Numerical Solution for Radial Distortion Rectification in Optical Systems

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Accurate homography estimation is a crucial step for many computer vision applications. Nevertheless, nonlinear optical camera imaging effects can introduce radial distortion, making unfeasible the pinhole model for homography estimation. In this paper, an algorithm to rectify radially distorted images using the Maple software is proposed. First, the effect of radial distortion is modeled and analyzed. Next, an inverse distortion model is developed. The proposed algorithm allows us to estimate both the homography matrix and the distortion parameters by processing images of a calibration target using the Gauss-Newton approach. Successful estimation of homographies and distortion parameters to correct real-world images is reported.

Original languageEnglish
Title of host publicationMaple in Mathematics Education and Research - 4th Maple Conference, MC 2020, Revised Selected Papers
EditorsRobert M. Corless, Jürgen Gerhard, Ilias S. Kotsireas
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages15
ISBN (Print)9783030816971
StatePublished - 2021
Event4th Maple Conference, MC 2020 - Waterloo, Canada
Duration: 2 Nov 20206 Nov 2020

Publication series

NameCommunications in Computer and Information Science
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937


Conference4th Maple Conference, MC 2020


  • Distortion parameters estimation
  • Homography estimation
  • Radial lens distortion


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