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Selective edge enhancement using shifted anisotropic vortex filter

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Abstract

We propose a new method for selective edge enhancement using shifted anisotropic vortex phase mask. The shifted anisotropic phase mask is generated by introducing controllable anisotropy in conventional vortex mask [\( \exp \left( {i\theta } \right) \)] with the help of sine function and shifting the singularity away from the zero frequency component in the filter plane. The shifted anisotropic vortex mask is capable of enhancing the edges of the given object selectively in any desired direction.

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References

  1. N.R. Heckenberg, R. McDuff, C.P. Smith, A.G. White, Generation of phase singularities by computer generated holograms. Opt. Lett. 17, 221 (1990)

    Article  ADS  Google Scholar 

  2. M.R. Reicherter, T. Haist, E.U. Wagemann, H.J. Tiziani, Optical particle trapping with computer-generated holograms written on a liquid-crystal display. Opt. Lett. 24, 608 (1999)

    Article  ADS  Google Scholar 

  3. S. Vyas, P. Senthilkumaran, Interferometric optical vortex array generation. Appl. Opt. 46, 2893 (2009)

    Article  ADS  Google Scholar 

  4. S. Vyas, P. Senthilkumaran, Vortex array generation by interference of spherical waves. Appl. Opt. 46, 7862 (2009)

    Article  ADS  Google Scholar 

  5. D.P. Ghai, S. Vyas, P. Senthilkumaran, R.S. Sirohi, Vortex lattice generation using interferometric techniques based on lateral shearing. Opt. Commun 282, 2692 (2009)

    Article  ADS  Google Scholar 

  6. B.K. Singh, G. Singh, P. Senthilkumaran, D.S. Mehta, Generation of optical vortex array using single element reversed-wave front folding interferometer. Int. J. Opt. 2012(689612), 7 (2012). doi:10.1155/2012/689612

  7. P. Senthilkumaran, Optical phase singularities in detection of laser beam collimation. Appl. Opt. 42, 6314 (2003)

    Google Scholar 

  8. P. Senthilkumaran, J. Masajada, S. Sato, Interferometry with vortices. Int. J. Opt. 2012(517591), 18 (2012). doi:10.1155/2012/517591

  9. P. Senthilkumaran, F. Wyrowski, H. Schimmel, Vortex stagnation problem in iterative Fourier transform algorithm. Opt. and lasers in Eng., 43, 43–56 (2005)

    Google Scholar 

  10. J.W. Goodman, Introduction to Fourier optics (Roberts and Co, Colardo, 2007)

    Google Scholar 

  11. S.N. Khonina, V.V. Kotlyar, M.V. Shinkaryev, V.A. Soifer, G.V. Uspleniev, The phase rotor filter. J. Mod.Optics 39, 1147 (1992)

    Article  ADS  Google Scholar 

  12. J.A. Davis, D.E. Mcnamara, D.M. Cottrel, J. Campos, Image processing with the radial Hilbert transform: theory and experiments. Opt. Lett. 25, 99 (2000)

    Article  ADS  Google Scholar 

  13. R.B. Bracewell, The Fourier transform and its application (McGraw-Hill, New York, 1965)

    Google Scholar 

  14. J.A. Davis, D.E. McNamara, D.M. Cottrell, Analysis of the fractional Hilbert transform. Appl. Optics 37, 6911 (1998)

    Article  ADS  Google Scholar 

  15. J.A. Davis, D.A. Smith, D.E. McNamara, D.M. Cottrell, J. Campos, Fractional derivatives—analysis and experimental implementation. Appl. Optics 40, 5943 (2001)

    Article  ADS  Google Scholar 

  16. A.W. Lohmann, D. Mendlovic, Z. Zalevsky, Fractional Hilbert transform. Opt. Lett. 21, 281 (1996)

    Article  ADS  Google Scholar 

  17. G. Situ, M. Warber, G. Pedrini, W. Osten, Phasecontrast enhancement in microscopy in microscopy using spiral phase filtering. Opt. Commun. 283, 1273–1277 (2010)

    Google Scholar 

  18. A.W. Lohmann, E. Tepichı’n, J.G. Ramı’rez, Optical implementation of the fractional Hilbert transform for two-dimensional objects. Appl. Optics 36, 6620 (1997)

    Article  ADS  Google Scholar 

  19. S. Guohai, P. Giancarlo, O. Wolfgang, Spiral phase filtering and orientation-selective edge detection/enhancement. J. Opt. Soc Am. A 26, 1788 (2009)

    Article  Google Scholar 

  20. M. K. Sharma, J. Joseph, P. Senthilkumaran, Selective edge enhancement using anisotropic vortex filter. Appl. Optics 50, 5279 (2011)

    Article  ADS  Google Scholar 

  21. K. Guang-Hoon, L. Hae June, K. Jong-Uk, S. Hyyong, Propagation dynamics of optical vortices with anisotropic phase profiles. J. Opt. Soc Am. B 20, 351 (2003)

    Article  Google Scholar 

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Acknowledgement

Manoj Kumar Sharma would like to thankfully acknowledge council of scientific and industrial research of India (CSIR) for senior research fellowship (SRF).

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Correspondence to Manoj Kumar Sharma.

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Sharma, M.K., Joseph, J. & Senthilkumaran, P. Selective edge enhancement using shifted anisotropic vortex filter. J Opt 42, 1–7 (2013). https://doi.org/10.1007/s12596-012-0089-6

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  • DOI: https://doi.org/10.1007/s12596-012-0089-6

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