Found 138 Documents (Results 1–100)
Total variation regularization analysis for inverse volatility option pricing problem. (English) Zbl 07889419
Monotonicity properties of limits of solutions to the semidiscrete scheme for a class of Perona-Malik type equations. (English) Zbl 1535.35037
Template-based CT reconstruction with optimal transport and total generalized variation. (English) Zbl 1526.92030
MSC:
92C55
Boundedness and unboundedness in total variation regularization. (English) Zbl 1527.49036
Reviewer: Lakehal Belarbi (Mostaganem)
On and beyond total variation regularization in imaging: the role of space variance. (English) Zbl 07725064
Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging. (English) Zbl 1518.94005
TV-based spline reconstruction with Fourier measurements: uniqueness and convergence of grid-based methods. (English) Zbl 1504.94032
An optimal bilevel optimization model for the generalized total variation and anisotropic tensor parameters selection. (English) Zbl 1510.49030
Extremal points of total generalized variation balls in 1D: characterization and applications. (English) Zbl 1511.46006
Image denoising via a new hybrid TGV model based on Shannon interpolation. (English) Zbl 1538.94013
MSC:
94A08
A wavelet frame constrained total generalized variation model for imaging conductivity distribution. (English) Zbl 1494.78011
Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization. (English) Zbl 07559547
A novel mesh denoising method based on relaxed second-order total generalized variation. (English) Zbl 1478.65066
Image restoration: structured low rank matrix framework for piecewise smooth functions and beyond. (English) Zbl 1484.65040
Low-dose CT image reconstruction based on wavelet-TGV and non-convex penalty function. (English) Zbl 1483.92091
MSC:
92C55
Sparsity reconstruction using nonconvex TGpV-shearlet regularization and constrained projection. (English) Zbl 1510.94029
Image restoration under Cauchy noise with sparse representation prior and total generalized variation. (English) Zbl 1474.68435
Total generalized variation denoising of speckled images using a primal-dual algorithm. (English) Zbl 1478.94064
Non-convex and convex coupling image segmentation via TGpV regularization and thresholding. (English) Zbl 1488.94042
An efficient interpolation approach for exploring the parameter space of regularized tomography algorithms. (English) Zbl 1464.68431
Nonlocal TGV reconstruction algorithm based on PICCS for spectral CT. (Chinese. English summary) Zbl 1463.92025
MSC:
92C55
Compressive total variation for image reconstruction and restoration. (English) Zbl 1446.94008
MSC:
94A08
Box constrained total generalized variation model and primal-dual algorithm for Poisson noise removal. (English) Zbl 1457.94023
Reviewer: Wiesław Kotarski (Sosnowiec)
Non-smooth variational regularization for processing manifold-valued data. (English) Zbl 1512.65094
Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 51-93 (2020).
MSC:
65J22
Shearlet-TGV based model for restoring noisy images corrupted by Cauchy noise. (English) Zbl 1437.49014
A total variation based regularizer promoting piecewise-Lipschitz reconstructions. (English) Zbl 1537.68203
Lellmann, Jan (ed.) et al., Scale space and variational methods in computer vision. 7th international conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11603, 485-497 (2019).
A new regularization term based on second order total generalized variation for image denoising problems. (English) Zbl 1500.94005
MSC:
94A08
Strain analysis by a total generalized variation regularized optical flow model. (English) Zbl 1464.94002
An efficient Peaceman-Rachford splitting method for constrained TGV-shearlet-based MRI reconstruction. (English) Zbl 1466.92099
MSC:
92C55
Generating structured nonsmooth priors and associated primal-dual methods. (English) Zbl 1446.49025
Kimmel, Ron (ed.) et al., Processing, analyzing and learning of images, shapes, and forms. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 20, 437-502 (2019).
Deflectometry and image denoising. (English) Zbl 1434.94002
Göttingen: Cuvillier; Braunschweig: TU Braunschweig (Diss.) (ISBN 978-3-7369-9997-8/pbk; 978-3-7369-8997-9/ebook). vii, 106 p. (2019).
MSC:
94-02
Novel aspects of total variation-type regularization in imaging. (English) Zbl 1430.68003
Münster: Westfälische Wilhelms-Universität Münster, Fachbereich Mathematik und Informatik (Diss.). ix, 431 p. (2019).
Doubly penalized estimation in additive regression with high-dimensional data. (English) Zbl 1436.62358
Reviewer: Fraser Daly (Edinburgh)
Adapting total generalized variation for blind image restoration. (English) Zbl 1441.94024
MSC:
94A08
Nonconvex TGV regularization model for multiplicative noise removal with spatially varying parameters. (English) Zbl 1491.94009
Total generalized variation restoration with non-quadratic fidelity. (English) Zbl 1448.94013
MSC:
94A08
Infimal convolution of oscillation total generalized variation for the recovery of images with structured texture. (English) Zbl 1419.94004
Priors with coupled first and second order differences for manifold-valued image processing. (English) Zbl 1436.49040
Using generalized cross validation to select regularization parameter for total variation regularization problems. (English) Zbl 1405.94021
Reviewer: Constantin Popa (Constanţa)
Spatially dependent regularization parameter selection for total generalized variation-based image denoising. (English) Zbl 1423.94009
Speckle noise removal in ultrasound images by first- and second-order total variation. (English) Zbl 1391.94105
Reviewer: Hang Lau (Montréal)
One dimensional fractional order TGV: gamma-convergence and bilevel training scheme. (English) Zbl 1441.94007
Directional total generalized variation regularization for impulse noise removal. (English) Zbl 1489.94013
Lauze, François (ed.) et al., Scale space and variational methods in computer vision. 6th international conference, SSVM 2017, Kolding, Denmark, June 4–8, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10302, 221-231 (2017).
MSC:
94A08
On optical flow models for variational motion estimation. (English) Zbl 1406.49037
Bergounioux, Maïtine (ed.) et al., Variational methods. In imaging and geometric control. Berlin: De Gruyter (ISBN 978-3-11-043923-6/hbk; 978-3-11-043039-4/ebook; 978-3-11-043040-0/set). Radon Series on Computational and Applied Mathematics 18, 225-251 (2017).
Research on Poisson noise image restoration problems based on shearlet transform. (Chinese. English summary) Zbl 1389.94016
MSC:
94A08
The degrees of freedom of partly smooth regularizers. (English) Zbl 1382.62027
Reviewer: Oleksandr Kukush (Kyïv)
Total generalized variation based denoising models for ultrasound images. (English) Zbl 1372.65059
Reviewer: Manfred Tasche (Rostock)
Periodic perturbations of unbounded Jacobi matrices. I: Asymptotics of generalized eigenvectors. (English) Zbl 1367.47040
Augmented Lagrangian method for total generalized variation based Poissonian image restoration. (English) Zbl 1443.94024
MSC:
94A08
A convex total generalized variation regularized model for multiplicative noise and blur removal. (English) Zbl 1410.94016
Rate of convergence analysis of dual-based variables decomposition methods for strongly convex problems. (English) Zbl 1408.90233
MOCCA: mirrored convex/concave optimization for nonconvex composite functions. (English) Zbl 1391.90486
Artifact-free variational MPEG decompression. (English) Zbl 1444.94005
Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 216-228 (2015).
A TGV-based framework for variational image decompression, zooming, and reconstruction. II: Numerics. (English) Zbl 1333.94007
A TGV-based framework for variational image decompression, zooming, and reconstruction. I: Analytics. (English) Zbl 1333.94006
A study of the one dimensional total generalised variation regularisation problem. (English) Zbl 1336.49044
A blurred image restoration method based on second-order total generalized variation regularization. (Chinese. English summary) Zbl 1340.68223
Interior tomography using 1D generalized total variation. II: Multiscale implementation. (English) Zbl 1328.65267
Preconditioned Douglas-Rachford algorithms for TV- and TGV-regularized variational imaging problems. (English) Zbl 1343.94003
MSC:
94A08
On iteratively reweighted algorithms for nonsmooth nonconvex optimization in computer vision. (English) Zbl 1326.65078
Interior tomography using 1D generalized total variation. I: Mathematical foundation. (English) Zbl 1316.44002
Exact solutions of one-dimensional total generalized variation. (English) Zbl 1316.49021
Reviewer: Sorin-Mihai Grad (Chemnitz)
Compressed sensing MR image reconstruction exploiting TGV and wavelet sparsity. (English) Zbl 1423.92192
An additive convolution model for fast restoration of nonuniform blurred images. (English) Zbl 1307.62158
On infimal convolution of TV-type functionals and applications to video and image reconstruction. (English) Zbl 1308.94019
Regularization of linear inverse problems with total generalized variation. (English) Zbl 1302.65167
Iterative reweighted total generalized variation based Poisson noise removal model. (English) Zbl 1329.94016
MSC:
94A08
Nonconvex TV\(^q\)-models in image restoration: analysis and a trust-region regularization-based superlinearly convergent solver. (English) Zbl 1281.65033
Spatially dependent regularization parameter selection in total generalized variation models for image restoration. (English) Zbl 1278.68327
Advanced image reconstruction and denoising. Bregmanized (higher order) total variation and application in PET. (English) Zbl 1271.94001
Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). 130 p. (2013).
Dependence of solutions and eigenvalues of measure differential equations on measures. (English) Zbl 1267.34014
Reviewer: Antonín Slavík (Praha)
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