The Chiral Domain of a Camera Arrangement

Agarwal, Sameer; Pryhuber, Andrew; Sinn, Rainer; Thomas, Rekha R.

doi:10.48550/arxiv.2003.09265

Cited by 2 publications

(2 citation statements)

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“…It is also desirable to better understand semialgebraic constraints implicit in image formation, such as those which enforce that world points lie in front of the camera [105]. Two recent preprints that go in this direction are [7,187]. For other geometric problems in vision requiring robust estimation, methods based on convex relaxations are popular alternatives to RANSAC, since solutions can often be certified by computing duality gaps.…”

Section: Algebraic Vision By Timothy Duffmentioning

confidence: 99%

Nonlinear Algebra and Applications

Breiding¹,

Çelik²,

Timothy³

et al. 2021

Preprint

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We showcase applications of nonlinear algebra in the sciences and engineering. Our survey is organized into eight themes: polynomial optimization, partial differential equations, algebraic statistics, integrable systems, configuration spaces of frameworks, biochemical reaction networks, algebraic vision, and tensor decompositions. Conversely, developments on these topics inspire new questions and algorithms for algebraic geometry.

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Section: Algebraic Vision By Timothy Duffmentioning

confidence: 99%

Nonlinear Algebra and Applications

Breiding¹,

Çelik²,

Timothy³

et al. 2021

Preprint

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“…Werner and Pajdla [14] give necessary and sufficient conditions for an image point set to correspond to any real imaging geometry. Agarwal and Pryhuber [15] give an algebraic description of mutiview cheirality. In this paper, we use the cheirality constraint to segment epipolar line and identify the correct epipolar segment.…”

Section: Introductionmentioning

confidence: 99%

Segmenting Epipolar Line

Cai

2020

2020 13th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI)

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Identifying feature correspondence between two images is a fundamental procedure in three-dimensional computer vision. Usually the feature search space is confined by the epipolar line. Using the cheirality constraint, this paper finds that the feature search space can be restrained to one of two or three segments of the epipolar line that are defined by the epipole and a so-called virtual infinity point.

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The Chiral Domain of a Camera Arrangement

Cited by 2 publications

References 0 publications

Nonlinear Algebra and Applications

Nonlinear Algebra and Applications

Segmenting Epipolar Line

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