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Accurate Depth Dependent Lens Distortion Models: An Application to Planar View Scenarios

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Abstract

In order to calibrate cameras in an accurate manner, lens distortion models have to be included in the calibration procedure. Usually, the lens distortion models used in camera calibration depend on radial functions of image pixel coordinates. Such models are well-known, simple and can be estimated using just image information. However, these models do not take into account an important physical constraint of lens distortion phenomena, namely: the amount of lens distortion induced in an image point depends on the scene point depth with respect to the camera projection plane. In this paper we propose a new accurate depth dependent lens distortion model. To validate this approach, we apply the new lens distortion model to camera calibration in planar view scenarios (that is 3D scenarios where the objects of interest lie on a plane). We present promising experimental results on planar pattern images and on sport event scenarios. Nevertheless, although we emphasize the feasibility of the method for planar view scenarios, the proposed model is valid in general and can be used in any scenario where the point depth can be estimated.

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Authors and Affiliations

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

    Luis Alvarez

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

    Luis Gómez

  3. Departamento de Matemáticas, Universidad de Alcalá, Alcalá de Henares, 28871, Madrid, Spain

    J. Rafael Sendra

Authors
  1. Luis Alvarez
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  2. Luis Gómez
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  3. J. Rafael Sendra
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Correspondence to Luis Gómez.

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Alvarez, L., Gómez, L. & Sendra, J.R. Accurate Depth Dependent Lens Distortion Models: An Application to Planar View Scenarios. J Math Imaging Vis 39, 75–85 (2011). https://doi.org/10.1007/s10851-010-0226-2

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