TY  - THES
A1  - Hijazi, Younis
T1  - Feature Based Visualization
N2  - In this thesis we apply powerful mathematical tools such as interval arithmetic for applications in computational geometry, visualization and computer graphics, leading to robust, general and efficient algorithms. We present a completely novel approach for computing the arrangement of arbitrary implicit planar curves and perform ray casting of arbitrary implicit functions by jointly achieving, for the first time, robustness, efficiency and flexibility. Indeed we are able to render even the most difficult implicits in real-time with guaranteed topology and at high resolution. We use subdivision and interval arithmetic as key-ingredients to guarantee robustness. The presented framework is also well-suited for applications to large and unstructured data sets due to the inherent adaptivity of the techniques that are used. We also approach the topic of tensors by collaborating with mechanical engineers on comparative tensor visualization and provide them with helpful visualization paradigms to interpret the data.
N2  - Feature-basiert Visualisierung
KW  - Visualisierung
KW  - Feature
KW  - Kurve
KW  - Ray casting
KW  - Beschränkte Arithmetik
KW  - GPU
KW  - Computergraphik
KW  - visualization
KW  - computer graphics
KW  - curves and surfaces
KW  - interval arithmetic
KW  - affine arithmetic
KW  - ray casting
KW  - ray tracing
KW  - GPU
Y1  - 2007
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1938
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-21704
ER  -