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  • Asmussens Allé, 303B, 114

    2800 Kgs. Lyngby

    Denmark

1984 …2022
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Research Output 1984 2019

2019
37 Downloads (Pure)

Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector

Dong, Y., Hansen, P. C., Hochstenbach, M. E. & Riis, N. A. B., 2019, In : S I A M Review. 41, 3, p. A1822-A1839

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

Hybrid enriched bidiagonalization for discrete ill-posed problems

Hansen, P. C., Dong, Y. & Abe, K., 2019, In : Numerical Linear Algebra with Applications. 26, 3, 9 p., e2230.

Research output: Contribution to journalJournal articleResearchpeer-review

17 Downloads (Pure)

Reconstructing the fast-ion velocity distribution in the DIII-D tokamak during Alfvén eigenmode activity

Madsen, B., Salewski, M., Heidbrink, W. W., Stagner, L., Podestá, M., Lin, D., Garcia, A. V., Hansen, P. C. & Huang, J., 2019, Proceedings of 46th EPS Conference on Plasma Physics. Riconda, C., Brezinsek, S., McCarty, K., Burgess, D., Brault, P. & Farina, D. (eds.). European Physical Society, Vol. 43C. 4 p. P1.1026

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Open Access
File
2018
20 Downloads (Pure)

Alpha-particle velocity-space diagnostic in ITER

Salewski, M., Nocente, M., Madsen, B., Abramovic, I., Fitzgerald, M., Gorini, G., Hansen, P. C., Heidbrink, W. W., Jacobsen, A. S., Jensen, T., Kiptily, V. G., Klinkby, E. B., Korsholm, S. B., Kurki-Suonio, T., Larsen, A. W., Leipold, F., Moseev, D., Nielsen, S. K., Pinches, S. D., Rasmussen, J. & 6 others, Rebai, M., Schneider, M., Shevelev, A., Sipilä, S., Stejner, M. & Tardocchi, M., 2018, In : Nuclear Fusion. 58, 9, 16 p., 096019.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

A spectral geometric model for Compton single scatter in PET based on the single scatter simulation approximation: Paper

Kazantsev, I. G., Olsen, U. L., Poulsen, H. F. & Hansen, P. C., 2018, In : Inverse Problems. 34, 2, 15 p., 024002 .

Research output: Contribution to journalJournal articleResearchpeer-review

425 Downloads (Pure)

Computing segmentations directly from x-ray projection data via parametric deformable curves: Paper

Dahl, V. A., Dahl, A. B. & Hansen, P. C., 2018, In : Measurement Science and Technology. 29, 1, 16 p., 014003.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
91 Downloads (Pure)

Deformable Curves for Outlining Objects Directly From Projections

Dahl, V. A., Koo, J., Hansen, P. C. & Dahl, A. B., 2018. 1 p.

Research output: Contribution to conferenceConference abstract for conferenceResearchpeer-review

Open Access
File
35 Downloads (Pure)

IR Tools - a MATLAB package of iterative regularization methods and large-scale test problems

Gazzola, S., Hansen, P. C. & Nagy, J. G., 2018, In : Numerical Algorithms. 39 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
190 Downloads (Pure)

Joint CT Reconstruction and Segmentation with Discriminative Dictionary Learning

Dong, Y., Hansen, P. C. & Kjer, H. M., 2018, In : Ieee Transactions on Computational Imaging. 4, 4, p. 528 - 536

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

Limited-data x-ray CT for underwater pipeline inspection

Riis, N. A. B., Frøsig, J., Dong, Y. & Hansen, P. C., 23 Jan 2018, In : Inverse Problems. 34, 3, 17 p., 034002.

Research output: Contribution to journalJournal articleResearchpeer-review

176 Downloads (Pure)

Unmatched Projector/Backprojector Pairs: Perturbation and Convergence Analysis

Elfving, T. & Hansen, P. C., 2018, In : S I A M Journal on Scientific Computing. 40, 1, p. A573-A591

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
2017
247 Downloads (Pure)

AIR Tools II: algebraic iterative reconstruction methods, improved implementation

Hansen, P. C. & Jørgensen, J. S., 2017, In : Numerical Algorithms. p. 1-31 31 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
113 Downloads (Pure)

LBAS: Lanczos Bidiagonalization with Subspace Augmentation for Discrete Inverse Problems

Hansen, P. C. & Abe, K., 2017, DTU Compute. 12 p. (DTU Compute-Technical Report-2017, Vol. 3).

Research output: Book/ReportReport

Open Access
File
113 Downloads (Pure)

Tomographic image reconstruction using training images

Soltani, S., Andersen, M. S. & Hansen, P. C., 2017, In : Journal of Computational and Applied Mathematics. 313, p. 243-258

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

User-friendly simultaneous tomographic reconstruction and segmentation with class priors

Kjer, H. M., Dong, Y. & Hansen, P. C., 2017, Proceedings of 6th International Conference on Scale Space and Variational Methods in Computer Vision. Springer, Vol. 10302. p. 260-270 (Lecture Notes in Computer Science, Vol. 10302).

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

2016
162 Downloads (Pure)

A Spectral Geometrical Model for Compton Scatter Tomography Based on the SSS Approximation

Kazantsev, I. G., Olsen, U. L., Poulsen, H. F. & Hansen, P. C., 2016, Proceedings of the The 4th International Conference on Image Formation in X-Ray Computed Tomography. p. 577-580

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Open Access
File

A tensor-based dictionary learning approach to tomographic image reconstruction

Soltani, S., Kilmer, M. E. & Hansen, P. C., 2016, In : BIT Numerical Mathematics. 56, 4, p. 1425–1454 30 p.

Research output: Contribution to journalJournal articleResearchpeer-review

245 Downloads (Pure)

Convergence analysis for column-action methods in image reconstruction

Elfving, T., Hansen, P. C. & Nikazad, T., 2016, In : Numerical Algorithms. 74, 3, p. 905–924

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
116 Downloads (Pure)

High-definition velocity-space tomography of fast-ion dynamics

Salewski, M., Geiger, B., Jacobsen, A. S., Hansen, P. C., Heidbrink, W. W., Korsholm, S. B., Leipold, F., Madsen, J., Moseev, D., Nielsen, S. K., Nocente, M., Odstrčil, T., Rasmussen, J., Stagner, L., Pedersen, M. S. & Weiland, M., 2016, In : Nuclear Fusion. 56, 10, 15 p., 106024.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

Noise robustness of a combined phase retrieval and reconstruction method for phase-contrast tomography

Kongskov, R. D., Jørgensen, J. S., Poulsen, H. F. & Hansen, P. C., 2016, In : Journal of the Optical Society of America A. 33, 4, p. 447-454

Research output: Contribution to journalJournal articleResearchpeer-review

2015

Analysis of Electrically Large Antennas using Fast Physical Optics

Borries, O. P., Viskum, H-H., Meincke, P., Jørgensen, E., Hansen, P. C. & Schmidt, C. H., 2015, Proceedings of the 9th European Conference on Antennas and Propagation (EuCAP 2015). IEEE, p. 1-5

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

247 Downloads (Pure)

A Parameter Choice Method for Simultaneous Reconstruction and Segmentation

Romanov, M., Hansen, P. C. & Dahl, A. B., 2015, Kgs. Lyngby: Technical University of Denmark. 14 p. (DTU Compute-Technical Report-2015; No. 5).

Research output: Book/ReportReport

Open Access
File
163 Downloads (Pure)

Empirical average-case relation between undersampling and sparsity in X-ray CT

Jørgensen, J. S., Sidky, E. Y., Hansen, P. C. & Pan, X., 2015, In : Inverse Problems and Imaging. 9, 2, p. 431-446

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
305 Downloads (Pure)

Relaxed Simultaneous Tomographic Reconstruction and Segmentation with Class Priors for Poisson Noise

Romanov, M., Dahl, A. B., Dong, Y. & Hansen, P. C., 2015, Kgs. Lyngby: Technical University of Denmark. 19 p. (DTU Compute-Technical Report-2015; No. 6).

Research output: Book/ReportReport

Open Access
File
246 Downloads (Pure)

Simultaneous tomographic reconstruction and segmentation with class priors

Romanov, M., Dahl, A. B., Dong, Y. & Hansen, P. C., 2015, In : Inverse Problems in Science and Engineering. 24, 8, p. 1432-1453

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
2014

A computationally efficient tool for assessing the depth resolution in large-scale potential-field inversion

Paoletti, V., Hansen, P. C., Hansen, M. F. & Fedi, M., 2014, In : Geophysics. 79, 4, p. A33-A38

Research output: Contribution to journalJournal articleResearchpeer-review

321 Downloads (Pure)

A Computationally Efficient Tool for Assessing the Depth Resolution in Potential-Field Inversion

Paoletti, V., Hansen, P. C., Hansen, M. F. & Fedi, M., 2014, Kgs. Lyngby: Technical University of Denmark. 25 p. (DTU Compute-Technical Report-2014; No. 03).

Research output: Book/ReportReport

Open Access
File
213 Downloads (Pure)

Adaptive grouping for the higher-order multilevel fast multipole method

Borries, O. P., Jørgensen, E., Meincke, P. & Hansen, P. C., 2014, In : Microwave & Optical Technology Letters. 56, 10, p. 2451-2456

Research output: Contribution to journalJournal articleResearchpeer-review

File

Gaussian translation operator for Multi-Level Fast Multipole Method

Borries, O. P., Hansen, P. C., Sorensen, S. B., Meincke, P. & Jorgensen, E., 2014, Proceedings of the 2014 IEEE Antennas and Propagation Society International Symposium. IEEE, p. 2152-2153 (I E E E Antennas and Propagation Society. International Symposium).

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Generalized Row-Action Methods for Tomographic Imaging

Andersen, M. S. & Hansen, P. C., 2014, In : Numerical Algorithms. 67, 1, p. 121 144 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Improved Multilevel Fast Multipole Method for Higher-Order discretizations

Borries, O. P., Meincke, P., Jorgensen, E., Sorensen, S. B. & Hansen, P. C., 2014, Proceedings of the 8th European Conference on Antennas and Propagation (EuCAP 2014). IEEE, p. 3610-3614

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

221 Downloads (Pure)

Multicore Performance of Block Algebraic Iterative Reconstruction Methods

Sørensen, H. H. B. & Hansen, P. C., 2014, In : S I A M Journal on Scientific Computing. 36, 5, p. C524-C546

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

Multilevel Fast Multipole Method for Higher Order Discretizations

Borries, O. P., Meincke, P., Jorgensen, E. & Hansen, P. C., 2014, In : IEEE Transactions on Antennas and Propagation. 62, 9, p. 4695-4705

Research output: Contribution to journalJournal articleResearchpeer-review

150 Downloads (Pure)

"Plug-and-play" edge-preserving regularization

Chen, D., Kilmer, M. E. & Hansen, P. C., 2014, In : Electronic Transactions on Numerical Analysis. 41, p. 465-477

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
98 Downloads (Pure)

R3GMRES: including prior information in GMRES-type methods for discrete inverse problems

Dong, Y., Garde, H. & Hansen, P. C., 2014, In : Electronic Transactions on Numerical Analysis. 42, p. 136-146

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

Reflector antenna analysis using physical optics on Graphics Processing Units

Borries, O. P., Sørensen, H. H. B., Dammann, B., Jorgensen, E., Meincke, P., Sorensen, S. B. & Hansen, P. C., 2014, Proceedings of the 8th European Conference on Antennas and Propagation (EuCAP 2014). IEEE, p. 254-258

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Rotational image deblurring with sparse matrices

Hansen, P. C., Nagy, J. G. & Tigkos, K., 2014, In : BIT Numerical Mathematics. 54, 3, p. 649-671 23 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Semi-convergence properties of Kaczmarz’s method

Elfving, T., Hansen, P. C. & Nikazad, T., 2014, In : Inverse Problems. 30, 5, 16 p., 055007.

Research output: Contribution to journalJournal articleResearchpeer-review

2013

Least Squares Data Fitting with Applications

Hansen, P. C., Pereyra, V. & Scherer, G., 2013, Baltimore: Johns Hopkins University Press. 328 p.

Research output: Book/ReportBook

Oblique projections and standard-form transformations for discrete inverse problems

Hansen, P. C., 2013, In : Numerical Linear Algebra with Applications. 20, 2, p. 250–258

Research output: Contribution to journalJournal articleResearchpeer-review

2012

AIR Tools - A MATLAB package of algebraic iterative reconstruction methods

Hansen, P. C. & Saxild-Hansen, M., 2012, In : Journal of Computational and Applied Mathematics. 236, 8, p. 2167-2178

Research output: Contribution to journalJournal articleResearchpeer-review

483 Downloads (Pure)

Electrical Impedance Tomography: 3D Reconstructions using Scattering Transforms

Delbary, F., Hansen, P. C. & Knudsen, K., 2012, In : Applicable Analysis. 91, 4, p. 737-755

Research output: Contribution to journalJournal articleResearchpeer-review

File

Implementation of an optimal first-order method for strongly convex total variation regularization

Jensen, T. L., Jørgensen, J. H., Hansen, P. C. & Jensen, S. H., 2012, In : BIT Numerical Mathematics. 52, 2, p. 329–356

Research output: Contribution to journalJournal articleResearchpeer-review

240 Downloads (Pure)

Quantitative study of undersampled recoverability for sparse images in computed tomography

Jørgensen, J. H., Sidky, E. Y., Hansen, P. C. & Pan, X., 2012, In : arXiv. p. 1-20

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
334 Downloads (Pure)

Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms

Elfving, T., Hansen, P. C. & Nikazad, T., 2012, In : S I A M Journal on Scientific Computing. 34, 4, p. A2000-A2017

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
2011

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

Jørgensen, J. H., Jensen, T. L., Hansen, P. C., Jensen, S. H., Sidky, E. Y. & Pan, X., 2011, Proceedings of 11th Fully 3D Meeting.

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

A Direct Numerical Reconstruction Algorithm for the 3D Calderón Problem

Delbary, F., Hansen, P. C. & Knudsen, K., 2011, In : Journal of Physics: Conference Series (Print). 290, p. 012003

Research output: Contribution to journalConference articleResearchpeer-review

Image Deblurring with Krylov Subspace Methods

Hansen, P. C., 2011, Proceedings of WSC 2011.

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

604 Downloads (Pure)
Open Access
File

Total Variation and Tomographic Imaging from Projections

Hansen, P. C. & Jørgensen, J. H., 2011, Proceedings of WSC 2011.

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review