most citedConvex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle-Pock algorithm

360 citations · 387 across the 5 of their papers we have counts for

collaborators

5 papers

physics.med-ph2011

Ensuring convergence in total-variation-based reconstruction for accurate microcalcification imaging in breast X-ray CT

Jakob H. Jørgensen, Emil Y. Sidky, Xiaochuan Pan

Breast X-ray CT imaging is being considered in screening as an extension to mammography. As a large fraction of the population will be exposed to radiation, low-dose imaging is ess…

math.NA2011★ 360 cited

Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle-Pock algorithm

Emil Y. Sidky, Jakob H. Jørgensen, Xiaochuan Pan

The primal-dual optimization algorithm developed in Chambolle and Pock (CP), 2011 is applied to various convex optimization problems of interest in computed tomography (CT) image r…

physics.med-ph2011★ 3 cited

Quantifying admissible undersampling for sparsity-exploiting iterative image reconstruction in X-ray CT

Jakob H. Jørgensen, Emil Y. Sidky, Xiaochuan Pan

Iterative image reconstruction (IIR) with sparsity-exploiting methods, such as total variation (TV) minimization, investigated in compressive sensing (CS) claim potentially large r…

math.NA2011★ 23 cited

Accelerated gradient methods for total-variation-based CT image reconstruction

Jakob Heide Jørgensen, Tobias Lindstrøm Jensen, Per Christian Hansen +3

Total-variation (TV)-based Computed Tomography (CT) image reconstruction has shown experimentally to be capable of producing accurate reconstructions from sparse-view data. In part…

math.NA2011★ 1 cited

Implementation of an Optimal First-Order Method for Strongly Convex Total Variation Regularization

Tobias Lindstrøm Jensen, Jakob Heide Jørgensen, Per Christian Hansen +1

We present a practical implementation of an optimal first-order method, due to Nesterov, for large-scale total variation regularization in tomographic reconstruction, image deblurr…