Visualizing the Positional and Geometrical Variability of Isosurfaces in Uncertain Scalar Fields

We present a novel approach for visualizing the positional and geometrical variability of isosurfaces in uncertain 3D scalar fields. Our approach extends recent work by Pöthkow and Hege [PH10] in that it accounts for correlations in the data to determine more reliable isosurface crossing probabiliti...

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Bibliographic Details
Published in:Computer graphics forum Vol. 30; no. 3; pp. 951 - 960
Main Authors: Pfaffelmoser, Tobias, Reitinger, Matthias, Westermann, Rüdiger
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.06.2011
Subjects:
3-D graphics
Analysis
Approximation
Color
Computer graphics
Correlation
Deviation
Display algorithms
Display algorithms, Viewing algorithms
Geometry
I.3.3 [Computer Graphics]: Picture/Image Generation
Image processing systems
Sampling
Scalars
Studies
Three dimensional
Uncertainty
Viewing algorithms
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:We present a novel approach for visualizing the positional and geometrical variability of isosurfaces in uncertain 3D scalar fields. Our approach extends recent work by Pöthkow and Hege [PH10] in that it accounts for correlations in the data to determine more reliable isosurface crossing probabilities. We introduce an incremental update‐scheme that allows integrating the probability computation into front‐to‐back volume ray‐casting efficiently. Our method accounts for homogeneous and anisotropic correlations, and it determines for each sampling interval along a ray the probability of crossing an isosurface for the first time. To visualize the positional and geometrical uncertainty even under viewing directions parallel to the surface normal, we propose a new color mapping scheme based on the approximate spatial deviation of possible surface points from the mean surface. The additional use of saturation enables to distinguish between areas of high and low statistical dependence. Experimental results confirm the effectiveness of our approach for the visualization of uncertainty related to position and shape of convex and concave isosurface structures.
Bibliography:istex:EBC29E7032D17D21568437CD37A7C39A2C31B3FB
ark:/67375/WNG-R24ZHZ8R-G
ArticleID:CGF1944
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ISSN:0167-7055
1467-8659
DOI:10.1111/j.1467-8659.2011.01944.x