Per Christian Hansen

According to our database, Per Christian Hansen authored at least 87 papers between 1988 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Inferring Object Boundaries and Their Roughness with Uncertainty Quantification.

Babak Maboudi Afkham, Nicolai André Brogaard Riis, Yiqiu Dong, Per Christian Hansen

J. Math. Imaging Vis., December, 2024

2023

Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion.

Felipe Uribe, Yiqiu Dong, Per Christian Hansen

SIAM J. Sci. Comput., June, 2023

Uncertainty Quantification of Inclusion Boundaries in the Context of X-Ray Tomography.

Babak Maboudi Afkham, Yiqiu Dong, Per Christian Hansen

SIAM/ASA J. Uncertain. Quantification, March, 2023

CUQIpy - Part II: computational uncertainty quantification for PDE-based inverse problems in Python.

Amal Mohammed A. Alghamdi, Nicolai André Brogaard Riis, Babak Maboudi Afkham, Felipe Uribe, Silja L. Christensen, Per Christian Hansen, Jakob Sauer Jørgensen

CoRR, 2023

CUQIpy - Part I: computational uncertainty quantification for inverse problems in Python.

Nicolai André Brogaard Riis, Amal Mohammed A. Alghamdi, Felipe Uribe, Silja L. Christensen, Babak Maboudi Afkham, Per Christian Hansen, Jakob Sauer Jørgensen

CoRR, 2023

Inferring Features with Uncertain Roughness.

Babak Maboudi Afkham, Nicolai André Brogaard Riis, Yiqiu Dong, Per Christian Hansen

CoRR, 2023

2022

A Hybrid Gibbs Sampler for Edge-Preserving Tomographic Reconstruction with Uncertain View Angles.

Felipe Uribe, Johnathan M. Bardsley, Yiqiu Dong, Per Christian Hansen, Nicolai André Brogaard Riis

SIAM/ASA J. Uncertain. Quantification, March, 2022

GMRES methods for tomographic reconstruction with an unmatched back projector.

Per Christian Hansen, Ken Hayami, Keiichi Morikuni

J. Comput. Appl. Math., 2022

2021

A Twin Error Gauge for Kaczmarz's Iterations.

Bart S. van Lith, Per Christian Hansen, Michiel E. Hochstenbach

SIAM J. Sci. Comput., 2021

Computed Tomography Reconstruction with Uncertain View Angles by Iteratively Updated Model Discrepancy.

Nicolai André Brogaard Riis, Yiqiu Dong, Per Christian Hansen

J. Math. Imaging Vis., 2021

Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography.

Per Christian Hansen, Jakob Sauer Jørgensen, Peter Winkel Rasmussen

Proceedings of the 2021 21st International Conference on Computational Science and Its Applications (ICCSA), Cagliari, Italy, September 13-16, 2021, 2021

2020

MCMC Algorithms for Computational UQ of Nonnegativity Constrained Linear Inverse Problems.

Johnathan M. Bardsley, Per Christian Hansen

SIAM J. Sci. Comput., 2020

2019

Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector.

Yiqiu Dong, Per Christian Hansen, Michiel E. Hochstenbach, Nicolai André Brogaard Riis

SIAM J. Sci. Comput., 2019

Hybrid enriched bidiagonalization for discrete ill-posed problems.

Per Christian Hansen, Yiqiu Dong, Kuniyoshi Abe

Numer. Linear Algebra Appl., 2019

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

Silvia Gazzola, Per Christian Hansen, James G. Nagy

Numer. Algorithms, 2019

2018

Joint CT Reconstruction and Segmentation With Discriminative Dictionary Learning.

Yiqiu Dong, Per Christian Hansen, Hans Martin Kjer

IEEE Trans. Computational Imaging, 2018

Unmatched Projector/Backprojector Pairs: Perturbation and Convergence Analysis.

Tommy Elfving, Per Christian Hansen

SIAM J. Sci. Comput., 2018

AIR Tools II: algebraic iterative reconstruction methods, improved implementation.

Per Christian Hansen, Jakob Sauer Jørgensen

Numer. Algorithms, 2018

2017

Erratum to: Convergence analysis for column-action methods in image reconstruction.

Tommy Elfving, Per Christian Hansen, Touraj Nikazad

Numer. Algorithms, 2017

Convergence analysis for column-action methods in image reconstruction.

Tommy Elfving, Per Christian Hansen, Touraj Nikazad

Numer. Algorithms, 2017

Tomographic image reconstruction using training images.

Sara Soltani, Martin S. Andersen, Per Christian Hansen

J. Comput. Appl. Math., 2017

User-Friendly Simultaneous Tomographic Reconstruction and Segmentation with Class Priors.

Hans Martin Kjer, Yiqiu Dong, Per Christian Hansen

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

2015

A Tensor-Based Dictionary Learning Approach to Tomographic Image Reconstruction.

Sara Soltani, Misha Elena Kilmer, Per Christian Hansen

CoRR, 2015

Tomographic Image Reconstruction using Dictionary Priors.

Sara Soltani, Martin S. Andersen, Per Christian Hansen

CoRR, 2015

Comparison of Reconstruction Methods for Free-Space Propagation Phase-Contrast Tomography.

Rasmus Dalgas Rasmussen, Jakob Sauer Jørgensen, Henning Friis Poulsen, Per Christian Hansen

CoRR, 2015

2014

Multicore Performance of Block Algebraic Iterative Reconstruction Methods.

Hans Henrik B. Sørensen, Per Christian Hansen

SIAM J. Sci. Comput., 2014

Generalized row-action methods for tomographic imaging.

Martin S. Andersen, Per Christian Hansen

Numer. Algorithms, 2014

2013

Oblique projections and standard-form transformations for discrete inverse problems.

Per Christian Hansen

Numer. Linear Algebra Appl., 2013

2012

Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms.

Tommy Elfving, Per Christian Hansen, Touraj Nikazad

SIAM J. Sci. Comput., 2012

AIR Tools - A MATLAB package of algebraic iterative reconstruction methods.

Per Christian Hansen, Maria Saxild-Hansen

J. Comput. Appl. Math., 2012

2011

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

Jakob Heide Jørgensen, Tobias Lindstrøm Jensen, Per Christian Hansen, Søren Holdt Jensen, Emil Y. Sidky, Xiaochuan Pan

CoRR, 2011

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

Tobias Lindstrøm Jensen, Jakob Heide Jørgensen, Per Christian Hansen, Søren Holdt Jensen

CoRR, 2011

2010

Algorithms and software for total variation image reconstruction via first-order methods.

Joachim Dahl, Per Christian Hansen, Søren Holdt Jensen, Tobias Lindstrøm Jensen

Numer. Algorithms, 2010

2009

Reconstruction of Single-Grain Orientation Distribution Functions for Crystalline Materials.

Per Christian Hansen, Henning Osholm Sørensen, Zsuzsanna Sükösd, Henning Friis Poulsen

SIAM J. Imaging Sci., 2009

A hybrid method for the parallel computation of Green's functions.

Dan Erik Petersen, Song Li, Kurt Stokbro, Hans Henrik B. Sørensen, Per Christian Hansen, Stig Skelboe, Eric Darve

J. Comput. Phys., 2009

2008

<i>Deblurring Images: Matrices, Spectra and Filtering</i>.

Per Christian Hansen, James G. Nagy, Dianne P. O'Leary, Rodney Miller

J. Electronic Imaging, 2008

Block tridiagonal matrix inversion and fast transmission calculations.

Dan Erik Petersen, Hans Henrik B. Sørensen, Per Christian Hansen, Stig Skelboe, Kurt Stokbro

J. Comput. Phys., 2008

2007

A Projection-Based Approach to General-Form Tikhonov Regularization.

Misha Elena Kilmer, Per Christian Hansen, Malena I. Español

SIAM J. Sci. Comput., 2007

Regularization Tools version 4.0 for Matlab 7.3.

Per Christian Hansen

Numer. Algorithms, 2007

Subspace-Based Noise Reduction for Speech Signals via Diagonal and Triangular Matrix Decompositions: Survey and Analysis.

Per Christian Hansen, Søren Holdt Jensen

EURASIP J. Adv. Signal Process., 2007

A Convex Programming Approach to Anisotropic Smoothing.

Joachim Dahl, Søren Holdt Jensen, Per Christian Hansen

Proceedings of the International Conference on Image Processing, 2007

2006

Smoothing-Norm Preconditioning for Regularizing Minimum-Residual Methods.

Per Christian Hansen, Toke Koldborg Jensen

SIAM J. Matrix Anal. Appl., 2006

Large-Scale Methods in Image Deblurring.

Per Christian Hansen, Toke Koldborg Jensen

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

2005

Prewhitening for rank-deficient noise in subspace methods for noise reduction.

Per Christian Hansen, Søren Holdt Jensen

IEEE Trans. Signal Process., 2005

UTV Expansion Pack: Special-purpose rank-revealing algorithms.

Ricardo D. Fierro, Per Christian Hansen

Numer. Algorithms, 2005

2002

Deconvolution and Regularization with Toeplitz Matrices.

Per Christian Hansen

Numer. Algorithms, 2002

2001

Computing Symmetric Rank-Revealing Decompositions via Triangular Factorization.

Per Christian Hansen, Plamen Y. Yalamov

SIAM J. Matrix Anal. Appl., 2001

2000

Stabilization by Perturbation of a 4<i>n</i>² Toeplitz Solver.

Per Christian Hansen, Plamen Y. Yalamov

SIAM J. Matrix Anal. Appl., 2000

1999

Tikhonov Regularization and Total Least Squares.

Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary

SIAM J. Matrix Anal. Appl., 1999

Regularization Tools Version 3.0 for Matlab 5.2.

Per Christian Hansen

Numer. Algorithms, 1999

UTV Tools: Matlab templates for rank-revealing UTV decompositions.

Ricardo D. Fierro, Per Christian Hansen, Peter Søren Kirk Hansen

Numer. Algorithms, 1999

Experimental comparison of signal subspace based noise reduction methods.

Peter Søren Kirk Hansen, Per Christian Hansen, Steffen Duus Hansen, John Aasted Sørensen

Proceedings of the 1999 IEEE International Conference on Acoustics, 1999

1998

FIR filter representations of reduced-rank noise reduction.

Per Christian Hansen, Søren Holdt Jensen

IEEE Trans. Signal Process., 1998

A Coarse-Grained Parallel <i>QR</i>-Factorization Algorithm for Sparse Least Squares Problems.

Tzvetan Ostromsky, Per Christian Hansen, Zahari Zlatev

Parallel Comput., 1998

1997

Regularization by Truncated Total Least Squares.

Ricardo D. Fierro, Gene H. Golub, Per Christian Hansen, Dianne P. O'Leary

SIAM J. Sci. Comput., 1997

Low-rank revealing UTV decompositions.

Ricardo D. Fierro, Per Christian Hansen

Numer. Algorithms, 1997

1996

Piecewise Polynomial Solutions Without a priori Break Points.

Per Christian Hansen, Klaus Mosegaard

Numer. Linear Algebra Appl., 1996

Filter Model of Reduced-Rank Noise Reduction.

Per Christian Hansen, Søren Holdt Jensen

Proceedings of the Applied Parallel Computing, 1996

Reduced-rank noise reduction: A filter-bank interpretation.

Søren Holdt Jensen, Per Christian Hansen

Proceedings of the 8th European Signal Processing Conference, 1996

Noise reduction of speech signals using the rank-revealing ULLV decomposition.

Peter Søren Kirk Hansen, Per Christian Hansen, Steffen Duus Hansen, John Aasted Sørensen

Proceedings of the 8th European Signal Processing Conference, 1996

1995

Reduction of broad-band noise in speech by truncated QSVD.

Søren Holdt Jensen, Per Christian Hansen, Steffen Duus Hansen, John Aasted Sørensen

IEEE Trans. Speech Audio Process., 1995

Test Matrices for Regularization Methods.

Per Christian Hansen

SIAM J. Sci. Comput., 1995

Implementation of QR Up- and Downdating on a Massively Parallel Computer.

Claus Bendtsen, Per Christian Hansen, Kaj Madsen, Hans Bruun Nielsen, Mustafa Ç. Pinar

Parallel Comput., 1995

Locally Optimized Reordering Algorithm and its Application to a Parallel Sparse Linear System Solver.

Kyle A. Gallivan, Per Christian Hansen, Tzvetan Ostromsky, Zahari Zlatev

Computing, 1995

Comparison of Parallel Computers Using Air Pollution Models.

John Brown, Per Christian Hansen, P. Kaae, C. Keable, Wojciech Owczarz, Jerzy Wasniewski, Zahari Zlatev

Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

A Parallel Sparse <i>QR</i>-Factorization Algorithm.

Tzvetan Ostromsky, Per Christian Hansen, Zahari Zlatev

Proceedings of the Applied Parallel Computing, 1995

1994

A systolic implementation of the Chan/Foster RRQR algorithm.

Flavio Lorenzelli, Per Christian Hansen, Tony F. Chan, Kung Yao

IEEE Trans. Signal Process., 1994

Corrigendum: Algorithm 729; FORTRAN subroutines for general Toeplitz systems.

Per Christian Hansen, Tony F. Chan

ACM Trans. Math. Softw., 1994

Low-rank revealing QR factorizations.

Tony F. Chan, Per Christian Hansen

Numer. Linear Algebra Appl., 1994

Regularization Tools: A Matlab package for analysis and solution of discrete ill-posed problems.

Per Christian Hansen

Numer. Algorithms, 1994

Two Enhancements in a Partitioned Sparse Code.

Per Christian Hansen, Tzvetan Ostromsky, Zahari Zlatev

Proceedings of the Parallel Scientific Computing, First International Workshop, 1994

Parallel Issues of Regularization Problems.

Per Christian Hansen

Proceedings of the Parallel Scientific Computing, First International Workshop, 1994

Comparison of Massively Parallel SIMD Computers Using Air Pollution Models.

John Brown, Per Christian Hansen, Jerzy Wasniewski, Zahari Zlatev

Proceedings of the Parallel Scientific Computing, First International Workshop, 1994

1993

Erratum: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems.

Tony F. Chan, Per Christian Hansen

SIAM J. Matrix Anal. Appl., October, 1993

The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems.

Per Christian Hansen, Dianne P. O'Leary

SIAM J. Sci. Comput., 1993

1992

A look-ahead Levinson algorithm for general Toeplitz systems.

Tony F. Chan, Per Christian Hansen

IEEE Trans. Signal Process., 1992

FORTRAN subroutines for general Toeplitz systems.

Per Christian Hansen, Tony F. Chan

ACM Trans. Math. Softw., 1992

The Modified Truncated SVD Method for Regularization in General Form.

Per Christian Hansen, Takashi Sekii, Hiromoto Shibahashi

SIAM J. Sci. Comput., 1992

Some Applications of the Rank Revealing QR Factorization.

Tony F. Chan, Per Christian Hansen

SIAM J. Sci. Comput., 1992

Analysis of Discrete Ill-Posed Problems by Means of the L-Curve.

Per Christian Hansen

SIAM Rev., 1992

A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems.

Tony F. Chan, Per Christian Hansen

SIAM J. Matrix Anal. Appl., 1992

A block algorithm for computing rank-revealing QR factorizations.

Christian H. Bischof, Per Christian Hansen

Numer. Algorithms, 1992

A systolic rank revealing QR algorithm.

Flavio Lorenzelli, Kung Yao, Tony F. Chan, Per Christian Hansen

Proceedings of the Application Specific Array Processors, 1992

1991

Structure-Preserving and Rank-Revealing QR-Factorizations.

Christian H. Bischof, Per Christian Hansen

SIAM J. Sci. Comput., 1991

1990

Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank.

Per Christian Hansen

SIAM J. Sci. Comput., 1990

Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations.

Tony F. Chan, Per Christian Hansen

SIAM J. Sci. Comput., 1990

1988

Computation of the singular value expansion.

Per Christian Hansen

Computing, 1988