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Poster De Conférence Année : 2014

Stable radial distortion calibration by polynomial matrix inequalities programming

Résumé

Polynomial and rational functions are the number one choice when it comes to modeling of radial distortion of lenses. However, several extrapolation and numerical issues may arise while using these functions that have not been covered by the literature much so far. In this paper, we identify these problems and show how to deal with them by enforcing nonnegativity of certain polynomials. Further, we show how to model these nonnegativities using polynomial matrix inequalities (PMI) and how to estimate the radial distortion parameters subject to PMI constraints using semidefinite programming (SDP). Finally, we suggest several approaches on how to incorporate the proposed method into the overall camera calibration procedure.
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Dates et versions

hal-01066168 , version 1 (19-09-2014)

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Jan Heller, Didier Henrion, Tomas Pajdla. Stable radial distortion calibration by polynomial matrix inequalities programming. Asian Conference on Computer Vision (ACCV°, Nov 2014, Singapour, Singapore. ⟨hal-01066168⟩
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