Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distortion Varieties   The distortion varieties of a given projective variety are parametrized by
duplicating coordinates and multiplying them with monomials. We study their
degrees and defining equations. Exact formulas are obtained for the case of
one-parameter distortions. These are based on Chow polytopes and Gr\"obner
bases. Multi-parameter distortions are studied using tropical geometry. The
motivation for distortion varieties comes from multi-view geometry in computer
vision. Our theory furnishes a new framework for formulating and solving
minimal problems for camera models with image distortion.

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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat