Per Christian Hansen Professor of Scientific Computing Head of Scientific Computing Section Retningskoordinator Anvendt Matematik. List over alle retningspointgivende kurser. 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

Personal Data

• Curriculum vitae: PDF file.   List of publications: PDF file.

Stuff to Download

Research Project Funded by the Danish Agency for Science, Technology and Production. Click the images for information.

Teaching - Bachelor, Master and Ph.D. Courses

• Master Courses
  
  • 02625 (January) Computational Science in Imaging
  • 02637 (F2B) Advanced Matlab Programming
• Ph.D. Courses (can also be followed as master courses)
  • 02906 Discrete Inverse Problems

Various Projects

• Bachelor Projects
  Examples of projects I have supervised:
  • Google' Page Rank (2004).
  • Total Variation Image Beblurring (in Danish) (2004).
  • Deblurring of Digital Color Images (2003)
  • The Effect of Regularization Matrices and Norms in Tikhonov Based Image Restorations (2003)
• Master Thesis Projects
  Examples of projects I have supervised:
  • Parameter Estimation for Large-Scale Reconstruction (finished 2007). IMM-THESIS-2007-75.
  • Algorithms and Software for Large-Scale Geophysical Reconstructions (finished 2007). IMM-THESIS-2007-23.
  • Modular Algorithms for Large-Scale Total Varation Image Deblurring (finished 2005). IMM-THESIS-2005-06.
  • Regularizing Iterations for Image Restoration (finished 2003). IMM-THESIS-2003-18.
  • Sparse Symmetric Rank-Revealing VSV Decompositions (finished 2003). IMM-THESIS-2002-73.
    This work received IDA-IT's Dimittenddiplom.
• Ph.D. Projects
  Current PhD students and their projects:
  • Jesper Sandvig Mariegaard - Numerical Approximation of Boundary Control (joint with Dept. of Mathematics).
  See also my list of former Ph.D. students and projects.
• Research Collaborations
  CSI - Computational Science in Imaging (funded by SNF 2007-2010).
  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 is published by SIAM. The second printing is out now.
    • SIAM's book description.
    • The table of contents.
    • List of misprints and corrections for the first printing (PostScript 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 currently in the works, and is expected to be finihsed in the spring of 2009.
• 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.
  • MOORe Tools is a new modular and object-oriented toolbox for Matlab, similar in spirit to Regularization Tools, but designed for large-scale problems and based primarily on iterative methods.
  • mxTV, a software package for Total Variation image reconstruction. The core software is written in C, and with mex interfact to Matlab.
• 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.

Research Projects Image deblurring - watch or download the deblur.avi animation. Or get Blurmonica.wmv for a version with music. Geomagnetic inversion - watch or download the geomag.avi animation. Or get Magnicone.wmv for a version with music. Scientific computing (e.g., wavelets). Regularization of discrete ill-posed problems. Methods for computing nonsmooth solutions. Inverse acoustic problems. Applications of SVD. Numerical Aspects of Deconvolution. Depth Resolution in Potential Field Inversion. DIPdemo.

Professional Memberships

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

Some Links About The L-Curve

• The L-Curve for the U.S. income distribution.
• "The L-Curve Method is fun."
• Intonation pattern in upper Satakunta (Finland).
• "L-curve".

Some Interesting Links

• Free alternatives to Matlab
• TexPoint - using LaTeX in Power Point.
• Italian Coffee.
• Freely available software for linear algebra.
• Matrix Market.
• NA-Net Home Page.
• Netlib Home Page.
• Top 500 supercomputers.
• History of Mathematics archive.
• What is Hansen's motto?