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Möbius photogrammetry - MaRDI portal

Möbius photogrammetry (Q895708)

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Möbius photogrammetry
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    Möbius photogrammetry (English)
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    4 December 2015
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    The present paper deals with the problem of reconstructing a vector of points in three-dimensional space starting from its orthogonal parallel projections called, \textit{Möbius photogrammetry}. The authors are motivated by results on the mobility of mechanical devices called pentapods. The group of \textit{Möbius transformations} is considered and a definition of the \textit{Möbius camera} and its properties are given. The presented theory is applied to get necessary conditions for mobility of pentapods.
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    bond theory
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    \(n\)-pods
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    self-motion
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    Möbius photogrammetry
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    Möbius transformations
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    pentapods
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