[IPOL discuss] [IPOL announce] new article: An Iterative Optimization Algorithm for Lens Distortion Correction Using Two-Parameter Models

[announcements about the IPOL journal]

A new article is available in IPOL: http://www.ipol.im/pub/art/2016/130/

Daniel Santana-Cedrés, Luis Gómez, Miguel Alemán-Flores, Agustín 
Salgado, Julio Esclarín, Luis Mazorra, and Luis Álvarez,
An Iterative Optimization Algorithm for Lens Distortion Correction Using 
Two-Parameter Models,
Image Processing On Line, 6 (2016), pp. 326–365.
https://doi.org/10.5201/ipol.2016.130

Abstract
We present a method for the automatic estimation of two-parameter radial 
distortion models, considering polynomial as well as division models. 
The method first detects the longest distorted lines within the image by 
applying the Hough transform enriched with a radial distortion 
parameter. From these lines, the first distortion parameter is 
estimated, then we initialize the second distortion parameter to zero 
and the two-parameter model is embedded into an iterative nonlinear 
optimization process to improve the estimation. This optimization aims 
at reducing the distance from the edge points to the lines, adjusting 
two distortion parameters as well as the coordinates of the center of 
distortion. Furthermore, this allows detecting more points belonging to 
the distorted lines, so that the Hough transform is iteratively repeated 
to extract a better set of lines until no improvement is achieved. We 
present some experiments on real images with significant distortion to 
show the ability of the proposed approach to automatically correct this 
type of distortion as well as a comparison between the polynomial and 
division models.


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