Binocular Computer Vision Based on Conformal Geometric Algebra

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F17%3APU124517" target="_blank" >RIV/00216305:26210/17:PU124517 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00006-017-0764-4" target="_blank" >https://link.springer.com/article/10.1007/s00006-017-0764-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-017-0764-4" target="_blank" >10.1007/s00006-017-0764-4</a>

Result language
angličtina
Original language name
Binocular Computer Vision Based on Conformal Geometric Algebra
Original language description
We apply the conformal geometric algebra (CGA) to the generalized binocular vision problem. More precisely, we reconstruct a 3D line from its images on the image planes of two cameras whose mutual position is specified by a given Euclidean transformation which depends on an arbitrary number of parameters. We represent all transformations by CGA elements which allows us to derive the general equations of 3D line reconstruction by formal CGA elements manipulation. The transformation equations can be solved w.r.t. either motor or projection unknown parameters. We present two specific examples, show the explicit form of two particular motors and solve the appropriate equations completely.
Czech name
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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
<a href="/en/project/GA17-21360S" target="_blank" >GA17-21360S: Advances in Snake-like Robot Control</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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