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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 4, Iss. 8 — Apr. 12, 1999
  • pp: 247–262

Algorithms for 3D localization and imaging using near-field diffraction tomography with diffuse light

Turgut Durduran, J. P. Culver, M. J. Holboke, X. D. Li, Leonid Zubkov, B. Chance, Deva N. Pattanayak, and A. G. Yodh  »View Author Affiliations

Optics Express, Vol. 4, Issue 8, pp. 247-262 (1999)

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We introduce two filtering methods for near-field diffuse light diffraction tomography based on the angular spectrum representation. We then combine these filtering techniques with a new method to find the approximate depth of the image heterogeneities. Taken together these ideas improve the fidelity of our projection image reconstructions, provide an interesting three dimensional rendering of the reconstructed volume, and enable us to identify and classify image artifacts that need to be controlled better for tissue applications. The analysis is accomplished using data derived from numerical finite difference simulations with added noise.

© Optical Society of America

OCIS Codes
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3830) Medical optics and biotechnology : Mammography
(170.5270) Medical optics and biotechnology : Photon density waves
(170.5280) Medical optics and biotechnology : Photon migration

ToC Category:
Focus Issue: Biomedical diffuse optical tomography

Original Manuscript: March 2, 1999
Published: April 12, 1999

Turgut Durduran, J. Culver, M. Holboke, X. Li, Leonid Zubkov, Britton Chance, Deva Pattanayak, and Arjun Yodh, "Algorithms for 3D localization and imaging using near-field diffraction tomography with diffuse light," Opt. Express 4, 247-262 (1999)

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  1. A. G. Yodh and B. Chance, "Spectroscopy and imaging with diffusing light," Physics Today 48, 34-40 (March 1995). [CrossRef]
  2. B. Chance, in Photon Migration in Tissues (Plenum Press, 1989)
  3. B. J Trombeg, L. O. Svaasand, T. Tsay and R. C. M. Haskell, "Properties of Photon Density Waves in Multiple-Scattering Media," Appl. Opt. 32, 607 (1993). [CrossRef]
  4. M. A. O' Leary, D. A . Boas, B. Chance and A. G. Yodh, "Experimental Images of heterogeneous turbid media by frequency-domain diffusing-photon tomography," Opt. Lett. 20, 426-428 (1995). [CrossRef]
  5. H. Jiang, K. D. Paulsen, U. L. Osterberg, B. W. Pogue and M.S. Patterson, "Optical Image reconstruction using frequency-domain data: Simulations and experiments," J. Opt. Soc. Am. A 13, 253-266 (1996). [CrossRef]
  6. Y. Yao, Y. Wang, Y. Pei, W. Zhu and R. L. Barbour, "Frequency-domain optical imaging of absorption and scattering distributions using a born iterative mehod," J. Opt. Soc. Am. A 14, 325-342 (1997). [CrossRef]
  7. M. O'Leary, "Imaging with Diffuse Photon Density Waves," in PhD Thesis (Dept. Physics & Astronomy, U. of Pennsylvania, May 1996) .
  8. M. S Patterson, B. Chance and B. C. Wilson, "Time Resolved Re ectance And Transmittance for the Non-Invasive Measurement of Tissue Optical Properties," Appl. Opt. 28, 2331 (1989). [CrossRef] [PubMed]
  9. S. R. Arridge, "Forward and inverse problems in time-resolved infrared imaging," in Medical Optical Tomography: Functional Imaging and Monitoring, ed. G. Muller and B. Chance, Rl. Alfano, S. Arridge, J. Beuthan, E. Gratton, M Kaschke, B. Masters, S. Svanberg and P. van der Zee, Proc SPIE IS11, 35-64 (1993).
  10. D. A. Benaron, D. C. Ho, S. Spilman, J. P. Van Houten and D. K. Stevenson, "Tomographic time-of-flight optical imaging device," Adv. Exp. Med. Biol. 361, 609-617 (1994). [CrossRef]
  11. Gratton, E. and J. B. Fishkin, "Optical spectroscopy of tissue-like phantoms using photon density waves," Comments on Cell. and Mol. Biophys. 8(6), 309-359 (1995).
  12. J. B. Fishkin, O. Coquoz, E. R. Anderson, M. Brenner and B. J. Tromberg, "Frequency-domain photon migration measurements of normal and malignant tissue optical properties in a human subject," Appl. Opt. 36, 10 (1997). [CrossRef] [PubMed]
  13. W. Bank and B. Chance, "An Oxidative Effect in metabolic myopathies - diagnosis by noninvasive tissue oximetry," Ann. Neurol. 36, 830 (1994). [CrossRef] [PubMed]
  14. Y. Hoshi and M. Tamura, "Near-Infrared Optical Detection of Sequential Brain Activation in The Prefrontal cortex during mental tasks," Neuroimage. 5, 292 (1997). [CrossRef] [PubMed]
  15. A. Villringer and B. Chance, "Non-invasive optical spectroscopy and imaging of human brain functions," Trends. Neurosci. 20, 435 (1997) . [CrossRef] [PubMed]
  16. B. Chance, Q. M. Luo, S. Nioka, D. C. Alsop and J. A. Detre, "Optical investigations of physiology: a study of intrinsic and extrinsic biomedical contrast," Phil. Trans. Roy. Soc. London B. 352, 707 (1997). [CrossRef] [PubMed]
  17. B. W. Pogue and K. D. Paulsen, "High-resolution near-infrared tomographic imaging simulations of the rat cranium by use of apriori magnetic resonance imaging structural information," Opt. Lett. 23, 1716-1718 (1998). [CrossRef]
  18. R. M. Danen, Y. Wang, X. D. Li, W. S. Thayer and A. G.Yodh, "Regional imager for low- resolution functional imaging of the brain with diffusing near-infrared light," Photochem. Photobiol. 67, 33-40 (1998). [CrossRef] [PubMed]
  19. J. H.Hoogenraad, M. B.van der Mark, S. B.Colak, G. W.'t Hooft and E. S. van der Linden, "First Results from the Philips Optical Mammoscope," Proc.SPIE / BiOS-97 (SanRemo, 1997 ) .
  20. S. K. Gayen, M. E.Zevallos, B. B. Das, R. R. Alfano and "Time-sliced transillumination imaging of normal and cancerous breast tissues," in Trends in Opt. And Photonics, ed. J. G. Fujimoto and M. S. Patterson.
  21. X. D. Li, J. Culver, D. N. Pattanayak, A. G. Yodh and B. Chance, "Photon Density Wave Imaging With K-Space Spectrum Analysis: clinical studies - background substraction and boundary effects," Technical Digest Series - CLEO '98, 6, 88-89 (1998).
  22. S. Fantini, S. A. Walker, M. A. Franceschini, K. T. Moesta, P. M. Schlag, M. Kaschke, and E. Gratton. "Assessment of the size, position, and optical properties of breast tumors in vivo by non-invasive optical methods" Appl. Opt. 37, 1982-1989 (1998). [CrossRef]
  23. M. A. Franceschini, K. T. Moesta, S. Fantini, G. Gaida, E. Gratton, H. Jess, W. W. Mantulin, M. Seeber, P. M. Schlag, and M. Kaschke. "Frequency-domain instrumentation techniques enhance optical mammography: Initial clinical results" Proc. Natl. Acad. Sci. USA, 94, 6468-6473 (1997). [CrossRef]
  24. S. Fantini, M. A. Franceschini, G. Gaida, E. Gratton, H. Jess and W. W. Mantulin, "Frequency- domain optical mammography: edge effect corrections," Med. Phys. 23, 149 (1996). [CrossRef] [PubMed]
  25. E. Wolf, "Principles and Development of Diffraction Tomography" in Trends in Optics, ed. A. Consortini (Academic Press, San Diego, 1996). [CrossRef]
  26. A. J.Devaney, "Diffraction Tomography," Inv. Meth. In Electromagnetic Imaging, 1107-1135 .
  27. E. Wolf, "Inverse Diffraction and a New Reciprocity Theorem," J. Opt. Soc. Am. 58, 1568 (1968).
  28. E. Wolf , "Three Dimensional Structure Determination of Semi-Transparent Objects From Holographic Data," Opt. Commun. 1 , 153-156 (1969). [CrossRef]
  29. B. Q. Chen, J. J. Stamnes, and K. Stamnes, "Reconstruction algorithm for diffraction tomography of diffuse photon density waves in a random medium," Pure Appl. Opt. 7, 1161-1180 (1998). [CrossRef]
  30. D. L. Lasocki, C. L. Matson and P. J. Collins, "Analysis of forward scattering of diffuse photon-density waves in turbid media: a diffraction tomography approach to an analytic solution," Opt. Lett. 23, 558-560 (1998). [CrossRef]
  31. D. N. Pattanayak, "Resolution of Optical Images Formed by Diffusion Waves in Highly Scattering Media," GE Tech. Info. Series 91CRD241 (1991).
  32. X. D. Li, T. Durduran, A. G. Yodh, B. Chance and D. N. Pattanayak, "Diffraction Tomography for Biomedical Imaging With Diffuse Photon Density Waves," Opt. Lett. 22, 573-575 (1997). [CrossRef] [PubMed]
  33. X. D. Li, in PhD Thesis (Dept. Physics & Astronomy, U. of Pennsylvania, May 1998).
  34. X. D. Li, D. N. Pattanayak, J. P. Culver, T. Durduran and A. G. Yodh, "Near-Field Diffraction Tomography with Diffuse Photon Density Waves," to be published (1999).
  35. X. Cheng and D. Boas, "Diffuse Optical Reflection Tomography Using Continous Wave Illumination," Opt. Express 3, 118-123 (1998), http://epubs.osa.org/oearchive/source/5663.htm. [CrossRef] [PubMed]
  36. J. C. Schotland, "Near-field Inverse Scattering: Microscopy to Tomography," SPIE 3597 (1999).
  37. C. L. Matson, N. Clark, L. McMackin and J. S. Fender, "Three-dimensional Tumor Localization in Thick Tissue with The Use of Diffuse Photon-Density Waves," Appl. Opt. 36, 214-219 (1997). [CrossRef] [PubMed]
  38. C. L. Matson, "A Diffraction Tomographic Model Of The Forward Problem Using Diffuse Photon Density Waves," Opt. Express 1, 6-11 (1997), http://epubs.osa.org/oearchive/source/1884.htm. [CrossRef] [PubMed]
  39. S. J. Norton and T. Vo-Dinh, "Diffraction Tomographic Imaging With Photon Density Waves: an Explicit Solution," J. Opt. Soc. Am. A 15, 2670-2677 (1998). [CrossRef]
  40. J. C. Schotland, "Continous Wave Diffusion Imaging," J. Opt. Soc. Am. A 14, 275-279 (1997). [CrossRef]
  41. T. Durduran, J. Culver, L. Zubkov, M. Holboke, R. Choe, X. D. Li, B. Chance, D. N. Pattanayak and A. G. Yodh, "Diffraction Tomography In Diffuse Optical Imaging; Filters & Noise," SPIE 3597 (1999).
  42. J. Ripoll and M. Nieto-Vesperinas, "Re ection and Transmission Coefficients of Diffuse Photon Density Waves," in press.
  43. J. Ripoll and M. Nieto-Vesperinas, "Spatial Resolution of Diffuse Photon Density Waves," to be published in J. Opt. Soc. Am. A (1999).
  44. C. L. Matson, "Resolution, Linear Filtering, and Positivity," J. Opt. Soc. Am. A 15, 33-41 (1998). [CrossRef]
  45. F. J. Harris, "On The Use of Windows For Harmonic Analysis with the Discrete Fourier Transform," Proc. Of IEEE 66, 51-83 (1978). [CrossRef]
  46. A.Kak and M. Slaney, in Principles of Computerized Tomographic Imaging (IEEE Press, New York, 1988).
  47. A. J. Devaney, "Linearised Inverse Scattering in Attenuating Media," Inv. Probs. 3, 389-397 (1987). [CrossRef]
  48. A. J. Devaney, "Reconstructive Tomography With Diffracting Wavefields," Inv. Probl. 2, 161-183 (1986). [CrossRef]
  49. Essentially we assume that the scattering contrast is slowly varying. For a detailed description we refer to [33] and [34].
  50. A. J. Banos, in Dipole Radiation In the Presence of a Conducting Half-Space (Pergamon Press, New York, 1966).
  51. J. W. Goodman, in Introduction To Fourier Optics, (McGraw-Hill, San Fransisco , 1968).
  52. We are aware of a similar normalization scheme by Hanli Liu and her collaborators ( private communications SPIE Jan 1999).

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