TY  - GEN
TI  - Visualizing High-Resolution Numerical Data with Isosurfaces using Topological Methods
Y1  - 2013///
ID  - heidok16924
A1  - Kolb, Lisa
N2  - In this bachelor thesis three-dimensional scalar data is visualized using isosurfaces. The given data is the output of simulations of T cells in the lymph nodes. Some of these cells produce a biochemical substance of which the concentration distribution is of interest. Peculiarities of the given data are that the values range over several orders of magnitude and that the domain has holes. This leads to holes in the isosurfaces.
Difficulties when using isosurfaces are the fact that isosurfaces can be hidden by others and that the resulting image representations can be hard to interpret. These problems are solved by using varying transparencies for different isovalues.
The quality of visualizations using isosurfaces also highly depends on the choice and number of the isovalues. In order to choose those isosurfaces that represent important features of the data, topological information is computed. For this purpose, an algorithm originally applied to grayscale images of CT scans is modified to use it on the scalar data. The algorithm computes the Morse complex of the data, which can then be utilized to determine the persistent homology classes and corresponding Betti numbers. All the extracted information is used to gain an improved visualization using isosurfaces.
AV  - public
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/16924/
ER  -