Distortion Varieties

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00315123" target="_blank" >RIV/68407700:21230/18:00315123 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21730/18:00315123
Result on the web
<a href="https://link.springer.com/article/10.1007/s10208-017-9361-0#citeas" target="_blank" >https://link.springer.com/article/10.1007/s10208-017-9361-0#citeas</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10208-017-9361-0" target="_blank" >10.1007/s10208-017-9361-0</a>

Result language
angličtina
Original language name
Distortion Varieties
Original language description
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 Gröbner 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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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