Per Christian Hansen

26.7k citations

168 papers · 19.4k indexed · 10 hit papers · h-index 44

Mathematical Physics top 0.02%
- Numerical methods in inverse problems 53
Computational Mathematics top 1%
Geophysics top 0.5%
Applied Mathematics top 0.2%
- Statistical and numerical algorithms 24
Computational Mechanics top 0.1%
- Sparse and Compressive Sensing Techniques 19
Computational Theory and Mathematics
- Matrix Theory and Algorithms 34
Radiology, Nuclear Medicine and Imaging
- Medical Imaging Techniques and Applications 27
Atomic and Molecular Physics, and Optics
- Electromagnetic Scattering and Analysis 20
Computer Vision and Pattern Recognition
- Image and Signal Denoising Methods 17
Signal Processing
- Blind Source Separation Techniques 14

Co-authors: Dianne P. O’Leary Gene H. Golub James G. Nagy Søren Holdt Jensen Tony F. Chan Jakob Sauer Jørgensen Toke Koldborg Jensen Ricardo D. Fierro
Cited by: Mathematical Physics Computational Mathematics Geophysics
Partner nations: Denmark United States Sweden

In The Last Decade

Per Christian Hansen

162 papers receiving 18.2k citations

Hit Papers

10 papers align trajectories log scale

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

2010 Discrete Inverse Problems
2007 Regularization Tools version 4.0 for Matlab 7.3
2000 The L-curve and its use in the numerical treatment of inverse problems
1999 Tikhonov Regularization and Total Least Squares
1998 Rank-Deficient and Discrete Ill-Posed Problems
1994 REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems
1993 The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
1992 Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
1987 The truncatedSVD as a method for regularization
1987 Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion

Peers

Countries citing papers authored by Per Christian Hansen

Since Specialization

Citations

This map shows the geographic impact of Per Christian Hansen's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Per Christian Hansen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Per Christian Hansen more than expected).

Fields of papers citing papers by Per Christian Hansen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Per Christian Hansen. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Per Christian Hansen. The network helps show where Per Christian Hansen may publish in the future.

Co-authorship network

The 25 scholars most cited alongside Per Christian Hansen, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Per Christian Hansen Line = papers co-authored together Per Christian Hansen links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Fast-ion phase-space tomography with wave–particle interactions in the ion cyclotron frequency range as prior Mads Rud Larsen,L.-G. Eriksson,J. Eriksson,Per Christian Hansen,Otso Hyvärinen,H. Järleblad,Y. Kazakov,S. B. Korsholm,M. Nocente,J. Rasmussen,Bernard Reman,A. Snicker,A. Valentini,Yiqiu Dong,D. Moseev,M. Salewski	2025	4
2	Velocity-space tomography of MeV-range fast-ion distributions in JET using wave–particle interaction priors Mads Rud Larsen,Yiqiu Dong,L.-G. Eriksson,J. Eriksson,Per Christian Hansen,Otso Hyvärinen,H. Järleblad,Y. Kazakov,D. Moseev,M. Nocente,Bernard Reman,A. Snicker,A. Valentini,M. Salewski,(unknown)	2025	0
3	Inferring Object Boundaries and Their Roughness with Uncertainty Quantification Babak Maboudi Afkham,Nicolai A. B. Riis,Yiqiu Dong,Per Christian Hansen	2024	0
4	Orbit tomography in constants-of-motion phase-space M. Rud,D. Moseev,F. Jaulmes,K. Bogár,Yiqiu Dong,Per Christian Hansen,J. Eriksson,H. Järleblad,M. Nocente,G. Prechel,Bernard Reman,Bo Simmendefeldt Schmidt,A. Snicker,L. Stagner,A. Valentini,M. Salewski	2024	10
5	CUQIpy: I. Computational uncertainty quantification for inverse problems in Python Nicolai A. B. Riis,Amal Alghamdi,Felipe Uribe,Silja Westphal Christensen,Babak Maboudi Afkham,Per Christian Hansen,Jakob Sauer Jørgensen	2024	3
6	CUQIpy: II. Computational uncertainty quantification for PDE-based inverse problems in Python Amal Alghamdi,Nicolai A. B. Riis,Babak Maboudi Afkham,Felipe Uribe,Silja Westphal Christensen,Per Christian Hansen,Jakob Sauer Jørgensen	2024	2
7	4D and 5D phase-space tomography using slowing-down physics regularization Bo Simmendefeldt Schmidt,M. Salewski,D. Moseev,M. Baquero-Ruiz,Per Christian Hansen,J. Eriksson,O. Ford,G. Gorini,H. Järleblad,Ye. O. Kazakov,D. Kulla,S. Lazerson,Jacob Emil Mencke,D. Mykytchuk,M. Nocente,P. Zs. Pölöskei,M. Rud,A. Snicker,L. Stagner,S. Äkäslompolo	2023	17
8	Computed tomography with view angle estimation using uncertainty quantification Nicolai A. B. Riis,Yiqiu Dong,Per Christian Hansen	2021	6
9	Tomography of the positive-pitch fast-ion velocity distribution in DIII-D plasmas with Alfvén eigenmodes and neoclassical tearing modes B. Madsen,M. Salewski,W. W. Heidbrink,L. Stagner,M. Podestá,D. Lin,A. Garcia,Per Christian Hansen,J. Huang,(unknown)	2020	29
10	AIR Tools II: algebraic iterative reconstruction methods, improved implementation Per Christian Hansen,Jakob Sauer Jørgensen	2017	132
11	A computationally efficient tool for assessing the depth resolution in large-scale potential-field inversion Valeria Paoletti,Per Christian Hansen,Mads Friis Hansen,Maurizio Fedi	2014	25
12	Semi-convergence and relaxation parameters for a class of SIRT algorithms Tommy Elfving,Touraj Nikazad,Per Christian Hansen	2010	46
13	Ambiguity and Depth Resolution in Potential Field Inversion Maurizio Fedi,Per Christian Hansen,Valeria Paoletti	2007	2
14	Deblurring Images: Matrices, Spectra and Filtering Per Christian Hansen	2007	352
15	Deblurring Images: Matrices, Spectra, and Filtering (Fundamentals of Algorithms 3) (Fundamentals of Algorithms) Per Christian Hansen,James G. Nagy,Dianne P. O’Leary	2006	85
16	Analysis of depth resolution in potential-field inversion Maurizio Fedi,Per Christian Hansen,Valeria Paoletti	2005	66
17	L-Curve Curvature Bounds via Lanczos Bidiagonalization Daniela Calvetti,Per Christian Hansen,Lothar Reichel	2001	36
18	Regularization and the general Gauss-Markov linear model Hong Yuan Zha,Per Christian Hansen	1990	12
19	Relations between SVD and GSVD of Discrete regularization problems in standard and general form Per Christian Hansen	1990	14
20	The 2-norm of random matrices Per Christian Hansen	1988	13

About Per Christian Hansen

Per Christian Hansen is a scholar working on Mathematical Physics, Computational Mathematics and Applied Mathematics, having authored 168 papers that have together received 19.4k indexed citations. Recurring topics across this work include Numerical methods in inverse problems (53 papers), Matrix Theory and Algorithms (34 papers), Medical Imaging Techniques and Applications (27 papers), Statistical and numerical algorithms (24 papers), Electromagnetic Scattering and Analysis (20 papers), Sparse and Compressive Sensing Techniques (19 papers), Image and Signal Denoising Methods (17 papers) and Blind Source Separation Techniques (14 papers). The work is most often cited by research in Mathematical Physics (4.8k citations), Computational Mathematics (137 citations) and Geophysics (2.5k citations). Per Christian Hansen has collaborated with scholars based in Denmark, United States and Sweden. Frequent co-authors include Dianne P. O’Leary, Gene H. Golub, James G. Nagy, Søren Holdt Jensen, Tony F. Chan, Jakob Sauer Jørgensen, Toke Koldborg Jensen, Ricardo D. Fierro, Tommy Elfving and Misha E. Kilmer.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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