The Chiral Domain of a Camera Arrangement

We introduce the chiral domain of an arrangement of cameras A = { A 1 , . . . , A m } which is the subset of P 3 visible in A . It generalizes the classical definition of chirality to include all of P 3 and offers a unifying framework for studying multiview chirality. We give an algebraic descriptio...

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Bibliographic Details
Published in:Journal of mathematical imaging and vision 2022-11, Vol.64 (9), p.948-967
Main Authors: Agarwal, Sameer, Pryhuber, Andrew, Sinn, Rainer, Thomas, Rekha R.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Cameras
Chirality
Computer Science
Domains
Image Processing and Computer Vision
Mathematical Methods in Physics
Signal,Image and Speech Processing
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Summary:We introduce the chiral domain of an arrangement of cameras A = { A 1 , . . . , A m } which is the subset of P 3 visible in A . It generalizes the classical definition of chirality to include all of P 3 and offers a unifying framework for studying multiview chirality. We give an algebraic description of the chiral domain which allows us to define and describe the chiral version of Triggs’ joint image. We then use the chiral domain to re-derive and extend prior results on chirality due to Hartley.
ISSN:0924-9907
1573-7683
DOI:10.1007/s10851-022-01101-2