. Anal. 47, No. 4, 2587--2629 (2015; Zbl 1325.49053) Full Text: DOI arXiv
Pu, Yifei; Siarry, Patrick; Zhou, Jiliu; Liu, Yiguang; Zhang, Ni; Huang, Guo; Liu, Yizhi Fractional partial differential equation denoising models for texture image. (English) Zbl 1343.94012 Sci. China, Inf. Sci. 57, No. 7, Article ID 072115, 19 p. (2014). MSC: 94A08 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Pu} et al., Sci. China, Inf. Sci. 57, No. 7, Article ID 072115, 19 p. (2014; Zbl 1343.94012) Full Text: DOI Link
Kruger, Alexander Y.; Thao, Nguyen H. About \([q]\)-regularity properties of collections of sets. (English) Zbl 1315.49006 J. Math. Anal. Appl. 416, No. 2, 471-496 (2014). MSC: 49J53 49J52 26E25 49N60 PDFBibTeX XMLCite \textit{A. Y. Kruger} and \textit{N. H. Thao}, J. Math. Anal. Appl. 416, No. 2, 471--496 (2014; Zbl 1315.49006) Full Text: DOI arXiv
Pu, Yi-Fei; Siarry, Patrick; Zhou, Ji-Liu; Zhang, Ni A fractional partial differential equation based multiscale denoising model for texture image. (English) Zbl 1301.35203 Math. Methods Appl. Sci. 37, No. 12, 1784-1806 (2014). MSC: 35R11 94A08 26A33 68U10 PDFBibTeX XMLCite \textit{Y.-F. Pu} et al., Math. Methods Appl. Sci. 37, No. 12, 1784--1806 (2014; Zbl 1301.35203) Full Text: DOI
Angelov, Angel; Wagner, Marcus Multimodal image registration by elastic matching of edge sketches via optimal control. (English) Zbl 1275.49004 J. Ind. Manag. Optim. 10, No. 2, 567-590 (2014). MSC: 49J20 68U10 49M37 74B05 74B20 26B25 PDFBibTeX XMLCite \textit{A. Angelov} and \textit{M. Wagner}, J. Ind. Manag. Optim. 10, No. 2, 567--590 (2014; Zbl 1275.49004) Full Text: DOI
Chen, Dali; Chen, Yang Quan; Xue, Dingyu Fractional-order total variation image restoration based on primal-dual algorithm. (English) Zbl 1364.94091 Abstr. Appl. Anal. 2013, Article ID 585310, 10 p. (2013). MSC: 94A08 26A33 90C90 PDFBibTeX XMLCite \textit{D. Chen} et al., Abstr. Appl. Anal. 2013, Article ID 585310, 10 p. (2013; Zbl 1364.94091) Full Text: DOI
Ribeiro, Ana Margarida; Zappale, Elvira Relaxation of certain integral functionals depending on strain and chemical composition. (English) Zbl 1275.49021 Chin. Ann. Math., Ser. B 34, No. 4, 491-514 (2013). MSC: 49J45 26B25 26B30 74F99 PDFBibTeX XMLCite \textit{A. M. Ribeiro} and \textit{E. Zappale}, Chin. Ann. Math., Ser. B 34, No. 4, 491--514 (2013; Zbl 1275.49021) Full Text: DOI arXiv
Zang, Rui; Ma, Yaoqi; Liu, Yuhui \((F, K, b)\)-vex sets and some related properties. (English) Zbl 1280.26020 Int. J. Comput. Math. 90, No. 5, 937-943 (2013). MSC: 26A51 46N10 90C30 94A08 PDFBibTeX XMLCite \textit{R. Zang} et al., Int. J. Comput. Math. 90, No. 5, 937--943 (2013; Zbl 1280.26020) Full Text: DOI
Edelsbrunner, Herbert; Fasy, Brittany Terese; Rote, Günter Add isotropic Gaussian kernels at own risk: more and more resilient modes in higher dimensions. (English) Zbl 1282.26019 Discrete Comput. Geom. 49, No. 4, 797-822 (2013). Reviewer: Nelson J. Merentes (Caracas) MSC: 26B40 62F35 62E99 PDFBibTeX XMLCite \textit{H. Edelsbrunner} et al., Discrete Comput. Geom. 49, No. 4, 797--822 (2013; Zbl 1282.26019) Full Text: DOI
Bonnabel, Silvère; Collard, Anne; Sepulchre, Rodolphe Rank-preserving geometric means of positive semi-definite matrices. (English) Zbl 1267.15028 Linear Algebra Appl. 438, No. 8, 3202-3216 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 15B48 15B57 26E60 47A64 15A03 15A60 15A23 15B10 PDFBibTeX XMLCite \textit{S. Bonnabel} et al., Linear Algebra Appl. 438, No. 8, 3202--3216 (2013; Zbl 1267.15028) Full Text: DOI arXiv
Han, Sang-Eon Extension of continuity of maps between axiomatic locally finite spaces. (English) Zbl 1254.54026 Int. J. Comput. Math. 88, No. 14, 2889-2900 (2011). Reviewer: Bikram Banerjee (Kolkata) MSC: 54C20 54C08 57Q05 26A15 68U05 PDFBibTeX XMLCite \textit{S.-E. Han}, Int. J. Comput. Math. 88, No. 14, 2889--2900 (2011; Zbl 1254.54026) Full Text: DOI
Zhang, Jun; Wei, Zhihui A class of fractional-order multi-scale variational models and alternating projection algorithm for image denoising. (English) Zbl 1217.94024 Appl. Math. Modelling 35, No. 5, 2516-2528 (2011). MSC: 94A08 68U10 49K10 26A33 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Z. Wei}, Appl. Math. Modelling 35, No. 5, 2516--2528 (2011; Zbl 1217.94024) Full Text: DOI
Wang, Shuming; Watada, Junzo Some properties of T-independent fuzzy variables. (English) Zbl 1217.60004 Math. Comput. Modelling 53, No. 5-6, 970-984 (2011). MSC: 60A86 26E50 PDFBibTeX XMLCite \textit{S. Wang} and \textit{J. Watada}, Math. Comput. Modelling 53, No. 5--6, 970--984 (2011; Zbl 1217.60004) Full Text: DOI
Valkonen, Tuomo Transport equation and image interpolation with SBD velocity fields. (English) Zbl 1229.49053 J. Math. Pures Appl. (9) 95, No. 5, 459-494 (2011). MSC: 49Q20 49J20 26B30 94A08 PDFBibTeX XMLCite \textit{T. Valkonen}, J. Math. Pures Appl. (9) 95, No. 5, 459--494 (2011; Zbl 1229.49053) Full Text: DOI
Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M. Exact reconstruction of damaged color images using a total variation model. (English) Zbl 1198.49045 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 5, 1291-1331 (2010). MSC: 49Q20 26B30 68U10 94A08 49N90 PDFBibTeX XMLCite \textit{I. Fonseca} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 5, 1291--1331 (2010; Zbl 1198.49045) Full Text: DOI
Kyratzi, Sofia; Sapidis, Nickolas S. From sketch to solid: An algebraic cross-section criterion for the realizability of a wireframe sketch. (English) Zbl 1197.05035 Computing 86, No. 2-3, 219-234 (2009). MSC: 05C10 11E39 17-08 26D99 34G20 51N99 52B70 68U05 68U07 93C10 PDFBibTeX XMLCite \textit{S. Kyratzi} and \textit{N. S. Sapidis}, Computing 86, No. 2--3, 219--234 (2009; Zbl 1197.05035) Full Text: DOI