TY - GEN
T1 - Numerical Solution for Radial Distortion Rectification in Optical Systems
AU - Rios-Orellana, Obed I.
AU - Juarez-Salazar, Rigoberto
AU - Diaz-Ramirez, Victor H.
N1 - Funding Information:
This work was supported by the Consejo Nacional de Ciencia y Tecnolog?a (CONA-CYT) by the projects C?tedras-880 and A1-S-28112. Authors thank the support of Instituto Polit?cnico Nacional by the project SIP-20210845.
Publisher Copyright:
© 2021, Springer Nature Switzerland AG.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - Distortion parameters estimation
KW - Homography estimation
KW - Radial lens distortion
UR - http://www.scopus.com/inward/record.url?scp=85113559841&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-81698-8_21
DO - 10.1007/978-3-030-81698-8_21
M3 - Contribución a la conferencia
AN - SCOPUS:85113559841
SN - 9783030816971
T3 - Communications in Computer and Information Science
SP - 319
EP - 333
BT - Maple in Mathematics Education and Research - 4th Maple Conference, MC 2020, Revised Selected Papers
A2 - Corless, Robert M.
A2 - Gerhard, Jürgen
A2 - Kotsireas, Ilias S.
PB - Springer Science and Business Media Deutschland GmbH
T2 - 4th Maple Conference, MC 2020
Y2 - 2 November 2020 through 6 November 2020
ER -