Camera calibration based on paraxial raytracing

C. H. Lu, Psang-Dain Lin, C. K. Sung

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Traditional camera calibration is based on the pinhole model, which is an approximation algorithm using untrue geometrical assumptions and giving a single lumped result for the multiple optical elements in a camera. To provide an alternative method of camera calibration, we extend the traditional 2×2 matrix-based paraxial raytracing method to 6×6 in order to trace paraxial rays by using the first-order Taylor series expansion of Snell's laws. Then we establish the geometric relationship between images and objects. Compared with the Snell's Law camera calibration model of our previous work, the paraxial model offers explicit analytical sensitivity analysis for the mathematical manipulation of problematical conditions. Compared with the existing pinhole model, the proposed method, in addition to five intrinsic and six extrinsic parameters, gives the position parameters of each optical element of the camera system.

Original languageEnglish
Pages (from-to)307-317
Number of pages11
JournalApplied Physics B: Lasers and Optics
Volume94
Issue number2
DOIs
Publication statusPublished - 2009 Feb 1

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cameras
pinholes
Taylor series
sensitivity analysis
series expansion
manipulators
rays
matrices
approximation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)

Cite this

Lu, C. H. ; Lin, Psang-Dain ; Sung, C. K. / Camera calibration based on paraxial raytracing. In: Applied Physics B: Lasers and Optics. 2009 ; Vol. 94, No. 2. pp. 307-317.
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Camera calibration based on paraxial raytracing. / Lu, C. H.; Lin, Psang-Dain; Sung, C. K.

In: Applied Physics B: Lasers and Optics, Vol. 94, No. 2, 01.02.2009, p. 307-317.

Research output: Contribution to journalArticle

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