International Journal of Computer Vision

, Volume 121, Issue 3, pp 391–402 | Cite as

2D Sub-pixel Point Spread Function Measurement Using a Virtual Point-Like Source

  • Jurij JemecEmail author
  • Franjo Pernuš
  • Boštjan Likar
  • Miran Bürmen


2D point spread function (PSF) is a commonly used measure to assess the quality of various imaging systems. The most convenient way of 2D PSF measurement is taking an image of a light source with its size well below the diffraction limit of the imaging system. In this paper, we present a novel method that allows formation of such a virtual point-like source by a simple setup with a convex spherical mirror and a collimated light source. Sub-pixel 2D PSF measurements are possible by displacing the setup in sub-pixel steps. Comparison of the 1D modulation transfer functions estimated by the proposed method and the International Organization for Standardization (ISO) 12233 standard shows that the proposed method presents a viable alternative to the ISO 12233 standard. Furthermore, future work on calibration patterns and algorithms for sub-pixel 2D PSF estimation from a single image could benefit from the presented method, which provides ground truth sub-pixel 2D PSF measurements for real imaging systems.


Virtual point-like source Two-dimensional sub-pixel point spread function 2D PSF Modulation transfer function Imaging system quality assessment ISO 12233 



This research was supported by the Slovenian Research Agency, under Grants J7-6781, J2-5473, L2-5472 and L2-4072.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Jurij Jemec
    • 1
    Email author
  • Franjo Pernuš
    • 1
    • 2
  • Boštjan Likar
    • 1
    • 2
  • Miran Bürmen
    • 1
  1. 1.Laboratory of Imaging Technologies, Faculty of Electrical EngineeringUniversity of LjubljanaLjubljanaSlovenia
  2. 2.SENSUM, Computer Vision SystemsLjubljanaSlovenia

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