Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uncertainty Visualization of the Marching Squares and Marching Cubes
  Topology Cases   Marching squares (MS) and marching cubes (MC) are widely used algorithms for
level-set visualization of scientific data. In this paper, we address the
challenge of uncertainty visualization of the topology cases of the MS and MC
algorithms for uncertain scalar field data sampled on a uniform grid. The
visualization of the MS and MC topology cases for uncertain data is challenging
due to their exponential nature and the possibility of multiple topology cases
per cell of a grid. We propose the topology case count and entropy-based
techniques for quantifying uncertainty in the topology cases of the MS and MC
algorithms when noise in data is modeled with probability distributions. We
demonstrate the applicability of our techniques for independent and correlated
uncertainty assumptions. We visualize the quantified topological uncertainty
via color mapping proportional to uncertainty, as well as with interactive
probability queries in the MS case and entropy isosurfaces in the MC case. We
demonstrate the utility of our uncertainty quantification framework in
identifying the isovalues exhibiting relatively high topological uncertainty.
We illustrate the effectiveness of our techniques via results on synthetic,
simulation, and hixel datasets.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol