Feature Based Visualization

  • 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.
  • Feature-basiert Visualisierung

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Metadaten
Author:Younis Hijazi
URN (permanent link):urn:nbn:de:hbz:386-kluedo-21704
Advisor:Hans Hagen
Document Type:Doctoral Thesis
Language of publication:English
Year of Completion:2007
Year of Publication:2007
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2007/12/14
Date of the Publication (Server):2008/03/12
Tag:GPU; affine arithmetic; computer graphics; curves and surfaces; interval arithmetic; ray casting; ray tracing; visualization
GND-Keyword:Beschränkte Arithmetik ; Computergraphik; Feature ; GPU ; Kurve ; Ray casting ; Visualisierung
Faculties / Organisational entities:Fachbereich Informatik
CCS-Classification (computer science):G. Mathematics of Computing / G.1 NUMERICAL ANALYSIS / G.1.0 General
G. Mathematics of Computing / G.1 NUMERICAL ANALYSIS / G.1.2 Approximation
G. Mathematics of Computing / G.1 NUMERICAL ANALYSIS / G.1.5 Roots of Nonlinear Equations
I. Computing Methodologies / I.3 COMPUTER GRAPHICS / I.3.3 Picture/Image Generation
I. Computing Methodologies / I.3 COMPUTER GRAPHICS / I.3.5 Computational Geometry and Object Modeling
I. Computing Methodologies / I.3 COMPUTER GRAPHICS / I.3.7 Three-Dimensional Graphics and Realism
DDC-Cassification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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