Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/46189
Title: Zoom dependent lens distortion mathematical models
Authors: Alvarez, Luis 
Gómez, Luis 
Henríquez, Pedro
UNESCO Clasification: 33 Ciencias tecnológicas
120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
120326 Simulación
Keywords: 3D scenarios
Camera calibration
Distortion model
Radial distortion
Zoom dependent model
Issue Date: 2012
Project: Modelización Matemática de Los Procesos de Calibración de Cámaras de Video. 
Journal: Journal of Mathematical Imaging and Vision 
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.
URI: http://hdl.handle.net/10553/46189
ISSN: 0924-9907
DOI: 10.1007/s10851-012-0339-x
Source: Journal of Mathematical Imaging and Vision [ISSN 0924-9907], v. 44 (3), p. 480-490
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