Per Christian Hansen, Professor of Scientific Computing

Per Christian Hansen

Section for Scientific Computing

Professor of Scientific Computing
Head of Scientific Computing Section
Office
DTU Informatics
Section for Scientific Computing
Building 321, Room 012
Technical University of Denmark
DK-2800 Lyngby, Denmark

Email: pch@imm.dtu.dk
URL: http://www.imm.dtu.dk/~pch
Phone: +45 45.25.33.51
Direct: +45 45.25.30.97
Fax: +45 45.88.26.73

I do not reply to uninvited applications for PhD positions or other positions.

Research Projects

Click the logos for information.

Personal Data

Curriculum vitae: PDF file. List of publications: PDF file. Short CV: PDF file. H-index : 32 (April 7, 2012).
I am one of the five Highly Cited Danish mathematicians: Thomson Reuters Highly Cited

Stuff to Download

Matlab Software for Reconstruction and Imaging

Various Projects

Bachelor Projects
Examples of projects I have supervised:
- Acceleration of Iterative Methods for Reconstruction in Tomography (2011).
- Radon Transform in Tomographic Image Reconstruction (2009).
- Matematiske modeller for billedrekonstruktion (2008).
Master Thesis Projects
Examples of projects I have supervised (links to pdf files are currently disabled by the DTU Library):
- Hybrid Methods for Large-Scale tomographic Reconstructions (2012). IMM-M.Sc.-2012-16.
- Ray-Tracing Problems for Tomographic Reconstruction in Materials Science (2011). IMM-M.Sc.-2011-79.
- Omni-Directional Image Deblurring (2011). IMM-M.Sc.-2011-11.
  This project received the Master Thesis Award (Specialeprisen) 2011 from the Danish Mathematical Society.
- Implementation and Evaluation of a Splitting Method for Total Variation Deblurring (2011). IMM-M.Sc.-2011-12
- Depth Resolution in 3D Imaging (2010). IMM-M.Sc.-2010-36
- Sound Source Reconstruction with Covariance Matrix Fitting (2010). IMM-M.Sc.-2010-08
- Matlab Package for Algebraic Reconstruction Techniques (2010). IMM-M.Sc.-2010-18
- Parameter Estimation for Large-Scale Reconstruction (2007). IMM-THESIS-2007-75.
- Algorithms and Software for Large-Scale Geophysical Reconstructions (2007). IMM-THESIS-2007-23.
Ph.D. Projects
Current PhD students and their projects:
- Jakob Heide Jørgensen - Tomography with Prior Information.
- Anders Skajaa - Large-Scale Algorithms for Non-Smooth Convex Optimization.
- Oscar P. Borries - Large-Scale Computational Electromanetics for Reflector Antenna Analysis - industrial PhD project with TICRA.
See also my list of former Ph.D. students and projects.
Research Projects
- HT-Tomo - High-Definition Tomography (through the use of prior information (funded by the European Research Council).
- Scientific GPU Computing - Desktop Scientific Computing on Consumer Graphics Cards (funded by FTP 2010-2013).
- CSI - Computational Science in Imaging (funded by FTP 2007-2012).
- Inverse Problems
Past projects that I have headed:
- SASI - Stabiliserings-Algoritmer til Storskala Inversion (Stabilization Algorithms for Large-Scale Inversion, funded by SNF 2004-2006).
- SCOSI - Scientific Computing in Optimization, Simulation, and Inversion (funded by SNF 2000-2002).

Publications, Software, Technical Reports, Etc.

Published and submitted papers, technical reports, etc.
- Link to a continuously updated list of my works.
Books.
- The monograph Rank-Deficient and Discrete Ill-Posed Problems (second printing) is published by SIAM.
  - SIAM's book description.
  - The table of contents.
  - List of misprints and corrections for the first printing (pdf file).
- The book Deblurring Images: Matrices, Spectra, and Filtering, written jointly with James G. Nagy and Dianne P. O'Leary, is also published by SIAM.
  - SIAM's book description.
  - The book's home page includes Matlab functions, images and other material related to the book.
  - List of misprints and corrections.
- The textbook Discrete Inverse Problems: Insight and Algorithms is another book published by SIAM.
  - SIAM's book description.
  - The book's home page has a suggestion for a short course based on the book, including overheads, and a list of misprints.
- The monograph Least Squares Data Fitting with Applications is written jointly with Victor Pereyra and Godela Scherer, and it will be published by Johns Hopkins University Press in 2012.
  - The cover (preliminary version).
Matlab Software for Regularization of Discrete Ill-Posed Problems.
- Regularization Tools (Version 4.0 for Matlab 7.3) is a Matlab package for analysis and solution of discrete ill-posed problems. The software and the manual is available, as well as some additional functions that provide new functionality.
- AIR Tools is a Matlab package of algebraic iterative reconstruction methods.
- mxTV, a software package for Total Variation image reconstruction. The core software is written in C, and with mex interfact to Matlab.
- TVReg, a software package for 3D tomography using Total Variation regularization. The core software is written in C, and with mex interfact to Matlab.
- OmniBlur, a software package for modeling and reconstruction of images degraded by rotational blur.
Matlab Software for Rank-Deficient Problems.
- UTV Tools is a package of 46 Matlab functions for computing and modifying rank-revealing decompositions, with focus on URV and ULV decompositions.
- UTV Expansion Pack, with extensions and new algorithms, is also available.

Professional Memberships

SIAM - Society for Industrial and Applied Mathematics.
Danish Academy of Technical Sciences (ATV).
Danish Academy of Naltural Sciences (DNA).