Journal of Mathematical Imaging and Vision

, Volume 39, Issue 1, pp 75–85 | Cite as

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

  • Luis Alvarez
  • Luis GómezEmail author
  • J. Rafael Sendra


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.


Camera calibration Distortion model Depth dependence 3D scenarios 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Departamento de Informática y SistemasUniversidad de Las Palmas de Gran CanariaLas PalmasSpain
  2. 2.Departamento de Ingeniería Electrónica y AutomáticaUniversidad de Las Palmas de Gran CanariaLas PalmasSpain
  3. 3.Departamento de MatemáticasUniversidad de AlcaláMadridSpain

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