New Models for High-Quality Surface Reconstruction and Rendering

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Date
2011-03-17
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Kalbe
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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@inproceedings{
10.2312:diss.20118264
, booktitle = {
EG Graphics Dissertation Online
}, editor = {}, title = {{
New Models for High-Quality Surface Reconstruction and Rendering
}}, author = {
Kalbe, Thomas
and
}, year = {
2011-03-17
}, publisher = {
Kalbe
}, ISBN = {}, DOI = {
10.2312/diss.20118264
} }
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