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IEEE Trans Vis Comput Graph. 2013 Dec;19(12):2723-32. doi: 10.1109/TVCG.2013.208.

Uncertainty quantification in linear interpolation for isosurface extraction.

Author information

1
University of Florida.

Abstract

We present a study of linear interpolation when applied to uncertain data. Linear interpolation is a key step for isosurface extraction algorithms, and the uncertainties in the data lead to non-linear variations in the geometry of the extracted isosurface. We present an approach for deriving the probability density function of a random variable modeling the positional uncertainty in the isosurface extraction. When the uncertainty is quantified by a uniform distribution, our approach provides a closed-form characterization of the mentioned random variable. This allows us to derive, in closed form, the expected value as well as the variance of the level-crossing position. While the former quantity is used for constructing a stable isosurface for uncertain data, the latter is used for visualizing the positional uncertainties in the expected isosurface level crossings on the underlying grid.

PMID:
24051839
DOI:
10.1109/TVCG.2013.208
[Indexed for MEDLINE]

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