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)
That talk was given at the 12.
Mathematica-day in Berlin (November 2010) and it shows how the
the basic, radial Droste-Effect works and how it can be implemented using the Wolfram Link Library of
Mathematica 8.0. This file includes the whole talk and all preparation material including a small
Mathematica-package and C-sources.
DrosteEffect.tar.gz (7MB)
That talk was given at the 12.
Mathematica-day in Berlin (November 2010) and it shows how the
the basic, radial Droste-Effect works and how it can be implemented using the Wolfram Link Library of
Mathematica 8.0. This file includes the whole talk and all preparation material including a small
Mathematica-package and C-sources.
DrosteEffect.tar.gz (7MB)
That talk was given at the 13.
Mathematica-day in Berlin (December 2011).
The presentation shows how to design unique patterns using persons names and model them onto a 3d visualization
of a ring.
While the approach itself is very simple, the presentation shows how to use the dynamic features of Mathematica
beyond the trivial cases.
RingDesign.cdf (2.5MB)
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.