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Open AccessArticle

An Exact Formula for Calculating Inverse Radial Lens Distortions

by Pierre Drap *,† and Julien Lefèvre
Aix-Marseille Université, CNRS, ENSAM, Université De Toulon, LSIS UMR 7296, Domaine Universitaire de Saint-Jérôme, Bâtiment Polytech, Avenue Escadrille Normandie-Niemen, Marseille 13397, France
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Manuela Vieira
Sensors 2016, 16(6), 807; https://doi.org/10.3390/s16060807
Received: 4 March 2016 / Revised: 4 May 2016 / Accepted: 24 May 2016 / Published: 1 June 2016
(This article belongs to the Section Physical Sensors)
This article presents a new approach to calculating the inverse of radial distortions. The method presented here provides a model of reverse radial distortion, currently modeled by a polynomial expression, that proposes another polynomial expression where the new coefficients are a function of the original ones. After describing the state of the art, the proposed method is developed. It is based on a formal calculus involving a power series used to deduce a recursive formula for the new coefficients. We present several implementations of this method and describe the experiments conducted to assess the validity of the new approach. Such an approach, non-iterative, using another polynomial expression, able to be deduced from the first one, can actually be interesting in terms of performance, reuse of existing software, or bridging between different existing software tools that do not consider distortion from the same point of view. View Full-Text
Keywords: radial distortion; distortion correction; power series radial distortion; distortion correction; power series
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Drap, P.; Lefèvre, J. An Exact Formula for Calculating Inverse Radial Lens Distortions. Sensors 2016, 16, 807.

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