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URN: urn:nbn:de:hbz:386-kluedo-21704
URL: http://kluedo.ub.uni-kl.de/volltexte/2008/2170/
Hijazi, Younis
Feature Based Visualization
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Kurzfassung in englisch
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.
| SWD-Schlagwörter: | Visualisierung , Feature , Kurve , Ray casting , Beschränkte Arithmetik , GPU , Computergraphik | |
| Freie Schlagwörter (englisch): | visualization, computer graphics, curves and surfaces, interval arithmetic, affine arithmetic, ray casting, ray tracing, GPU | |
| CCS - Klassifikation: | G.1.0 (General) G.1.0 (Computer arithmetic) G.1.0 (Conditioning (and ill-conditioning) (REVISED)) G.1.0 (Error analysis) G.1.0 (Interval arithmetic (NEW)) G.1.0 (Multiple precision arithmetic (NEW)) G.1.0 (Numerical algorithms) G.1.0 (Parallel algorithms) G.1.0 (Stability (and instability)) G.1.2 (Approximation) G.1.2 (Approximation of surfaces and contours (NEW)) G.1.2 (Chebyshev approximation and theory) G.1.2 (Elementary function approximation) G.1.2 (Fast Fourier transforms (FFT) (NEW)) G.1.2 (Least squares approximation) G.1.2 (Linear approximation) G.1.2 (Minimax approximation and algorithms) G.1.2 (Nonlinear approximation) G.1.2 (Rational approximation) G.1.2 (Special function approximations (NEW)) G.1.2 (Spline and piecewise polynomial approximation) G.1.2 (Wavelets and fractals (NEW)) G.1.5 (Roots of Nonlinear Equations) G.1.5 (Continuation (homotopy) methods (NEW)) G.1.5 (Convergence) G.1.5 (Error analysis) G.1.5 (Iterative methods) G.1.5 (Polynomials, methods for) G.1.5 (Systems of equations) I.3.3 (Picture/Image Generation) I.3.3 (Antialiasing**) I.3.3 (Bitmap and framebuffer operations) I.3.3 (Digitizing and scanning) I.3.3 (Display algorithms) I.3.3 (Line and curve generation) I.3.3 (Viewing algorithms) I.3.5 (Computational Geometry and Object Modeling) I.3.5 (Boundary representations) I.3.5 (Constructive solid geometry (CSG)**) I.3.5 (Curve, surface, solid, and object representations) I.3.5 (Geometric algorithms, languages, and systems) I.3.5 (Hierarchy and geometric transformations) I.3.5 (Modeling packages) I.3.5 (Object hierarchies) I.3.5 (Physically based modeling) I.3.5 (Splines) I.3.7 (Three-Dimensional Graphics and Realism) I.3.7 (Animation) I.3.7 (Color, shading, shadowing, and texture) I.3.7 (Fractals) I.3.7 (Hidden line/surface removal) I.3.7 (Radiosity) I.3.7 (Raytracing) I.3.7 (Virtual reality) I.3.7 (Visible line/surface algorithms) |
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| Reihe: | Dissertationen | |
| Fachbereich: | Informatik | |
| DDC-Sachgruppe: | Informatik | |
| Dokumentart: | Dissertation | |
| Hauptberichter: | Hagen, Hans (Prof. Dr.) | |
| Sprache: | englisch | |
| Tag der mündlichen Prüfung: | 14.12.2007 | |
| Erstellungsjahr: | 2007 | |
| Publikationsdatum: | 12.03.2008 |
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