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ORCIDPer Christian Hansen
Person information
- affiliation: Technical University of Denmark, Department of Applied Mathematics and Computer Science
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Journal Articles
- 2024
[j65]Babak Maboudi Afkham, Nicolai André Brogaard Riis, Yiqiu Dong
, Per Christian Hansen:
Inferring Object Boundaries and Their Roughness with Uncertainty Quantification. J. Math. Imaging Vis. 66(6): 977-992 (2024)- 2023
- [j64]Babak Maboudi Afkham, Yiqiu Dong, Per Christian Hansen:
Uncertainty Quantification of Inclusion Boundaries in the Context of X-Ray Tomography. SIAM/ASA J. Uncertain. Quantification 11(1): 31-61 (2023) - [j63]Felipe Uribe, Yiqiu Dong, Per Christian Hansen:
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion. SIAM J. Sci. Comput. 45(3): 337-365 (2023) - 2022
- [j62]Per Christian Hansen, Ken Hayami, Keiichi Morikuni:
GMRES methods for tomographic reconstruction with an unmatched back projector. J. Comput. Appl. Math. 413: 114352 (2022) - [j61]Felipe Uribe, Johnathan M. Bardsley, Yiqiu Dong, Per Christian Hansen, Nicolai André Brogaard Riis:
A Hybrid Gibbs Sampler for Edge-Preserving Tomographic Reconstruction with Uncertain View Angles. SIAM/ASA J. Uncertain. Quantification 10(1): 1293-1320 (2022) - 2021
- [j60]Nicolai André Brogaard Riis, Yiqiu Dong, Per Christian Hansen:
Computed Tomography Reconstruction with Uncertain View Angles by Iteratively Updated Model Discrepancy. J. Math. Imaging Vis. 63(2): 133-143 (2021) - [j59]Bart S. van Lith, Per Christian Hansen, Michiel E. Hochstenbach:
A Twin Error Gauge for Kaczmarz's Iterations. SIAM J. Sci. Comput. 43(5): S173-S199 (2021) - 2020
- [j58]Johnathan M. Bardsley, Per Christian Hansen:
MCMC Algorithms for Computational UQ of Nonnegativity Constrained Linear Inverse Problems. SIAM J. Sci. Comput. 42(2): A1269-A1288 (2020) - 2019
- [j57]Silvia Gazzola, Per Christian Hansen, James G. Nagy:
IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems. Numer. Algorithms 81(3): 773-811 (2019) - [j56]Per Christian Hansen, Yiqiu Dong, Kuniyoshi Abe:
Hybrid enriched bidiagonalization for discrete ill-posed problems. Numer. Linear Algebra Appl. 26(3) (2019) - [j55]Yiqiu Dong, Per Christian Hansen, Michiel E. Hochstenbach, Nicolai André Brogaard Riis:
Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector. SIAM J. Sci. Comput. 41(3): A1822-A1839 (2019) - 2018
- [j54]Per Christian Hansen, Jakob Sauer Jørgensen:
AIR Tools II: algebraic iterative reconstruction methods, improved implementation. Numer. Algorithms 79(1): 107-137 (2018) - [j53]Tommy Elfving, Per Christian Hansen:
Unmatched Projector/Backprojector Pairs: Perturbation and Convergence Analysis. SIAM J. Sci. Comput. 40(1) (2018) - [j52]Yiqiu Dong, Per Christian Hansen, Hans Martin Kjer:
Joint CT Reconstruction and Segmentation With Discriminative Dictionary Learning. IEEE Trans. Computational Imaging 4(4): 528-536 (2018) - 2017
- [j51]Sara Soltani, Martin S. Andersen, Per Christian Hansen:
Tomographic image reconstruction using training images. J. Comput. Appl. Math. 313: 243-258 (2017) - [j50]Tommy Elfving, Per Christian Hansen, Touraj Nikazad:
Convergence analysis for column-action methods in image reconstruction. Numer. Algorithms 74(3): 905-924 (2017) - [j49]Tommy Elfving, Per Christian Hansen, Touraj Nikazad:
Erratum to: Convergence analysis for column-action methods in image reconstruction. Numer. Algorithms 74(3): 925 (2017) - 2014
- [j48]Martin S. Andersen, Per Christian Hansen:
Generalized row-action methods for tomographic imaging. Numer. Algorithms 67(1): 121-144 (2014) - [j47]Hans Henrik B. Sørensen, Per Christian Hansen:
Multicore Performance of Block Algebraic Iterative Reconstruction Methods. SIAM J. Sci. Comput. 36(5) (2014) - 2013
- [j46]Per Christian Hansen:
Oblique projections and standard-form transformations for discrete inverse problems. Numer. Linear Algebra Appl. 20(2): 250-258 (2013) - 2012
- [j45]Per Christian Hansen, Maria Saxild-Hansen:
AIR Tools - A MATLAB package of algebraic iterative reconstruction methods. J. Comput. Appl. Math. 236(8): 2167-2178 (2012) - [j44]Tommy Elfving, Per Christian Hansen, Touraj Nikazad:
Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms. SIAM J. Sci. Comput. 34(4) (2012) - 2010
- [j43]Joachim Dahl, Per Christian Hansen, Søren Holdt Jensen, Tobias Lindstrøm Jensen:
Algorithms and software for total variation image reconstruction via first-order methods. Numer. Algorithms 53(1): 67-92 (2010) - 2009
- [j42]Dan Erik Petersen, Song Li, Kurt Stokbro, Hans Henrik B. Sørensen, Per Christian Hansen, Stig Skelboe, Eric Darve:
A hybrid method for the parallel computation of Green's functions. J. Comput. Phys. 228(14): 5020-5039 (2009) - [j41]Per Christian Hansen, Henning Osholm Sørensen, Zsuzsanna Sükösd, Henning Friis Poulsen:
Reconstruction of Single-Grain Orientation Distribution Functions for Crystalline Materials. SIAM J. Imaging Sci. 2(2): 593-613 (2009) - 2008
- [j40]Dan Erik Petersen, Hans Henrik B. Sørensen, Per Christian Hansen, Stig Skelboe, Kurt Stokbro:
Block tridiagonal matrix inversion and fast transmission calculations. J. Comput. Phys. 227(6): 3174-3190 (2008) - [j39]Per Christian Hansen, James G. Nagy, Dianne P. O'Leary, Rodney Miller:
Deblurring Images: Matrices, Spectra and Filtering. J. Electronic Imaging 17(1): 019901 (2008) - 2007
- [j38]Per Christian Hansen, Søren Holdt Jensen:
Subspace-Based Noise Reduction for Speech Signals via Diagonal and Triangular Matrix Decompositions: Survey and Analysis. EURASIP J. Adv. Signal Process. 2007 (2007) - [j37]Per Christian Hansen:
Regularization Tools version 4.0 for Matlab 7.3. Numer. Algorithms 46(2): 189-194 (2007) - [j36]Misha Elena Kilmer, Per Christian Hansen, Malena I. Español:
A Projection-Based Approach to General-Form Tikhonov Regularization. SIAM J. Sci. Comput. 29(1): 315-330 (2007) - 2006
- [j35]Per Christian Hansen, Toke Koldborg Jensen:
Smoothing-Norm Preconditioning for Regularizing Minimum-Residual Methods. SIAM J. Matrix Anal. Appl. 29(1): 1-14 (2006) - 2005
- [j34]Ricardo D. Fierro, Per Christian Hansen:
UTV Expansion Pack: Special-purpose rank-revealing algorithms. Numer. Algorithms 40(1): 47-66 (2005) - [j33]Per Christian Hansen, Søren Holdt Jensen:
Prewhitening for rank-deficient noise in subspace methods for noise reduction. IEEE Trans. Signal Process. 53(10): 3718-3726 (2005) - 2002
- [j32]Per Christian Hansen:
Deconvolution and Regularization with Toeplitz Matrices. Numer. Algorithms 29(4): 323-378 (2002) - 2001
- [j31]Per Christian Hansen, Plamen Y. Yalamov:
Computing Symmetric Rank-Revealing Decompositions via Triangular Factorization. SIAM J. Matrix Anal. Appl. 23(2): 443-458 (2001) - 2000
- [j30]Per Christian Hansen, Plamen Y. Yalamov:
Stabilization by Perturbation of a 4n2 Toeplitz Solver. SIAM J. Matrix Anal. Appl. 21(3): 849-866 (2000) - 1999
- [j29]Ricardo D. Fierro, Per Christian Hansen, Peter Søren Kirk Hansen:
UTV Tools: Matlab templates for rank-revealing UTV decompositions. Numer. Algorithms 20(2-3): 165-194 (1999) - [j28]Per Christian Hansen:
Regularization Tools Version 3.0 for Matlab 5.2. Numer. Algorithms 20(2-3): 195-196 (1999) - [j27]Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary:
Tikhonov Regularization and Total Least Squares. SIAM J. Matrix Anal. Appl. 21(1): 185-194 (1999) - 1998
- [j26]Tzvetan Ostromsky, Per Christian Hansen, Zahari Zlatev:
A Coarse-Grained Parallel QR-Factorization Algorithm for Sparse Least Squares Problems. Parallel Comput. 24(5-6): 937-964 (1998) - [j25]Per Christian Hansen, Søren Holdt Jensen:
FIR filter representations of reduced-rank noise reduction. IEEE Trans. Signal Process. 46(6): 1737-1741 (1998) - 1997
- [j24]Ricardo D. Fierro, Per Christian Hansen:
Low-rank revealing UTV decompositions. Numer. Algorithms 15(1): 37-55 (1997) - [j23]Ricardo D. Fierro, Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary:
Regularization by Truncated Total Least Squares. SIAM J. Sci. Comput. 18(4): 1223-1241 (1997) - 1996
- [j22]Per Christian Hansen, Klaus Mosegaard:
Piecewise Polynomial Solutions Without a priori Break Points. Numer. Linear Algebra Appl. 3(6): 513-524 (1996) - 1995
- [j21]Kyle A. Gallivan, Per Christian Hansen, Tzvetan Ostromsky, Zahari Zlatev:
Locally Optimized Reordering Algorithm and its Application to a Parallel Sparse Linear System Solver. Computing 54(1): 39-68 (1995) - [j20]Claus Bendtsen, Per Christian Hansen, Kaj Madsen, Hans Bruun Nielsen, Mustafa Ç. Pinar:
Implementation of QR Up- and Downdating on a Massively Parallel Computer. Parallel Comput. 21(1): 49-61 (1995) - [j19]Per Christian Hansen:
Test Matrices for Regularization Methods. SIAM J. Sci. Comput. 16(2): 506-512 (1995) - [j18]Søren Holdt Jensen, Per Christian Hansen, Steffen Duus Hansen, John Aasted Sørensen:
Reduction of broad-band noise in speech by truncated QSVD. IEEE Trans. Speech Audio Process. 3(6): 439-448 (1995) - 1994
- [j17]Per Christian Hansen:
Regularization Tools: A Matlab package for analysis and solution of discrete ill-posed problems. Numer. Algorithms 6(1): 1-35 (1994) - [j16]Tony F. Chan, Per Christian Hansen:
Low-rank revealing QR factorizations. Numer. Linear Algebra Appl. 1(1): 33-44 (1994) - [j15]Per Christian Hansen, Tony F. Chan:
Corrigendum: Algorithm 729; FORTRAN subroutines for general Toeplitz systems. ACM Trans. Math. Softw. 20(1): 160 (1994) - [j14]Flavio Lorenzelli, Per Christian Hansen, Tony F. Chan, Kung Yao:
A systolic implementation of the Chan/Foster RRQR algorithm. IEEE Trans. Signal Process. 42(8): 2205-2208 (1994) - 1993
- [j13]Tony F. Chan, Per Christian Hansen:
Erratum: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems. SIAM J. Matrix Anal. Appl. 14(4): 1191 (1993) - [j12]Per Christian Hansen, Dianne P. O'Leary:
The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems. SIAM J. Sci. Comput. 14(6): 1487-1503 (1993) - 1992
- [j11]Christian H. Bischof, Per Christian Hansen:
A block algorithm for computing rank-revealing QR factorizations. Numer. Algorithms 2(3): 371-391 (1992) - [j10]Tony F. Chan, Per Christian Hansen:
A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems. SIAM J. Matrix Anal. Appl. 13(2): 490-506 (1992) - [j9]Per Christian Hansen:
Analysis of Discrete Ill-Posed Problems by Means of the L-Curve. SIAM Rev. 34(4): 561-580 (1992) - [j8]Tony F. Chan, Per Christian Hansen:
Some Applications of the Rank Revealing QR Factorization. SIAM J. Sci. Comput. 13(3): 727-741 (1992) - [j7]Per Christian Hansen, Takashi Sekii, Hiromoto Shibahashi:
The Modified Truncated SVD Method for Regularization in General Form. SIAM J. Sci. Comput. 13(5): 1142-1150 (1992) - [j6]Per Christian Hansen, Tony F. Chan:
FORTRAN subroutines for general Toeplitz systems. ACM Trans. Math. Softw. 18(3): 256-273 (1992) - [j5]Tony F. Chan, Per Christian Hansen:
A look-ahead Levinson algorithm for general Toeplitz systems. IEEE Trans. Signal Process. 40(5): 1079-1090 (1992) - 1991
- [j4]Christian H. Bischof, Per Christian Hansen:
Structure-Preserving and Rank-Revealing QR-Factorizations. SIAM J. Sci. Comput. 12(6): 1332-1350 (1991) - 1990
- [j3]Per Christian Hansen:
Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank. SIAM J. Sci. Comput. 11(3): 503-518 (1990) - [j2]Tony F. Chan, Per Christian Hansen:
Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations. SIAM J. Sci. Comput. 11(3): 519-530 (1990) - 1988
- [j1]Per Christian Hansen:
Computation of the singular value expansion. Computing 40(3): 185-199 (1988)
Conference and Workshop Papers
- 2021
- [c14]Per Christian Hansen, Jakob Sauer Jørgensen, Peter Winkel Rasmussen:
Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography. ICCSA (Workshops) 2021: 60-70 - 2017
- [c13]Hans Martin Kjer, Yiqiu Dong, Per Christian Hansen:
User-Friendly Simultaneous Tomographic Reconstruction and Segmentation with Class Priors. SSVM 2017: 260-270 - 2007
- [c12]Joachim Dahl, Søren Holdt Jensen, Per Christian Hansen:
A Convex Programming Approach to Anisotropic Smoothing. ICIP (2) 2007: 101-104 - 2006
- [c11]Per Christian Hansen, Toke Koldborg Jensen:
Large-Scale Methods in Image Deblurring. PARA 2006: 24-35 - 1999
- [c10]Peter Søren Kirk Hansen, Per Christian Hansen, Steffen Duus Hansen, John Aasted Sørensen:
Experimental comparison of signal subspace based noise reduction methods. ICASSP 1999: 101-104 - 1996
- [c9]Peter Søren Kirk Hansen, Per Christian Hansen, Steffen Duus Hansen, John Aasted Sørensen:
Noise reduction of speech signals using the rank-revealing ULLV decomposition. EUSIPCO 1996: 1-4 - [c8]Søren Holdt Jensen, Per Christian Hansen:
Reduced-rank noise reduction: A filter-bank interpretation. EUSIPCO 1996: 1-4 - [c7]Per Christian Hansen, Søren Holdt Jensen:
Filter Model of Reduced-Rank Noise Reduction. PARA 1996: 379-387 - 1995
- [c6]Tzvetan Ostromsky, Per Christian Hansen, Zahari Zlatev:
A Parallel Sparse QR-Factorization Algorithm. PARA 1995: 462-472 - [c5]John Brown, Per Christian Hansen, P. Kaae, C. Keable, Wojciech Owczarz, Jerzy Wasniewski, Zahari Zlatev:
Comparison of Parallel Computers Using Air Pollution Models. PP 1995: 113-118 - 1994
- [c4]John Brown, Per Christian Hansen, Jerzy Wasniewski, Zahari Zlatev:
Comparison of Massively Parallel SIMD Computers Using Air Pollution Models. PARA 1994: 110-126 - [c3]Per Christian Hansen:
Parallel Issues of Regularization Problems. PARA 1994: 287-295 - [c2]Per Christian Hansen, Tzvetan Ostromsky, Zahari Zlatev:
Two Enhancements in a Partitioned Sparse Code. PARA 1994: 296-303 - 1992
- [c1]Flavio Lorenzelli, Kung Yao, Tony F. Chan, Per Christian Hansen:
A systolic rank revealing QR algorithm. ASAP 1992: 430-444
Informal and Other Publications
- 2023
- [i12]Babak Maboudi Afkham, Nicolai André Brogaard Riis, Yiqiu Dong, Per Christian Hansen:
Inferring Features with Uncertain Roughness. CoRR abs/2305.04608 (2023) - [i11]Nicolai André Brogaard Riis, Amal Mohammed A. Alghamdi, Felipe Uribe, Silja L. Christensen, Babak Maboudi Afkham, Per Christian Hansen, Jakob Sauer Jørgensen:
CUQIpy - Part I: computational uncertainty quantification for inverse problems in Python. CoRR abs/2305.16949 (2023) - [i10]Amal Mohammed A. Alghamdi, Nicolai André Brogaard Riis, Babak Maboudi Afkham, Felipe Uribe, Silja L. Christensen, Per Christian Hansen, Jakob Sauer Jørgensen:
CUQIpy - Part II: computational uncertainty quantification for PDE-based inverse problems in Python. CoRR abs/2305.16951 (2023) - 2021
- [i9]Per Christian Hansen, Jakob Sauer Jørgensen, Peter Winkel Rasmussen:
Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography. CoRR abs/2106.10053 (2021) - [i8]Babak Maboudi Afkham, Yiqiu Dong, Per Christian Hansen:
Uncertainty Quantification of Inclusion Boundaries in the Context of X-ray Tomography. CoRR abs/2107.06607 (2021) - [i7]Per Christian Hansen, Ken Hayami, Keiichi Morikuni:
GMRES Methods for Tomographic Reconstruction with an Unmatched Back Projector. CoRR abs/2110.01481 (2021) - 2019
- [i6]Bart S. van Lith, Per Christian Hansen, Michiel E. Hochstenbach:
A twin error gauge for Kaczmarz's iterations. CoRR abs/1906.07470 (2019) - 2015
- [i5]Sara Soltani, Martin S. Andersen, Per Christian Hansen:
Tomographic Image Reconstruction using Dictionary Priors. CoRR abs/1503.01993 (2015) - [i4]Rasmus Dalgas Rasmussen, Jakob Sauer Jørgensen, Henning Friis Poulsen, Per Christian Hansen:
Comparison of Reconstruction Methods for Free-Space Propagation Phase-Contrast Tomography. CoRR abs/1505.02740 (2015) - [i3]Sara Soltani, Misha Elena Kilmer, Per Christian Hansen:
A Tensor-Based Dictionary Learning Approach to Tomographic Image Reconstruction. CoRR abs/1506.04954 (2015) - 2011
- [i2]Tobias Lindstrøm Jensen, Jakob Heide Jørgensen, Per Christian Hansen, Søren Holdt Jensen:
Implementation of an Optimal First-Order Method for Strongly Convex Total Variation Regularization. CoRR abs/1105.3723 (2011) - [i1]Jakob Heide Jørgensen, Tobias Lindstrøm Jensen, Per Christian Hansen, Søren Holdt Jensen, Emil Y. Sidky, Xiaochuan Pan:
Accelerated gradient methods for total-variation-based CT image reconstruction. CoRR abs/1105.4002 (2011)
Coauthor Index
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