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Zoom Dependent Lens Distortion Mathematical Models

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Abstract

We propose new mathematical models to study the variation of lens distortion models when modifying zoom setting in the case of zoom lenses. The new models are based on a polynomial approximation to account for the variation of the radial distortion parameters through the range of zoom lens settings and, on the minimization of a global error energy measuring the distance between sequences of distorted aligned points and straight lines after lens distortion correction. To validate the performance of the method we present experimental results on calibration pattern images and on sport event scenarios using broadcast video cameras. We obtain, experimentally, that using just a second order polynomial approximation of lens distortion parameter zoom variation, the quality of lens distortion correction is as good as the one obtained individually frame by frame using independent lens distortion model for each frame.

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Acknowledgements

This research has partially been supported by the MICINN project reference MTM2010-17615 (Ministerio de Ciencia e Innovación. Spain). We acknowledge MEDIAPRODUCCION S.L. company who has kindly provided to us with the real soccer video sequence we use in the numerical experiments.

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Authors and Affiliations

  1. CTIM, Departamento de Informática y Sistemas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017, Las Palmas, Spain

    Luis Alvarez & Pedro Henríquez

  2. CTIM, Departamento de Ingeniería Electrónica y Automática, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017, Las Palmas, Spain

    Luis Gómez

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  1. Luis Alvarez
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  3. Pedro Henríquez
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Correspondence to Luis Gómez.

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Alvarez, L., Gómez, L. & Henríquez, P. Zoom Dependent Lens Distortion Mathematical Models. J Math Imaging Vis 44, 480–490 (2012). https://doi.org/10.1007/s10851-012-0339-x

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