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  3D to 2D bijection for spherical objects under equidistant fisheye projection

Ahmad, A., Xavier, J., Santos-Victor, J., & Lima, P. (2014). 3D to 2D bijection for spherical objects under equidistant fisheye projection. Computer Vision and Image Understanding, 124, 172-183. doi:10.1016/j.cviu.2014.04.004.

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Ahmad, A1, Autor           
Xavier, J, Autor
Santos-Victor, J, Autor
Lima, P, Autor
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1Institute for Systems and Robotics, Instituto Superior Técnico, Lisboa, Portugal, ou_persistent22              

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 Zusammenfassung: The core problem addressed in this article is the 3D position detection of a spherical object of known-radius in a single image frame, obtained by a dioptric vision system consisting of only one fisheye lens camera that follows equidistant projection model. The central contribution is a bijection principle between a known-radius spherical object’s 3D world position and its 2D projected image curve, that we prove, thus establishing that for every possible 3D world position of the spherical object, there exists a unique curve on the image plane if the object is projected through a fisheye lens that follows equidistant projection model. Additionally, we present a setup for the experimental verification of the principle’s correctness. In previously published works we have applied this principle to detect and subsequently track a known-radius spherical object.

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 Datum: 2014-08
 Publikationsstatus: Erschienen
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 Identifikatoren: DOI: 10.1016/j.cviu.2014.04.004
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Titel: Computer Vision and Image Understanding
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 124 Artikelnummer: - Start- / Endseite: 172 - 183 Identifikator: -