Kalbe, Thomas
:
New Models for High-Quality Surface Reconstruction and Rendering.
[Online-Edition: urn:nbn:de:tuda-tuprints-24959]
TU Darmstadt
[Ph.D. Thesis], (2011)
Abstract
The efficient reconstruction and artifact-free visualization of surfaces from measured real-world data is an important issue in various applications, such as medical and scientific visualization, quality control, and the media-related industry. The main contribution of this thesis is the development of the first efficient GPU-based reconstruction and visualization methods using trivariate splines, i.e., splines defined on tetrahedral partitions. Our methods show that these models are very well-suited for real-time reconstruction and high-quality visualizations of surfaces from volume data. We create a new quasi-interpolating operator which for the first time solves the problem of finding a globally C1-smooth quadratic spline approximating data and where no tetrahedra need to be further subdivided. In addition, we devise a new projection method for point sets arising from a sufficiently dense sampling of objects. Compared with existing approaches, high-quality surface triangulations can be generated with guaranteed numerical stability. Keywords. Piecewise polynomials; trivariate splines; quasi-interpolation; volume data; GPU ray casting; surface reconstruction; point set surfaces
| Item Type: | Ph.D. Thesis | ||||
|---|---|---|---|---|---|
| Erschienen: | 2011 | ||||
| Creators: | Kalbe, Thomas | ||||
| Title: | New Models for High-Quality Surface Reconstruction and Rendering | ||||
| Language: | English | ||||
| Abstract: | The efficient reconstruction and artifact-free visualization of surfaces from measured real-world data is an important issue in various applications, such as medical and scientific visualization, quality control, and the media-related industry. The main contribution of this thesis is the development of the first efficient GPU-based reconstruction and visualization methods using trivariate splines, i.e., splines defined on tetrahedral partitions. Our methods show that these models are very well-suited for real-time reconstruction and high-quality visualizations of surfaces from volume data. We create a new quasi-interpolating operator which for the first time solves the problem of finding a globally C1-smooth quadratic spline approximating data and where no tetrahedra need to be further subdivided. In addition, we devise a new projection method for point sets arising from a sufficiently dense sampling of objects. Compared with existing approaches, high-quality surface triangulations can be generated with guaranteed numerical stability. Keywords. Piecewise polynomials; trivariate splines; quasi-interpolation; volume data; GPU ray casting; surface reconstruction; point set surfaces |
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| Uncontrolled Keywords: | trivariate Splines, Quasi-Interpolation, GPU Raycasting, Oberflächenrekonstruktion, unstrukturierte Punktemengen | ||||
| Divisions: | Fachbereich Informatik > Graphisch-Interaktive Systeme Fachbereich Informatik |
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| Date Deposited: | 04 Apr 2011 09:13 | ||||
| Official URL: | urn:nbn:de:tuda-tuprints-24959 | ||||
| Referees: | Fellner, Prof. Dieter W. and Theisel, Prof. Holger | ||||
| Refereed / Verteidigung / mdl. Prüfung: | 8 March 2011 | ||||
| Alternative Abstract: |
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