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Proceedings Paper

Interactive isosurfaces with quadratic C1 splines on truncated octahedral partitions
Author(s): Alexander Marinc; Thomas Kalbe; Markus Rhein; Michael Goesele
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Paper Abstract

The reconstruction of a continuous function from discrete data is a basic task in many applications such as the visualization of 3D volumetric data sets. We use a local approximation method for quadratic C1 splines on uniform tetrahedral partitions to achieve a globally smooth function. The spline is based on a truncated octahedral partition of the volumetric domain, where each truncated octahedron is further split into a fixed number of disjunct tetrahedra. The Bernstein-Bézier coefficients of the piecewise polynomials are directly determined by appropriate combinations of the data values in a local neighborhood. As previously shown, the splines provide an approximation order two for smooth functions as well as their derivatives. We present the first visualizations using these splines and show that they are well-suited for GPU-based, interactive high-quality visualization of isosurfaces from discrete data.

Paper Details

Date Published: 24 January 2011
PDF: 8 pages
Proc. SPIE 7868, Visualization and Data Analysis 2011, 786808 (24 January 2011); doi: 10.1117/12.876105
Show Author Affiliations
Alexander Marinc, Fraunhofer IGD Darmstadt (Germany)
Thomas Kalbe, Technische Univ. Darmstadt (Germany)
Markus Rhein, Univ. Mannheim (Germany)
Michael Goesele, Technische Univ. Darmstadt (Germany)


Published in SPIE Proceedings Vol. 7868:
Visualization and Data Analysis 2011
Pak Chung Wong; Jinah Park; Ming C. Hao; Chaomei Chen; Katy Börner; David L. Kao; Jonathan C. Roberts, Editor(s)

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