DOI QR코드

DOI QR Code

Dynamic Modulation Transfer Function Analysis of Images Blurred by Sinusoidal Vibration

  • Du, Yanlu (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science) ;
  • Ding, Yalin (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science) ;
  • Xu, Yongsen (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science) ;
  • Sun, Chongshang (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science)
  • Received : 2016.08.25
  • Accepted : 2016.10.17
  • Published : 2016.12.25

Abstract

The dynamic modulation transfer function (MTF) for image degradation caused by sinusoidal vibration is formulated based on a Bessel function of the first kind. The presented method makes it possible to obtain an analytical MTF expression derived for arbitrary frequency sinusoidal vibration. The error obtained by the use of finite order sum approximations instead of infinite sums is investigated in detail. Dynamic MTF exhibits a stronger random behavior for low frequency vibration than high frequency vibration. The calculated MTFs agree well with the measured MTFs with the slant edge method in imaging experiments. With the proposed formula, allowable amplitudes of any frequency vibration are easily calculated. This is practical for the analysis and design of the line-of-sight stabilization system in the remote sensing camera.

Keywords

References

  1. S. G. Wang, B. Q. Guan, G. B. Wang, and Q. Li, "Measurement of sinusoidal vibration from motion blurred images," Pattern Recogn. Lett. 28, 1029-1040 (2007). https://doi.org/10.1016/j.patrec.2006.12.019
  2. R. Vollmerhausen, M. H. Friedman, J. Reynolds, and S. Burks, "Modeling the blur associated with vibration and motion," Proc SPIE 6543, 65430U (2007).
  3. P. Xu, Q. Hao, C. N. Huang, and Y. T. Wang, "Degradation of modulation transfer function in push-broom camera caused by mechanical vibration," Opt. Laser Technol. 35, 547-552 (2003). https://doi.org/10.1016/S0030-3992(03)00084-7
  4. J. H. Lee, Y. S. Jung, S. Y. Ryoo, and Y. J. Kim, "Imaging performance analysis of an EO/IR dual band airborne camera," J. Opt. Soc. Korea 15, 174-181 (2011). https://doi.org/10.3807/JOSK.2011.15.2.174
  5. D. Wulich and N. S. Kopeika, "Image resolution limits resulting from mechanical vibrations," Opt. Eng. 26, 529-533 (1987).
  6. O. Hadar, M. Fisher, and N. S. Kopeika, "Image resolution limits resulting from mechanical vibrations. Part III: numerical calculation of modulation transfer function," Opt. Eng. 31, 581-589 (1992). https://doi.org/10.1117/12.56084
  7. O. Hadar, I. Dror, and N. S. Kopeika, "Image resolution limits resulting from mechanical vibrations. Part IV: real-time numerical calculation of optical transfer functions and experimental verification," Opt. Eng. 33, 566-578 (1994). https://doi.org/10.1117/12.153186
  8. A. Friedenberg, "Simulation of the MTF due to low-frequency and correlated vibrations," J. Mod. Opt. 55, 401-407 (2008). https://doi.org/10.1080/09500340701453421
  9. A. Stern and N. S. Kopeika, "Analytical method to calculate optical transfer functions for image motion and vibrations using moments," J. Opt. Soc. Am. A 14, 388-396 (1997). https://doi.org/10.1364/JOSAA.14.000388
  10. Q. Deng, H. J. Feng, Z. H. Xu, Q. Li, Y. T. Chen, and W. D. Dong, "Study on MTF of remote sensing imaging under arbitrary known vibration," Proc SPIE 8420, 84200W (2012).
  11. J. Y. Liao and X. D. Gao, "Dynamic MTF analysis and calculation of aerial camera," Proc SPIE 7658, 765819 (2010).
  12. Photography-Electronic Still Picture Cameras-Resolution Measurements, ISO Standard 12233: 2000.
  13. S. Najafi and K. Madanipour, "Measurement of the modulation transfer function of a charge-coupled device array by the combination of the self-imaging effect and slanted edge method," Appl. Opt. 52, 4724-4727 (2013). https://doi.org/10.1364/AO.52.004724
  14. C. S. Sun, Y. L. Ding, D. J. Wang, and D. P. Tian, "Backscanning step and stare imaging system with high frame rate and wide coverage," Appl. Opt. 54, 4960-4965 (2015). https://doi.org/10.1364/AO.54.004960
  15. H. Li, C. X. Yan, and J. B. Shao, "Measurement of the modulation transfer function of infrared imaging system by modified slant edge method," J. Opt. Soc. Korea 20, 381-388 (2016). https://doi.org/10.3807/JOSK.2016.20.3.381
  16. K. Masaoka, T. Yamashita, Y. Nishida, and M. Sugawara, "Modified slanted-edge method and multidirectional modulation transfer function estimation," Opt. Express 22, 6040-6046 (2014). https://doi.org/10.1364/OE.22.006040

Cited by

  1. Analysis and reduction of the TDI CCD charge transfer image shift vol.56, pp.33, 2017, https://doi.org/10.1364/AO.56.009233