Found 159 Documents (Results 1–100)
Nonconvex weighted variational metal artifacts removal via convergent primal-dual algorithms. (English) Zbl 07867309
Efficient gradient-based optimization for reconstructing binary images in applications to electrical impedance tomography. (English) Zbl 1542.92063
Regularized graph cuts based discrete tomography reconstruction methods. (English) Zbl 1504.90176
MSC:
90C35
Range-relaxed strategy applied to the Levenberg-Marquardt method with uniformly convex penalization term in Banach spaces. (English) Zbl 1495.49011
A new step size rule for the superiorization method and its application in computerized tomography. (English) Zbl 1492.65169
Iterative regularization for constrained minimization formulations of nonlinear inverse problems. (English) Zbl 1487.90605
MSC:
90C30
Learning to scan: a deep reinforcement learning approach for personalized scanning in CT imaging. (English) Zbl 1482.92044
Computational complexity of three-dimensional discrete tomography with missing data. (English) Zbl 1473.90008
Non-convex \(\ell_p\) regularization for sparse reconstruction of electrical impedance tomography. (English) Zbl 1472.35369
Guided image filtering based \(\ell_0\) gradient minimization for limited-angle CT image reconstruction. (English) Zbl 1470.94024
Convergence of proximal gradient algorithm in the presence of adjoint mismatch. (English) Zbl 1466.94004
Compressed sensing-based reconstruction for computed tomography with translational trajectory. (English) Zbl 1466.94008
Convergence and stability analysis of the half thresholding based few-view CT reconstruction. (English) Zbl 1465.94011
Relaxed Gauss-Newton methods with applications to electrical impedance tomography. (English) Zbl 1465.65090
Reviewer: Christian Clason (Graz)
A minimisation problem in \(L^\infty\) with PDE and unilateral constraints. (English) Zbl 1451.35240
Image reconstruction method for exterior circular cone-beam CT based on weighted directional total variation in cylindrical coordinates. (English) Zbl 1444.94013
Unconstraining graph-constrained group testing. (English) Zbl 07650113
Achlioptas, Dimitris (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques, 22nd international conference, APPROX 2019, and 23rd international conference, RANDOM 2019, Massachusetts Institute of Technology, Cambridge, MA, USA, September 20–22, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 145, Article 46, 20 p. (2019).
An image reconstruction model regularized by edge-preserving diffusion and smoothing for limited-angle computed tomography. (English) Zbl 07089976
Painless breakups – efficient demixing of low rank matrices. (English) Zbl 1428.15017
Reviewer: Juan Ramon Torregrosa Sanchez (Valencia)
A multi-channel DART algorithm. (English) Zbl 1519.68311
Barneva, Reneta P. (ed.) et al., Combinatorial image analysis. 19th international workshop, IWCIA 2018, Porto, Portugal, November 22–24, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11255, 164-178 (2018).
Low-dose spectral CT reconstruction using image gradient \(\ell_0\)-norm and tensor dictionary. (English) Zbl 1480.92117
A non-smooth and non-convex regularization method for limited-angle CT image reconstruction. (English) Zbl 1404.94011
Under-relaxed quasi-Newton acceleration for an inverse fixed-point problem coming from positron emission tomography. (English) Zbl 1416.90046
PET-MRI joint reconstruction by joint sparsity based tight frame regularization. (English) Zbl 1401.65064
Reconstruction of 3D X-ray CT images from reduced sampling by a scaled gradient projection algorithm. (English) Zbl 1406.90118
Existence and convergence analysis of \(\ell_{0}\) and \(\ell_{2}\) regularizations for limited-angle CT reconstruction. (English) Zbl 1395.90246
Identifying conductivity in electrical impedance tomography with total variation regularization. (English) Zbl 1397.65238
Reviewer: Michael Jung (Dresden)
Reconstruction of nearly convex colored images. (English) Zbl 1486.68234
Brimkov, Valentin E. (ed.) et al., Combinatorial image analysis. 18th international workshop, IWCIA 2017, Plovdiv, Bulgaria, June 19–21, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10256, 334-346 (2017).
A conjugate subgradient algorithm with adaptive preconditioning for the least absolute shrinkage and selection operator minimization. (English) Zbl 1378.65091
MRI-based electric properties tomography with a quasi-Newton approach. (English) Zbl 1382.78010
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Variational regularization strategy for atmospheric tomography. (English) Zbl 1366.49002
Göttingen: Univ. Göttingen (Diss.). viii, 79 p. (2016).
Interval simulated annealing applied to electrical impedance tomography image reconstruction with fast objective function evaluation. (English) Zbl 1357.65245
MOCCA: mirrored convex/concave optimization for nonconvex composite functions. (English) Zbl 1391.90486
Error bounds and stability in the \(\ell_0\) regularized for CT reconstruction from small projections. (English) Zbl 1348.90671
Randomized sparse block Kaczmarz as randomized dual block-coordinate descent. (English) Zbl 1349.65194
Reconstruction of bicolored images. (English) Zbl 1486.68226
Barneva, Reneta P. (ed.) et al., Combinatorial image analysis. 17th international workshop, IWCIA 2015, Kolkata, India, November 24–27, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9448, 276-283 (2015).
Empirical average-case relation between undersampling and sparsity in X-ray CT. (English) Zbl 1332.90393
Alternating minimization algorithm with automatic relevance determination for transmission tomography under Poisson noise. (English) Zbl 1330.94009
A semismooth Newton-CG method for constrained parameter identification in seismic tomography. (English) Zbl 1325.86001
Alternating direction method for the high-order total variation-based Poisson noise removal problem. (English) Zbl 1320.65034
A globally convergent algorithm for a PDE-constrained optimization problem arising in electrical impedance tomography. (English) Zbl 1319.65050
Vector optimization in medical engineering. (English) Zbl 1309.92049
Pardalos, Panos M. (ed.) et al., Mathematics without boundaries. Surveys in interdisciplinary research. New York, NY: Springer (ISBN 978-1-4939-1123-3/hbk; 978-1-4939-1124-0/ebook). 181-215 (2014).
Iterated preconditioned LSQR method for inverse problems on unstructured grids. (English) Zbl 1321.65094
Iterative optimization in inverse problems. (English) Zbl 1285.65035
Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-2233-3/hbk; 978-1-4822-2234-0/ebook). xx, 279 p. (2014).
Reviewer: Jan Lovíšek (Bratislava)
Corrigendum: “Efficient gradient projection methods for edge-preserving removal of Poisson noise”. (English) Zbl 1284.65071
Sparse shape reconstruction. (English) Zbl 1281.65026
General convergent expectation maximization (EM)-type algorithms for image reconstruction. (English) Zbl 1272.90092
Sparse tomography. (English) Zbl 1275.65089
A convergence result on random products of mappings in metric spaces. (English) Zbl 1320.47063
Reviewer: T. D. Narang (Amritsar)
An effective method for parameter estimation with PDE constraints with multiple right-hand sides. (English) Zbl 1253.35220
Iterative algorithms for total variation-like reconstructions in seismic tomography. (English) Zbl 1259.86006
A primal-dual interior-point framework for using the L1 or L2 norm on the data and regularization terms of inverse problems. (English) Zbl 1254.65073
Implementation of an optimal first-order method for strongly convex total variation regularization. (English) Zbl 1256.65063
Reviewer: Werner H. Schmidt (Greifswald)
Variational quantum tomography with incomplete information by means of semidefinite programs. (English) Zbl 1266.81043
A regularized Gauss-Newton trust region approach to imaging in diffuse optical tomography. (English) Zbl 1245.65065
Reviewer: Akrur Behera (Rourkela)
On a generalization of the iterative soft-thresholding algorithm for the case of non-separable penalty. (English) Zbl 1233.65039
Reviewer: Hang Lau (Montréal)
On perturbed steepest descent methods with inexact line search for bilevel convex optimization. (English) Zbl 1233.90233
MSC:
90C25
Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming. (English) Zbl 1216.92045
Investigation of temperature parallel simulated annealing for optimizing continuous functions with application to hyperspectral tomography. (English) Zbl 1209.65057
A simulated annealing for reconstructing hv-convex binary matrices. (English) Zbl 1237.90262
Haouari, M. (ed.) et al., ISCO 2010. International symposium on combinatorial optimization. Papers based on the presentations at the symposium, Hammamet, Tunesia, March 24–26, 2010. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 36, 447-454 (2010).
Efficient calculation of gradients based on automatic differentiation for nonlinear optimization problems like optical tomography. (English) Zbl 1462.65062
Comparison of approaches based on optimization and algebraic iteration for binary tomography. (English) Zbl 1219.65041
A Lagrangean approach to reconstruct bicolored images from discrete orthogonal projections. (English) Zbl 1265.68323
Discrete tomography by convex-concave regularization using linear und quadratic optimization. (English) Zbl 1196.90008
Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). xxvi, 194 p. (2009).
Efficient gradient projection methods for edge-preserving removal of Poisson noise. (English) Zbl 1163.65042
Inverse Probl. 25, No. 4, Article ID 045010, 24 p. (2009); corrigendum ibid. 29, No. 11, Article ID 119501, 4 p. (2013).
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