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Remote Sensing
Volume 15
Issue 22
10.3390/rs15225283
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Article

A Bi-Radial Model for Lens Distortion Correction of Low-Cost UAV Cameras

by
Frank Liebold
*,
David Mader
,
Hannes Sardemann
,
Anette Eltner
and
Hans-Gerd Maas
Institute of Photogrammetry and Remote Sensing, Technische Universität Dresden, 01062 Dresden, Germany
*
Author to whom correspondence should be addressed.
Remote Sens. 2023, 15(22), 5283; https://doi.org/10.3390/rs15225283
Submission received: 31 August 2023 / Revised: 27 October 2023 / Accepted: 6 November 2023 / Published: 8 November 2023
(This article belongs to the Special Issue Photogrammetry—the Science of Precise Measurements from Images: A Themed Issue in Honour of Professor Emeritus Armin Grün in Anticipation of His 80th Birthday)
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Abstract

Recently developed cameras in the low-cost sector exhibit lens distortion patterns that cannot be handled well with established models of radial lens distortion. This study presents an approach that divides the image sensor and distortion modeling into two concentric zones for the application of an extended radial lens distortion model. The mathematical model is explained in detail and it was validated on image data from a DJI Mavic Pro UAV camera. First, the special distortion pattern of the camera was examined by decomposing and analyzing the residuals. Then, a novel bi-radial model was introduced to describe the pattern. Eventually, the new model was integrated in a bundle adjustment software package. Practical tests revealed that the residuals of the bundle adjustment could be reduced by 63% with respect to the standard Brown model. On the basis of external reference measurements, an overall reduction in the residual errors of 40% was shown.
Keywords: camera calibration; geometric modeling; photogrammetry; bundle adjustment; interior orientation camera calibration; geometric modeling; photogrammetry; bundle adjustment; interior orientation

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MDPI and ACS Style

Liebold, F.; Mader, D.; Sardemann, H.; Eltner, A.; Maas, H.-G. A Bi-Radial Model for Lens Distortion Correction of Low-Cost UAV Cameras. Remote Sens. 2023, 15, 5283. https://doi.org/10.3390/rs15225283

AMA Style

Liebold F, Mader D, Sardemann H, Eltner A, Maas H-G. A Bi-Radial Model for Lens Distortion Correction of Low-Cost UAV Cameras. Remote Sensing. 2023; 15(22):5283. https://doi.org/10.3390/rs15225283

Chicago/Turabian Style

Liebold, Frank, David Mader, Hannes Sardemann, Anette Eltner, and Hans-Gerd Maas. 2023. "A Bi-Radial Model for Lens Distortion Correction of Low-Cost UAV Cameras" Remote Sensing 15, no. 22: 5283. https://doi.org/10.3390/rs15225283

APA Style

Liebold, F., Mader, D., Sardemann, H., Eltner, A., & Maas, H.-G. (2023). A Bi-Radial Model for Lens Distortion Correction of Low-Cost UAV Cameras. Remote Sensing, 15(22), 5283. https://doi.org/10.3390/rs15225283

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