Per Christian Hansen

Publication Activity (10 Years)

Years Active: 1988-2023
Publications (10 Years): 28

Top Topics

Convergence Analysis

Regularization Method

Image Reconstruction

Computed Tomography

Top Venues

SIAM J. Sci. Comput.

Numer. Algorithms

SIAM/ASA J. Uncertain. Quantification

Publications

Babak Maboudi Afkham, Nicolai André Brogaard Riis, Yiqiu Dong, Per Christian Hansen
Inferring Features with Uncertain Roughness. CoRR (2023)
Nicolai André Brogaard Riis, Amal M. 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 (2023)
Felipe Uribe, Yiqiu Dong, Per Christian Hansen
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion. SIAM J. Sci. Comput. 45 (3) (2023)
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) (2023)
Amal M. 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 (2023)
Per Christian Hansen, Ken Hayami, Keiichi Morikuni
GMRES methods for tomographic reconstruction with an unmatched back projector. J. Comput. Appl. Math. 413 (2022)
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) (2022)
Per Christian Hansen, Jakob Sauer Jørgensen, Peter Winkel Rasmussen
Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography. ICCSA (Workshops) (2021)
Per Christian Hansen, Ken Hayami, Keiichi Morikuni
GMRES Methods for Tomographic Reconstruction with an Unmatched Back Projector. CoRR (2021)
Babak Maboudi Afkham, Yiqiu Dong, Per Christian Hansen
Uncertainty Quantification of Inclusion Boundaries in the Context of X-ray Tomography. CoRR (2021)
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) (2021)
Bart S. van Lith, Per Christian Hansen, Michiel E. Hochstenbach
A Twin Error Gauge for Kaczmarz's Iterations. SIAM J. Sci. Comput. 43 (5) (2021)
Per Christian Hansen, Jakob Sauer Jørgensen, Peter Winkel Rasmussen
Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography. CoRR (2021)
Johnathan M. Bardsley, Per Christian Hansen
MCMC Algorithms for Computational UQ of Nonnegativity Constrained Linear Inverse Problems. SIAM J. Sci. Comput. 42 (2) (2020)
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) (2019)
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) (2019)
Per Christian Hansen, Yiqiu Dong, Kuniyoshi Abe
Hybrid enriched bidiagonalization for discrete ill-posed problems. Numer. Linear Algebra Appl. 26 (3) (2019)
Bart S. van Lith, Per Christian Hansen, Michiel E. Hochstenbach
A twin error gauge for Kaczmarz's iterations. CoRR (2019)
Yiqiu Dong, Per Christian Hansen, Hans Martin Kjer
Joint CT Reconstruction and Segmentation With Discriminative Dictionary Learning. IEEE Trans. Computational Imaging 4 (4) (2018)
Per Christian Hansen, Jakob Sauer Jørgensen
AIR Tools II: algebraic iterative reconstruction methods, improved implementation. Numer. Algorithms 79 (1) (2018)
Tommy Elfving, Per Christian Hansen
Unmatched Projector/Backprojector Pairs: Perturbation and Convergence Analysis. SIAM J. Sci. Comput. 40 (1) (2018)
Hans Martin Kjer, Yiqiu Dong, Per Christian Hansen
User-Friendly Simultaneous Tomographic Reconstruction and Segmentation with Class Priors. SSVM (2017)
Sara Soltani, Martin S. Andersen, Per Christian Hansen
Tomographic image reconstruction using training images. J. Comput. Appl. Math. 313 (2017)
Tommy Elfving, Per Christian Hansen, Touraj Nikazad
Erratum to: Convergence analysis for column-action methods in image reconstruction. Numer. Algorithms 74 (3) (2017)
Tommy Elfving, Per Christian Hansen, Touraj Nikazad
Convergence analysis for column-action methods in image reconstruction. Numer. Algorithms 74 (3) (2017)
Sara Soltani, Martin S. Andersen, Per Christian Hansen
Tomographic Image Reconstruction using Dictionary Priors. CoRR (2015)
Sara Soltani, Misha Elena Kilmer, Per Christian Hansen
A Tensor-Based Dictionary Learning Approach to Tomographic Image Reconstruction. CoRR (2015)
Rasmus Dalgas Rasmussen, Jakob Sauer Jørgensen, Henning Friis Poulsen, Per Christian Hansen
Comparison of Reconstruction Methods for Free-Space Propagation Phase-Contrast Tomography. CoRR (2015)
Martin S. Andersen, Per Christian Hansen
Generalized row-action methods for tomographic imaging. Numer. Algorithms 67 (1) (2014)
Hans Henrik B. Sørensen, Per Christian Hansen
Multicore Performance of Block Algebraic Iterative Reconstruction Methods. SIAM J. Sci. Comput. 36 (5) (2014)
Per Christian Hansen
Oblique projections and standard-form transformations for discrete inverse problems. Numer. Linear Algebra Appl. 20 (2) (2013)
Per Christian Hansen, Maria Saxild-Hansen
AIR Tools - A MATLAB package of algebraic iterative reconstruction methods. J. Comput. Appl. Math. 236 (8) (2012)
Tommy Elfving, Per Christian Hansen, Touraj Nikazad
Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms. SIAM J. Sci. Comput. 34 (4) (2012)
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 (2011)
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 (2011)
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) (2010)
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) (2009)
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) (2009)
Per Christian Hansen, James G. Nagy, Dianne P. O'Leary, Rodney Miller
. J. Electronic Imaging 17 (1) (2008)
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) (2008)
Misha Elena Kilmer, Per Christian Hansen, Malena I. Español
A Projection-Based Approach to General-Form Tikhonov Regularization. SIAM J. Sci. Comput. 29 (1) (2007)
Per Christian Hansen
Regularization Tools version 4.0 for Matlab 7.3. Numer. Algorithms 46 (2) (2007)
Joachim Dahl, Søren Holdt Jensen, Per Christian Hansen
A Convex Programming Approach to Anisotropic Smoothing. ICIP (2) (2007)
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)
Per Christian Hansen, Toke Koldborg Jensen
Large-Scale Methods in Image Deblurring. PARA (2006)
Per Christian Hansen, Toke Koldborg Jensen
Smoothing-Norm Preconditioning for Regularizing Minimum-Residual Methods. SIAM J. Matrix Anal. Appl. 29 (1) (2006)
Per Christian Hansen, Søren Holdt Jensen
Prewhitening for rank-deficient noise in subspace methods for noise reduction. IEEE Trans. Signal Process. 53 (10) (2005)
Ricardo D. Fierro, Per Christian Hansen
UTV Expansion Pack: Special-purpose rank-revealing algorithms. Numer. Algorithms 40 (1) (2005)
Per Christian Hansen
Deconvolution and Regularization with Toeplitz Matrices. Numer. Algorithms 29 (4) (2002)
Per Christian Hansen, Plamen Y. Yalamov
Computing Symmetric Rank-Revealing Decompositions via Triangular Factorization. SIAM J. Matrix Anal. Appl. 23 (2) (2001)
Per Christian Hansen, Plamen Y. Yalamov
Toeplitz Solver. SIAM J. Matrix Anal. Appl. 21 (3) (2000)
Ricardo D. Fierro, Per Christian Hansen, Peter Søren Kirk Hansen
UTV Tools: Matlab templates for rank-revealing UTV decompositions. Numer. Algorithms 20 (2-3) (1999)
Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary
Tikhonov Regularization and Total Least Squares. SIAM J. Matrix Anal. Appl. 21 (1) (1999)
Peter Søren Kirk Hansen, Per Christian Hansen, Steffen Duus Hansen, John Aasted Sørensen
Experimental comparison of signal subspace based noise reduction methods. ICASSP (1999)
Per Christian Hansen
Regularization Tools Version 3.0 for Matlab 5.2. Numer. Algorithms 20 (2-3) (1999)
Tzvetan Ostromsky, Per Christian Hansen, Zahari Zlatev
-Factorization Algorithm for Sparse Least Squares Problems. Parallel Comput. 24 (5-6) (1998)
Per Christian Hansen, Søren Holdt Jensen
FIR filter representations of reduced-rank noise reduction. IEEE Trans. Signal Process. 46 (6) (1998)
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) (1997)
Ricardo D. Fierro, Per Christian Hansen
Low-rank revealing UTV decompositions. Numer. Algorithms 15 (1) (1997)
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)
Per Christian Hansen, Søren Holdt Jensen
Filter Model of Reduced-Rank Noise Reduction. PARA (1996)
Søren Holdt Jensen, Per Christian Hansen
Reduced-rank noise reduction: A filter-bank interpretation. EUSIPCO (1996)
Per Christian Hansen, Klaus Mosegaard
Piecewise Polynomial Solutions Without a priori Break Points. Numer. Linear Algebra Appl. 3 (6) (1996)
John Brown, Per Christian Hansen, P. Kaae, C. Keable, Wojciech Owczarz, Jerzy Wasniewski, Zahari Zlatev
Comparison of Parallel Computers Using Air Pollution Models. PPSC (1995)
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) (1995)
Tzvetan Ostromsky, Per Christian Hansen, Zahari Zlatev
-Factorization Algorithm. PARA (1995)
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) (1995)
Per Christian Hansen
Test Matrices for Regularization Methods. SIAM J. Sci. Comput. 16 (2) (1995)
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) (1995)
Per Christian Hansen
Regularization Tools: A Matlab package for analysis and solution of discrete ill-posed problems. Numer. Algorithms 6 (1) (1994)
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) (1994)
Per Christian Hansen, Tzvetan Ostromsky, Zahari Zlatev
Two Enhancements in a Partitioned Sparse Code. PARA (1994)
Per Christian Hansen
Parallel Issues of Regularization Problems. PARA (1994)
John Brown, Per Christian Hansen, Jerzy Wasniewski, Zahari Zlatev
Comparison of Massively Parallel SIMD Computers Using Air Pollution Models. PARA (1994)
Tony F. Chan, Per Christian Hansen
Low-rank revealing QR factorizations. Numer. Linear Algebra Appl. 1 (1) (1994)
Per Christian Hansen, Tony F. Chan
Corrigendum: Algorithm 729; FORTRAN subroutines for general Toeplitz systems. ACM Trans. Math. Softw. 20 (1) (1994)
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) (1993)
Tony F. Chan, Per Christian Hansen
Erratum: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems. SIAM J. Matrix Anal. Appl. 14 (4) (1993)
Christian H. Bischof, Per Christian Hansen
A block algorithm for computing rank-revealing QR factorizations. Numer. Algorithms 2 (3) (1992)
Tony F. Chan, Per Christian Hansen
Some Applications of the Rank Revealing QR Factorization. SIAM J. Sci. Comput. 13 (3) (1992)
Flavio Lorenzelli, Kung Yao, Tony F. Chan, Per Christian Hansen
A systolic rank revealing QR algorithm. ASAP (1992)
Tony F. Chan, Per Christian Hansen
A look-ahead Levinson algorithm for general Toeplitz systems. IEEE Trans. Signal Process. 40 (5) (1992)
Per Christian Hansen
Analysis of Discrete Ill-Posed Problems by Means of the L-Curve. SIAM Rev. 34 (4) (1992)
Per Christian Hansen, Takashi Sekii, Hiromoto Shibahashi
The Modified Truncated SVD Method for Regularization in General Form. SIAM J. Sci. Comput. 13 (5) (1992)
Per Christian Hansen, Tony F. Chan
FORTRAN subroutines for general Toeplitz systems. ACM Trans. Math. Softw. 18 (3) (1992)
Tony F. Chan, Per Christian Hansen
A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems. SIAM J. Matrix Anal. Appl. 13 (2) (1992)
Christian H. Bischof, Per Christian Hansen
Structure-Preserving and Rank-Revealing QR-Factorizations. SIAM J. Sci. Comput. 12 (6) (1991)
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) (1990)
Per Christian Hansen
Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank. SIAM J. Sci. Comput. 11 (3) (1990)
Per Christian Hansen
Computation of the singular value expansion. Computing 40 (3) (1988)