• Patrick Scheibe, Ulf-Dietrich Braumann, Jens-Peer Kuska,
  Projection Technique for Vortex-Free Registration.
  Bildverarbeitung für die Medizin 2007 - Algorithmen, Systeme, Anwendungen. Informatik aktuell. Springer-Verlag. 2007. Editor: A. Horsch, T.M. Deserno, H. Handels, H.-P. Meinzer, T. Tolxdorff
• Jens-Peer Kuska, Patrick Scheibe, Ulf-Dietrich Braumann,
  Fluid Extensions for Optical Flow and Diffusion-based Image Registration.
  Bildverarbeitung für die Medizin 2008 - Algorithmen, Systeme, Anwendungen. Informatik aktuell. Springer-Verlag. 2008. Editor: T. Tolxdorff, A. Horsch, T.M. Deserno, H. Handels, H.-P. Meinzer,
• Jens-Peer Kuska, Patrick Scheibe, Ulf-Dietrich Braumann,
  Fast Fluid Extensions for Image Registration Algorithms.
  IEEE International Conference on Image Processing. 2008
• Olaf Minet, Patrick Scheibe, Juergen Beuthan, Urszula Zabarylo,
  Correction of motion artefacts and pseudo colour visualization of multispectral light scattering images for optical diagnosis of rheumatoid arthritis.
  Proc. SPIE. 2009 (in press).
• Olaf Minet, Patrick Scheibe, Urszula Zabarylo,
  Diagnosis of rheumatoid arthritis using light: correction of motion artefacts and colour visualization of multispectral images.
  Journal of Biophotonics. 2010

• Poster for the 13. Leipziger Workshop.
  cytomics.pdf (2.3 MB)

This was a presentation I gave at the 2nd Mathematica-day in Leipzig at september 24th. I showed the whole process of integrating the gpu-calculations into Mathematica and used julia-sets and a rigid registration as example. The presentation notebook and the required Mathematica-package can be downloaded here: CUDALecture.tar.gz (5MB)

• Patrick Scheibe, Projection Technique for Vortex-Free Image Registration.
  diploma_final.pdf (12 MB)

One important application of image processing in medicine is to register tissue samples onto another. Registering these high textured images with non-parametric methods leads sometimes to solutions which are known to be suboptimal.

This thesis is concerned with a novel approach for image registration. We present a projection technique for a curvature based non-parametric registration method which suppresses unwanted vortices in the displacement field. This new strategy does not change the registration method itself but it continuously leads the process of registration to a vortex-free solution.

The grounding method was introduced in [Ami94], used in [BK05] and extended in [BK06] with a vortex suppression term. Our new method calculates a Helmoltz decomposition on the intermediate steps and projects out unwanted vortices. This thesis describes the whole process of the image registration. Starting from the mathematical description of the Helmholtz decomposition, its variational presentation and the consequential partial differential equation, we will go on by looking at the discrete approximation, parts of the implementation and the application on images. Finally the results in comparison with the two other methods of Kuska and Braumann [BK05, BK06] are presented. For this purpose, samples are given and deformed with an artificial transformation. We will use these results and discover general properties, advantages and drawbacks of the different approaches.