An Accurate 1D Camera Calibration Based on Weighted Similar-Invariant Linear Algorithm

  • Lixia Lin
  • Lijun WuEmail author
  • Songlin Lai
  • Zhicong Chen
  • Peijie Lin
  • Zhenhui Wu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11909)


In recent years, researchers around the world have been researching and improving the technique of 1D calibration of cameras. The previous work has been primarily focused on reducing the motion constraints of one-dimensional calibration objects, however the accuracy of the existing methods still needs to be improved when random noise is introduces. In order to improve the accuracy of the one-dimensional calibration of the camera, in this paper, we propose a new calibration method by combining a weighted similar invariant linear algorithm and an improved nonlinear optimization algorithm. Specifically, we use the weighted similar invariant linear algorithm to obtain the camera parameters as the initial calibration parameters, and then optimize the parameters by using improved nonlinear algorithm. Finally, in the case of introducing random noise, the results of computer simulations and laboratory experiments show that when the noise level reaches 2 pixels, the parameter error of this method is mostly reduced to 0.2% compared with other methods, which verifies the feasibility of our proposed method.


Camera calibration Linear algorithm Nonlinear optimization 1D calibration objects 



This work is financially supported in parts by the Fujian Provincial Department of Science and Technology of China (Grant No. 2019H0006 and 2018J01774), the National Natural Science Foundation of China (Grant No. 61601127), and the Foundation of Fujian Provincial Department of Industry and Information Technology of China (Grant No. 82318075).


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.College of Physics and Information EngineeringFuzhou UniversityFuzhouChina
  2. 2.State Grid Fuzhou Electric Power Supply CompanyFuzhouChina

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