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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 6 — Mar. 14, 2011
  • pp: 5350–5356

Isotropic edge-enhancement by the Hilbert-transform in optical tomography of phase objects

Areli Montes-Perez, Cruz Meneses-Fabian, and Gustavo Rodriguez-Zurita  »View Author Affiliations


Optics Express, Vol. 19, Issue 6, pp. 5350-5356 (2011)
http://dx.doi.org/10.1364/OE.19.005350


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Abstract

In optical tomography, isotropic edge-enhancement of phase-object slices under the refractionless limit approximation can be reconstructed using spatial filtering techniques. The optical Hilbert-transform of the transmittance function leaving the object at projection angles ϕ ( 0 0 , 360 0 ) , is one of these techniques with some advantages. The corresponding irradiance of the so modified transmittance is considered as projection data, and is proved that they share two properties with the Radon transform: its symmetry property and its zeroth-moment conservation. Accordingly, a modified sinogram able to reconstruct edge-enhanced phase slices is obtained. In this paper, the theoretical model is amply discussed and illustrated both with numerical and experimental results.

© 2011 OSA

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(100.2980) Image processing : Image enhancement
(100.6950) Image processing : Tomographic image processing
(070.2615) Fourier optics and signal processing : Frequency filtering

ToC Category:
Image Processing

History
Original Manuscript: November 29, 2010
Revised Manuscript: January 20, 2011
Manuscript Accepted: January 21, 2011
Published: March 7, 2011

Virtual Issues
Vol. 6, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Areli Montes-Perez, Cruz Meneses-Fabian, and Gustavo Rodriguez-Zurita, "Isotropic edge-enhancement by the Hilbert-transform in optical tomography of phase objects," Opt. Express 19, 5350-5356 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-6-5350


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References

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