Skip to main content
Erschienen in: International Journal of Computer Vision 3/2017

02.09.2016

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

verfasst von: Jurij Jemec, Franjo Pernuš, Boštjan Likar, Miran Bürmen

Erschienen in: International Journal of Computer Vision | Ausgabe 3/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

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.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Arnison, M. R., Morgan-Mar, D. P., Deller, C. A., Fletcher, P. A., & Larkin, K. G. (2011). Measurement of the lens optical transfer function using a tartan pattern. Applied Optics, 50(15), 2158–2169.CrossRef Arnison, M. R., Morgan-Mar, D. P., Deller, C. A., Fletcher, P. A., & Larkin, K. G. (2011). Measurement of the lens optical transfer function using a tartan pattern. Applied Optics, 50(15), 2158–2169.CrossRef
Zurück zum Zitat Bass, M., & Mahajan, V. N. (2010). Handbook of optics, Vol. I: Geometrical and physical optics, polarized light, components and instruments. New York: McGraw-Hill. Bass, M., & Mahajan, V. N. (2010). Handbook of optics, Vol. I: Geometrical and physical optics, polarized light, components and instruments. New York: McGraw-Hill.
Zurück zum Zitat Boone, J. M., & Seibert, J. A. (1994). An analytical edge spread function model for computer fitting and subsequent calculation of the LSF and MTF. Medical Physics, 21(10), 1541–1545.CrossRef Boone, J. M., & Seibert, J. A. (1994). An analytical edge spread function model for computer fitting and subsequent calculation of the LSF and MTF. Medical Physics, 21(10), 1541–1545.CrossRef
Zurück zum Zitat Boreman, G. D., & Yang, S. (1995). Modulation transfer function measurement using three-and four-bar targets. Applied Optics, 34(34), 8050–8052.CrossRef Boreman, G. D., & Yang, S. (1995). Modulation transfer function measurement using three-and four-bar targets. Applied Optics, 34(34), 8050–8052.CrossRef
Zurück zum Zitat Burns, P. D. (2000). Slanted-edge MTF for digital camera and scanner analysis. In IS&T PICS Conference (pp. 135–138). Burns, P. D. (2000). Slanted-edge MTF for digital camera and scanner analysis. In IS&T PICS Conference (pp. 135–138).
Zurück zum Zitat Burns, P. D., & Williams, D. (2002). Refined slanted-edge measurement for practical camera and scanner testing. In IS&T PICS conference (pp. 191–195). Burns, P. D., & Williams, D. (2002). Refined slanted-edge measurement for practical camera and scanner testing. In IS&T PICS conference (pp. 191–195).
Zurück zum Zitat Claxton, C. D., & Staunton, R. C. (2008). Measurement of the point-spread function of a noisy imaging system. JOSA A, 25(1), 159–170.CrossRef Claxton, C. D., & Staunton, R. C. (2008). Measurement of the point-spread function of a noisy imaging system. JOSA A, 25(1), 159–170.CrossRef
Zurück zum Zitat Cracknell, A. (1998). Review article synergy in remote sensing-what’s in a pixel? International Journal of Remote Sensing, 19(11), 2025–2047.CrossRef Cracknell, A. (1998). Review article synergy in remote sensing-what’s in a pixel? International Journal of Remote Sensing, 19(11), 2025–2047.CrossRef
Zurück zum Zitat Delbracio, M., Almansa, A., Morel, J. M., & Musé, P. (2012a). Subpixel point spread function estimation from two photographs at different distances. SIAM Journal on Imaging Sciences, 5(4), 1234–1260.MathSciNetCrossRefMATH Delbracio, M., Almansa, A., Morel, J. M., & Musé, P. (2012a). Subpixel point spread function estimation from two photographs at different distances. SIAM Journal on Imaging Sciences, 5(4), 1234–1260.MathSciNetCrossRefMATH
Zurück zum Zitat Debracio, M., & Musé, P. (2012b). Non-parametric sub-pixel local point spread function estimation. Image Processing on Line, 2, 8–21.CrossRef Debracio, M., & Musé, P. (2012b). Non-parametric sub-pixel local point spread function estimation. Image Processing on Line, 2, 8–21.CrossRef
Zurück zum Zitat Delbracio, M., Musé, P., Almansa, A., & Morel, J. M. (2012c). The non-parametric sub-pixel local point spread function estimation is a well posed problem. International Journal of Computer Vision, 96(2), 175–194.MathSciNetCrossRefMATH Delbracio, M., Musé, P., Almansa, A., & Morel, J. M. (2012c). The non-parametric sub-pixel local point spread function estimation is a well posed problem. International Journal of Computer Vision, 96(2), 175–194.MathSciNetCrossRefMATH
Zurück zum Zitat Du, H., & Voss, K. J. (2004). Effects of point-spread function on calibration and radiometric accuracy of CCD camera. Applied Optics, 43(3), 665–670.CrossRef Du, H., & Voss, K. J. (2004). Effects of point-spread function on calibration and radiometric accuracy of CCD camera. Applied Optics, 43(3), 665–670.CrossRef
Zurück zum Zitat Fetterly, K. A., Hangiandreou, N. J., Schueler, B. A., & Ritenour, E. R. (2002). Measurement of the presampled two-dimensional modulation transfer function of digital imaging systems. Medical Physics, 29(5), 913–921.CrossRef Fetterly, K. A., Hangiandreou, N. J., Schueler, B. A., & Ritenour, E. R. (2002). Measurement of the presampled two-dimensional modulation transfer function of digital imaging systems. Medical Physics, 29(5), 913–921.CrossRef
Zurück zum Zitat Frenkel, A., Sartor, M., & Wlodawski, M. (1997). Photon-noise-limited operation of intensified CCD cameras. Applied Optics, 36(22), 5288–5297.CrossRef Frenkel, A., Sartor, M., & Wlodawski, M. (1997). Photon-noise-limited operation of intensified CCD cameras. Applied Optics, 36(22), 5288–5297.CrossRef
Zurück zum Zitat Guenther, B. (1990). Modern Optics. Hoboken, NJ: Wiley.MATH Guenther, B. (1990). Modern Optics. Hoboken, NJ: Wiley.MATH
Zurück zum Zitat Joshi, N., Szeliski, R., Kriegman, D. J. (2008). PSF estimation using sharp edge prediction. In IEEE computer society conference on computer vision and pattern recognition (CVPR 2008) (pp. 1–8). Joshi, N., Szeliski, R., Kriegman, D. J. (2008). PSF estimation using sharp edge prediction. In IEEE computer society conference on computer vision and pattern recognition (CVPR 2008) (pp. 1–8).
Zurück zum Zitat Katrašnik, J., Pernuš, F., & Likar, B. (2013). Radiometric calibration and noise estimation of acousto-optic tunable filter hyperspectral imaging systems. Applied Optics, 52(15), 3526–3537.CrossRef Katrašnik, J., Pernuš, F., & Likar, B. (2013). Radiometric calibration and noise estimation of acousto-optic tunable filter hyperspectral imaging systems. Applied Optics, 52(15), 3526–3537.CrossRef
Zurück zum Zitat Kee, E., Paris, S., Chen, S., Wang, J. (2011). Modeling and removing spatially-varying optical blur. In 2011 IEEE international conference on computational photography (ICCP) (pp. 1–8). Kee, E., Paris, S., Chen, S., Wang, J. (2011). Modeling and removing spatially-varying optical blur. In 2011 IEEE international conference on computational photography (ICCP) (pp. 1–8).
Zurück zum Zitat Kim, K. S. (1994). Accurate determination of subpixel resolution point spread function from imprecise measurement data. In SPIE’s international symposium on optical engineering and photonics in aerospace sensing, international society for optics and photonics (pp. 185–192). Kim, K. S. (1994). Accurate determination of subpixel resolution point spread function from imprecise measurement data. In SPIE’s international symposium on optical engineering and photonics in aerospace sensing, international society for optics and photonics (pp. 185–192).
Zurück zum Zitat Lamberts, R., Higgins, G., & Wolfe, R. (1958). Measurement and analysis of the distribution of energy in optical images. JOSA, 48(7), 487–487.CrossRef Lamberts, R., Higgins, G., & Wolfe, R. (1958). Measurement and analysis of the distribution of energy in optical images. JOSA, 48(7), 487–487.CrossRef
Zurück zum Zitat Lehr, J., Sibarita, J. B., & Chassery, J. M. (1998). Image restoration in X-ray microscopy: PSF determination and biological applications. IEEE Transactions onImage Processing, 7(2), 258–263.CrossRef Lehr, J., Sibarita, J. B., & Chassery, J. M. (1998). Image restoration in X-ray microscopy: PSF determination and biological applications. IEEE Transactions onImage Processing, 7(2), 258–263.CrossRef
Zurück zum Zitat Lenhard, K., Baumgartner, A., Gege, P., Nevas, S., Nowy, S., & Sperling, A. (2015). Impact of improved calibration of a NEO HySpex VNIR-1600 sensor on remote sensing of water depth. IEEE Transactions on Geoscience and Remote Sensing, 53(11), 6085–6098.CrossRef Lenhard, K., Baumgartner, A., Gege, P., Nevas, S., Nowy, S., & Sperling, A. (2015). Impact of improved calibration of a NEO HySpex VNIR-1600 sensor on remote sensing of water depth. IEEE Transactions on Geoscience and Remote Sensing, 53(11), 6085–6098.CrossRef
Zurück zum Zitat Markham, B. L. (1985). The Landsat sensors’ spatial responses. IEEE Transactions on Geoscience and Remote Sensing, 6, 864–875.CrossRef Markham, B. L. (1985). The Landsat sensors’ spatial responses. IEEE Transactions on Geoscience and Remote Sensing, 6, 864–875.CrossRef
Zurück zum Zitat Milanfar, P. (2010). Super-resolution imaging. Boca Raton: CRC Press. Milanfar, P. (2010). Super-resolution imaging. Boca Raton: CRC Press.
Zurück zum Zitat Mosleh, A., Green, P., Onzon, E., Begin, I., & Pierre Langlois, J. (2015). Camera intrinsic blur kernel estimation: A reliable framework. In Proceedings of the IEEE conference on computer vision and pattern recognition (pp. 4961–4968). Mosleh, A., Green, P., Onzon, E., Begin, I., & Pierre Langlois, J. (2015). Camera intrinsic blur kernel estimation: A reliable framework. In Proceedings of the IEEE conference on computer vision and pattern recognition (pp. 4961–4968).
Zurück zum Zitat Navas-Moya, F. A., Nieves, J. L., Valero, E. M., & Garrote, E. (2013). Measurement of the optical transfer function using a white-dot pattern presented on a liquid-crystal display. Journal of the European Optical Society, 8 Navas-Moya, F. A., Nieves, J. L., Valero, E. M., & Garrote, E. (2013). Measurement of the optical transfer function using a white-dot pattern presented on a liquid-crystal display. Journal of the European Optical Society, 8
Zurück zum Zitat Park, S. C., Park, M. K., & Kang, M. G. (2003). Super-resolution image reconstruction: A technical overview. Signal processing magazine, IEEE, 20(3), 21–36. Park, S. C., Park, M. K., & Kang, M. G. (2003). Super-resolution image reconstruction: A technical overview. Signal processing magazine, IEEE, 20(3), 21–36.
Zurück zum Zitat Quabis, S., Dorn, R., Eberler, M., Glöckl, O., & Leuchs, G. (2001). The focus of light-theoretical calculation and experimental tomographic reconstruction. Applied Physics B, 72(1), 109–113 .CrossRef Quabis, S., Dorn, R., Eberler, M., Glöckl, O., & Leuchs, G. (2001). The focus of light-theoretical calculation and experimental tomographic reconstruction. Applied Physics B, 72(1), 109–113 .CrossRef
Zurück zum Zitat Reichenbach, S. E., Park, S. K., & Narayanswamy, R. (1991). Characterizing digital image acquisition devices. Optical Engineering, 30(2), 170–177.CrossRef Reichenbach, S. E., Park, S. K., & Narayanswamy, R. (1991). Characterizing digital image acquisition devices. Optical Engineering, 30(2), 170–177.CrossRef
Zurück zum Zitat Ryu, Z. M. (1991). Measurement of point spread function of thermal imager. Orlando’91 (pp. 469–474). Orlando: International Society for Optics and Photonics. Ryu, Z. M. (1991). Measurement of point spread function of thermal imager. Orlando’91 (pp. 469–474). Orlando: International Society for Optics and Photonics.
Zurück zum Zitat Sambridge, M., Braun, J., & McQueen, H. (1995). Geophysical parametrization and interpolation of irregular data using natural neighbours. Geophysical Journal International, 122(3), 837–857.CrossRef Sambridge, M., Braun, J., & McQueen, H. (1995). Geophysical parametrization and interpolation of irregular data using natural neighbours. Geophysical Journal International, 122(3), 837–857.CrossRef
Zurück zum Zitat Samei, E., Flynn, M. J., & Reimann, D. A. (1998). A method for measuring the presampled MTF of digital radiographic systems using an edge test device. Medical Physics, 25(1), 102–113.CrossRef Samei, E., Flynn, M. J., & Reimann, D. A. (1998). A method for measuring the presampled MTF of digital radiographic systems using an edge test device. Medical Physics, 25(1), 102–113.CrossRef
Zurück zum Zitat Shih, Y., Guenter, B., & Joshi, N. (2012). Image enhancement using calibrated lens simulations. In Computer Vision–ECCV 2012 (pp. 42–56). Berlin: Springer. Shih, Y., Guenter, B., & Joshi, N. (2012). Image enhancement using calibrated lens simulations. In Computer Vision–ECCV 2012 (pp. 42–56). Berlin: Springer.
Zurück zum Zitat Szeliski, R. (2010). Computer vision: Algorithms and applications. Berlin: Springer.MATH Szeliski, R. (2010). Computer vision: Algorithms and applications. Berlin: Springer.MATH
Zurück zum Zitat Takenaga, T., Katsuragawa, S., Goto, M., Hatemura, M., Uchiyama, Y., & Shiraishi, J. (2015). Modulation transfer function measurement of CT images by use of a circular edge method with a logistic curve-fitting technique. Radiological Physics and Technology, 8(1), 53–59.CrossRef Takenaga, T., Katsuragawa, S., Goto, M., Hatemura, M., Uchiyama, Y., & Shiraishi, J. (2015). Modulation transfer function measurement of CT images by use of a circular edge method with a logistic curve-fitting technique. Radiological Physics and Technology, 8(1), 53–59.CrossRef
Zurück zum Zitat Torkildsen, H, Hovland, H., Opsahl, T., Haavardsholm, T., Nicolas, S., & Skauli, T. (2014). Characterization of a compact 6-band multifunctional camera based on patterned spectral filters in the focal plane. In SPIE defense+ security, international society for optics and photonics (pp. 908819–908819). Torkildsen, H, Hovland, H., Opsahl, T., Haavardsholm, T., Nicolas, S., & Skauli, T. (2014). Characterization of a compact 6-band multifunctional camera based on patterned spectral filters in the focal plane. In SPIE defense+ security, international society for optics and photonics (pp. 908819–908819).
Zurück zum Zitat Tzannes, A. P., & Mooney, J. M. (1995). Measurement of the modulation transfer function of infrared cameras. Optical Engineering, 34(6), 1808–1817.CrossRef Tzannes, A. P., & Mooney, J. M. (1995). Measurement of the modulation transfer function of infrared cameras. Optical Engineering, 34(6), 1808–1817.CrossRef
Zurück zum Zitat Ye, M., Wang, B., Uchida, M., Yanase, S., Takahashi, S., & Sato, S. (2012). Focus tuning by liquid crystal lens in imaging system. Applied Optics, 51(31), 7630–7635.CrossRef Ye, M., Wang, B., Uchida, M., Yanase, S., Takahashi, S., & Sato, S. (2012). Focus tuning by liquid crystal lens in imaging system. Applied Optics, 51(31), 7630–7635.CrossRef
Zurück zum Zitat Zandhuis, J., Pycock, D., Quigley, S., & Webb, P. (1997). Sub-pixel non-parametric PSF estimation for image enhancement. IEE Proceedings-Vision, Image and Signal Processing, 144, 285–292.CrossRef Zandhuis, J., Pycock, D., Quigley, S., & Webb, P. (1997). Sub-pixel non-parametric PSF estimation for image enhancement. IEE Proceedings-Vision, Image and Signal Processing, 144, 285–292.CrossRef
Zurück zum Zitat Zong, Y., Brown, S. W., Meister, G., Barnes, R. A., & Lykke, K. R. (2007). Characterization and correction of stray light in optical instruments vol. (6744), pp. 67441L-1-67441L-11. Zong, Y., Brown, S. W., Meister, G., Barnes, R. A., & Lykke, K. R. (2007). Characterization and correction of stray light in optical instruments vol. (6744), pp. 67441L-1-67441L-11.
Metadaten
Titel
2D Sub-pixel Point Spread Function Measurement Using a Virtual Point-Like Source
verfasst von
Jurij Jemec
Franjo Pernuš
Boštjan Likar
Miran Bürmen
Publikationsdatum
02.09.2016
Verlag
Springer US
Erschienen in
International Journal of Computer Vision / Ausgabe 3/2017
Print ISSN: 0920-5691
Elektronische ISSN: 1573-1405
DOI
https://doi.org/10.1007/s11263-016-0948-8

Weitere Artikel der Ausgabe 3/2017

International Journal of Computer Vision 3/2017 Zur Ausgabe

Premium Partner