Abstract

We investigate in this paper a new reconstruction method in order to perform 3D Terahertz (THz) tomography using a continuous wave acquisition setup in transmission mode. This method is based on the Maximum Likelihood for TRansmission tomography (ML-TR) first developed for X-ray imaging. We optimize the Ordered Subsets Convex (OSC) implementation of the ML-TR by including the Gaussian propagation model of THz waves and take into account the intensity distributions of both blank calibration scan and dark-field measured on THz detectors. THz ML-TR reconstruction quality and accuracy are discussed and compared to other tomographic reconstructions.

© 2014 Optical Society of America

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References

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    [Crossref]
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  4. S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
    [Crossref]
  5. K. Fukunaga and M. Picollo, “Terahertz spectroscopy applied to the analysis of artists materials,” Appl. Phys. A 100, 591–597 (2010).
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    [Crossref]
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    [Crossref]
  8. B. Ferguson, S. Wang, D. Gray, D. Abbot, and X. C. Zhang, “T-ray computed tomography,” Opt. Lett. 27, 1312–1314 (2002).
    [Crossref]
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    [Crossref] [PubMed]
  10. S. Wang and X. C. Zhang, “Pulsed terahertz tomography,” J. Phys. D: Appl. Phys. 37, R1–R36 (2004).
    [Crossref]
  11. M. M. Awad and R. A. Cheville, “Transmission terahertz waveguide-based imaging below the diffraction limit,” Appl. Phys. Lett. 86, 221107 (2005).
    [Crossref]
  12. X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, “Wavelet based local tomographic image using terahertz techniques,” Digital Signal Process. 19, 750–763 (2009).
    [Crossref]
  13. A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
    [Crossref]
  14. B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
  17. JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
    [Crossref]
  18. A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART) : A superior implementation of the ART algorithm,” Ultrasonic Imaging 6, 81–94 (1984).
    [Crossref]
  19. L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging 1, 113–122 (1982).
    [Crossref] [PubMed]
  20. H. M. Hudson and R. S. Larkin, “Accelerated image reconstruction using ordered subsets of projection data,” IEEE Trans. Med. Imaging 13, 601–609 (1994).
    [Crossref] [PubMed]
  21. J. A. Fessler, “Hybrid poisson/polynomial objective functions for tomographic image reconstruction from transmission scans,” IEEE Trans. on Im. Processing 4, 1439–1450 (1995).
    [Crossref]
  22. B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).
  23. K. Lange and R. Carson, “EM reconstruction algorithms for emission and transmission tomography,” J Comput Assist Tomogr 8, 306–316 (1984).
    [PubMed]
  24. K. Lange, M. Bahn, and R. Little, “A theoretical study of some maximum likelihood algorithms for emission and transmission tomography,” IEEE Trans. on Med. Imaging 6, 106–114 (1987).
    [Crossref]
  25. K. Lange and J. A. Fessler, “Globally convergent algorithms for maximum a posteriori transmission tomography,” IEEE Trans. on Im. Processing 4, 1430–1438 (1995).
    [Crossref]
  26. C. Kamphuis and F. J. Beekman, “Accelerated iterative transmission ct reconstruction using an ordered subsets convex algorithm,” IEEE Trans. on Med. Imaging 17, 1101–1105 (1998).
    [Crossref]
  27. H. Erdogan and J. A. Fessler, “Ordered subsets algorithms for transmission tomography,” Phys. Med. Biol. 44(11), R2835 (1999).
    [Crossref]

2014 (2)

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

2012 (2)

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

2011 (2)

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

2010 (2)

K. Fukunaga and M. Picollo, “Terahertz spectroscopy applied to the analysis of artists materials,” Appl. Phys. A 100, 591–597 (2010).
[Crossref]

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
[Crossref]

2009 (2)

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, “Wavelet based local tomographic image using terahertz techniques,” Digital Signal Process. 19, 750–763 (2009).
[Crossref]

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

2007 (1)

W. L. Chan, J. Deibel, and D. M. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys. 70, 1325–1379 (2007).
[Crossref]

2005 (2)

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

M. M. Awad and R. A. Cheville, “Transmission terahertz waveguide-based imaging below the diffraction limit,” Appl. Phys. Lett. 86, 221107 (2005).
[Crossref]

2004 (1)

S. Wang and X. C. Zhang, “Pulsed terahertz tomography,” J. Phys. D: Appl. Phys. 37, R1–R36 (2004).
[Crossref]

2003 (2)

2002 (1)

1999 (1)

H. Erdogan and J. A. Fessler, “Ordered subsets algorithms for transmission tomography,” Phys. Med. Biol. 44(11), R2835 (1999).
[Crossref]

1998 (1)

C. Kamphuis and F. J. Beekman, “Accelerated iterative transmission ct reconstruction using an ordered subsets convex algorithm,” IEEE Trans. on Med. Imaging 17, 1101–1105 (1998).
[Crossref]

1995 (2)

K. Lange and J. A. Fessler, “Globally convergent algorithms for maximum a posteriori transmission tomography,” IEEE Trans. on Im. Processing 4, 1430–1438 (1995).
[Crossref]

J. A. Fessler, “Hybrid poisson/polynomial objective functions for tomographic image reconstruction from transmission scans,” IEEE Trans. on Im. Processing 4, 1439–1450 (1995).
[Crossref]

1994 (1)

H. M. Hudson and R. S. Larkin, “Accelerated image reconstruction using ordered subsets of projection data,” IEEE Trans. Med. Imaging 13, 601–609 (1994).
[Crossref] [PubMed]

1987 (1)

K. Lange, M. Bahn, and R. Little, “A theoretical study of some maximum likelihood algorithms for emission and transmission tomography,” IEEE Trans. on Med. Imaging 6, 106–114 (1987).
[Crossref]

1984 (2)

K. Lange and R. Carson, “EM reconstruction algorithms for emission and transmission tomography,” J Comput Assist Tomogr 8, 306–316 (1984).
[PubMed]

A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART) : A superior implementation of the ART algorithm,” Ultrasonic Imaging 6, 81–94 (1984).
[Crossref]

1982 (1)

L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging 1, 113–122 (1982).
[Crossref] [PubMed]

Abbot, D.

Abbott, D.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, “Wavelet based local tomographic image using terahertz techniques,” Digital Signal Process. 19, 750–763 (2009).
[Crossref]

S. Wang, B. Ferguson, D. Abbott, and X. C. Zhang, “T-ray imaging and tomography,” J. Biol. Phys. 29, 247–256 (2003).
[Crossref] [PubMed]

Abraham, E.

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

Ahuja, A. T.

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

Andersen, A. H.

A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART) : A superior implementation of the ART algorithm,” Ultrasonic Imaging 6, 81–94 (1984).
[Crossref]

Awad, M. M.

M. M. Awad and R. A. Cheville, “Transmission terahertz waveguide-based imaging below the diffraction limit,” Appl. Phys. Lett. 86, 221107 (2005).
[Crossref]

Bahn, M.

K. Lange, M. Bahn, and R. Little, “A theoretical study of some maximum likelihood algorithms for emission and transmission tomography,” IEEE Trans. on Med. Imaging 6, 106–114 (1987).
[Crossref]

Bassel, L.

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

Basu, S.

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Beekman, F. J.

C. Kamphuis and F. J. Beekman, “Accelerated iterative transmission ct reconstruction using an ordered subsets convex algorithm,” IEEE Trans. on Med. Imaging 17, 1101–1105 (1998).
[Crossref]

Beigang, R.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Benharbone, W.

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

Bosom, P. V.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Bouman, C.

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Bousquet, B.

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

Brahm, A.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
[Crossref]

Canioni, L.

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

Carson, R.

K. Lange and R. Carson, “EM reconstruction algorithms for emission and transmission tomography,” J Comput Assist Tomogr 8, 306–316 (1984).
[PubMed]

Caumes, J.-P.

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

Caumes, J-P.

Chan, W. L.

W. L. Chan, J. Deibel, and D. M. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys. 70, 1325–1379 (2007).
[Crossref]

Chassagne, B.

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

Cheville, R. A.

M. M. Awad and R. A. Cheville, “Transmission terahertz waveguide-based imaging below the diffraction limit,” Appl. Phys. Lett. 86, 221107 (2005).
[Crossref]

Cole, B. E.

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

Dautant, A.

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

De Man, B.

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Deibel, J.

W. L. Chan, J. Deibel, and D. M. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys. 70, 1325–1379 (2007).
[Crossref]

Delagnes, J.-C.

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

Desbarats, P.

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

Domenger, J.-P.

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

Erdogan, H.

H. Erdogan and J. A. Fessler, “Ordered subsets algorithms for transmission tomography,” Phys. Med. Biol. 44(11), R2835 (1999).
[Crossref]

Ferguson, B.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, “Wavelet based local tomographic image using terahertz techniques,” Digital Signal Process. 19, 750–763 (2009).
[Crossref]

S. Wang, B. Ferguson, D. Abbott, and X. C. Zhang, “T-ray imaging and tomography,” J. Biol. Phys. 29, 247–256 (2003).
[Crossref] [PubMed]

B. Ferguson, S. Wang, D. Gray, D. Abbot, and X. C. Zhang, “T-ray computed tomography,” Opt. Lett. 27, 1312–1314 (2002).
[Crossref]

Fessler, J.

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Fessler, J. A.

H. Erdogan and J. A. Fessler, “Ordered subsets algorithms for transmission tomography,” Phys. Med. Biol. 44(11), R2835 (1999).
[Crossref]

K. Lange and J. A. Fessler, “Globally convergent algorithms for maximum a posteriori transmission tomography,” IEEE Trans. on Im. Processing 4, 1430–1438 (1995).
[Crossref]

J. A. Fessler, “Hybrid poisson/polynomial objective functions for tomographic image reconstruction from transmission scans,” IEEE Trans. on Im. Processing 4, 1439–1450 (1995).
[Crossref]

Fragnol, C.

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

Frederique, L.

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

Fukunaga, K.

K. Fukunaga and M. Picollo, “Terahertz spectroscopy applied to the analysis of artists materials,” Appl. Phys. A 100, 591–597 (2010).
[Crossref]

González, L. V.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Gray, D.

Guillet, J.-P.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

Guillet, JP

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

Hsieh, J.

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Huang, S. Y.

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

Hudson, H. M.

H. M. Hudson and R. S. Larkin, “Accelerated image reconstruction using ordered subsets of projection data,” IEEE Trans. Med. Imaging 13, 601–609 (1994).
[Crossref] [PubMed]

Inoue, H.

Jonuscheit, J.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Kak, A. C.

A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART) : A superior implementation of the ART algorithm,” Ultrasonic Imaging 6, 81–94 (1984).
[Crossref]

Kamphuis, C.

C. Kamphuis and F. J. Beekman, “Accelerated iterative transmission ct reconstruction using an ordered subsets convex algorithm,” IEEE Trans. on Med. Imaging 17, 1101–1105 (1998).
[Crossref]

Kawase, K.

Kemp, M. C.

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

Kunz, M.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
[Crossref]

Lange, K.

K. Lange and J. A. Fessler, “Globally convergent algorithms for maximum a posteriori transmission tomography,” IEEE Trans. on Im. Processing 4, 1430–1438 (1995).
[Crossref]

K. Lange, M. Bahn, and R. Little, “A theoretical study of some maximum likelihood algorithms for emission and transmission tomography,” IEEE Trans. on Med. Imaging 6, 106–114 (1987).
[Crossref]

K. Lange and R. Carson, “EM reconstruction algorithms for emission and transmission tomography,” J Comput Assist Tomogr 8, 306–316 (1984).
[PubMed]

Larkin, R. S.

H. M. Hudson and R. S. Larkin, “Accelerated image reconstruction using ordered subsets of projection data,” IEEE Trans. Med. Imaging 13, 601–609 (1994).
[Crossref] [PubMed]

Little, R.

K. Lange, M. Bahn, and R. Little, “A theoretical study of some maximum likelihood algorithms for emission and transmission tomography,” IEEE Trans. on Med. Imaging 6, 106–114 (1987).
[Crossref]

Lo, T.

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

López, I.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Manek-Hönninger, I.

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

Martínez Edo, R.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Matheis, C.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Mittleman, D. M.

W. L. Chan, J. Deibel, and D. M. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys. 70, 1325–1379 (2007).
[Crossref]

Mounaix, P.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

Ng, B. W. H.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, “Wavelet based local tomographic image using terahertz techniques,” Digital Signal Process. 19, 750–763 (2009).
[Crossref]

Notni, G.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
[Crossref]

Ogawa, Y.

Ospald, F.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Pickwell-MacPherson, E.

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

Picollo, M.

K. Fukunaga and M. Picollo, “Terahertz spectroscopy applied to the analysis of artists materials,” Appl. Phys. A 100, 591–597 (2010).
[Crossref]

Recur, B.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

B. Recur, J.-P. Guillet, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, L. Canioni, and P. Mounaix, “Propagation beam consideration for 3d thz computed tomography,” Opt. Express 20, 5817–5829 (2012).
[Crossref] [PubMed]

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

Riehemann, S.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
[Crossref]

Salort, S.

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

Sauer, K.

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Shen, Y. C.

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

Shepp, L. A.

L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging 1, 113–122 (1982).
[Crossref] [PubMed]

Sternberg, Y.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Taday, P. F.

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

Thibault, J.B.

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Tribe, W. R.

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

Tünnermann, A.

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
[Crossref]

Vandewal, M.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Vardi, Y.

L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging 1, 113–122 (1982).
[Crossref] [PubMed]

Vleugels, W.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Wang, S.

S. Wang and X. C. Zhang, “Pulsed terahertz tomography,” J. Phys. D: Appl. Phys. 37, R1–R36 (2004).
[Crossref]

S. Wang, B. Ferguson, D. Abbott, and X. C. Zhang, “T-ray imaging and tomography,” J. Biol. Phys. 29, 247–256 (2003).
[Crossref] [PubMed]

B. Ferguson, S. Wang, D. Gray, D. Abbot, and X. C. Zhang, “T-ray computed tomography,” Opt. Lett. 27, 1312–1314 (2002).
[Crossref]

Wang, Y. X. J.

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

Watanabe, Y.

Yeung, D. K. W.

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

Yin, X.

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, “Wavelet based local tomographic image using terahertz techniques,” Digital Signal Process. 19, 750–763 (2009).
[Crossref]

Younus, A.

B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J-P. Caumes, and E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19, 5105–5117 (2011).
[Crossref] [PubMed]

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

Zhang, X. C.

S. Wang and X. C. Zhang, “Pulsed terahertz tomography,” J. Phys. D: Appl. Phys. 37, R1–R36 (2004).
[Crossref]

S. Wang, B. Ferguson, D. Abbott, and X. C. Zhang, “T-ray imaging and tomography,” J. Biol. Phys. 29, 247–256 (2003).
[Crossref] [PubMed]

B. Ferguson, S. Wang, D. Gray, D. Abbot, and X. C. Zhang, “T-ray computed tomography,” Opt. Lett. 27, 1312–1314 (2002).
[Crossref]

Zhang, Y. T.

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

Ziéglé, A.

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

Zouaghi, W.

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

Appl. Optics (1)

J.-P. Caumes, A. Younus, S. Salort, B. Chassagne, B. Recur, A. Ziéglé, A. Dautant, and E. Abraham, “Terahertz tomographic imaging of xviiith dynasty egyptian sealed pottery,” Appl. Optics 50, 3604–3608 (2011).
[Crossref]

Appl. Phys. A (1)

K. Fukunaga and M. Picollo, “Terahertz spectroscopy applied to the analysis of artists materials,” Appl. Phys. A 100, 591–597 (2010).
[Crossref]

Appl. Phys. B (1)

A. Brahm, M. Kunz, S. Riehemann, G. Notni, and A. Tünnermann, “Volumetric spectral analysis of materials using terahertz-tomography techniques,” Appl. Phys. B 100, 151–158 (2010).
[Crossref]

Appl. Phys. Lett. (2)

M. M. Awad and R. A. Cheville, “Transmission terahertz waveguide-based imaging below the diffraction limit,” Appl. Phys. Lett. 86, 221107 (2005).
[Crossref]

Y. C. Shen, T. Lo, P. F. Taday, B. E. Cole, W. R. Tribe, and M. C. Kemp, “Detection and identification of explosives using terahertz pulsed spectroscopic imaging,” Appl. Phys. Lett. 86, 241116 (2005).
[Crossref]

Digital Signal Process. (1)

X. Yin, B. W. H. Ng, B. Ferguson, and D. Abbott, “Wavelet based local tomographic image using terahertz techniques,” Digital Signal Process. 19, 750–763 (2009).
[Crossref]

IEEE Trans. Med. Imaging (2)

L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging 1, 113–122 (1982).
[Crossref] [PubMed]

H. M. Hudson and R. S. Larkin, “Accelerated image reconstruction using ordered subsets of projection data,” IEEE Trans. Med. Imaging 13, 601–609 (1994).
[Crossref] [PubMed]

IEEE Trans. on Im. Processing (2)

J. A. Fessler, “Hybrid poisson/polynomial objective functions for tomographic image reconstruction from transmission scans,” IEEE Trans. on Im. Processing 4, 1439–1450 (1995).
[Crossref]

K. Lange and J. A. Fessler, “Globally convergent algorithms for maximum a posteriori transmission tomography,” IEEE Trans. on Im. Processing 4, 1430–1438 (1995).
[Crossref]

IEEE Trans. on Med. Imaging (2)

C. Kamphuis and F. J. Beekman, “Accelerated iterative transmission ct reconstruction using an ordered subsets convex algorithm,” IEEE Trans. on Med. Imaging 17, 1101–1105 (1998).
[Crossref]

K. Lange, M. Bahn, and R. Little, “A theoretical study of some maximum likelihood algorithms for emission and transmission tomography,” IEEE Trans. on Med. Imaging 6, 106–114 (1987).
[Crossref]

J Comput Assist Tomogr (1)

K. Lange and R. Carson, “EM reconstruction algorithms for emission and transmission tomography,” J Comput Assist Tomogr 8, 306–316 (1984).
[PubMed]

J. Biol. Phys. (1)

S. Wang, B. Ferguson, D. Abbott, and X. C. Zhang, “T-ray imaging and tomography,” J. Biol. Phys. 29, 247–256 (2003).
[Crossref] [PubMed]

J. Infrared Milli Terahz (1)

JP Guillet, B. Recur, L. Frederique, B. Bousquet, L. Canioni, I. Manek-Hönninger, P. Desbarats, and P. Mounaix, “Review of Terahertz tomography techniques,” J. Infrared Milli Terahz 35(4), 382–411 (2014).
[Crossref]

J. Phys. D: Appl. Phys. (1)

S. Wang and X. C. Zhang, “Pulsed terahertz tomography,” J. Phys. D: Appl. Phys. 37, R1–R36 (2004).
[Crossref]

Opt. Eng. (2)

F. Ospald, W. Zouaghi, R. Beigang, C. Matheis, J. Jonuscheit, B. Recur, J.-P. Guillet, P. Mounaix, W. Vleugels, P. V. Bosom, L. V. González, I. López, R. Martínez Edo, Y. Sternberg, and M. Vandewal, “Aeronautics composite material inspection with a terahertz time-domain spectroscopy system,” Opt. Eng. 53(3), 031208 (2014).
[Crossref]

B. Recur, J.-P. Guillet, L. Bassel, C. Fragnol, I. Manek-Hönninger, J.-C. Delagnes, W. Benharbone, P. Desbarats, J.-P. Domenger, and P. Mounaix, “THz radiations for tomographic inspection,” Opt. Eng. 51(9), 091609 (2012).
[Crossref]

Opt. Express (3)

Opt. Lett. (1)

Phys. Med. Biol. (2)

S. Y. Huang, Y. X. J. Wang, D. K. W. Yeung, A. T. Ahuja, Y. T. Zhang, and E. Pickwell-MacPherson, “Tissue characterization using terahertz pulsed imaging in reflection geometry,” Phys. Med. Biol. 54, 149–160 (2009).
[Crossref]

H. Erdogan and J. A. Fessler, “Ordered subsets algorithms for transmission tomography,” Phys. Med. Biol. 44(11), R2835 (1999).
[Crossref]

Rep. Prog. Phys. (1)

W. L. Chan, J. Deibel, and D. M. Mittleman, “Imaging with terahertz radiation,” Rep. Prog. Phys. 70, 1325–1379 (2007).
[Crossref]

Ultrasonic Imaging (1)

A. H. Andersen and A. C. Kak, “Simultaneous algebraic reconstruction technique (SART) : A superior implementation of the ART algorithm,” Ultrasonic Imaging 6, 81–94 (1984).
[Crossref]

Other (1)

B. De Man, S. Basu, J.B. Thibault, J. Hsieh, J. Fessler, C. Bouman, and K. Sauer, “A study of four minimization approaches for iterative reconstruction in X-ray CT,” IEEE Nuclear Science Symposium Conference Record M11-3395(2005).

Supplementary Material (2)

» Media 1: MOV (141 KB)     
» Media 2: MOV (4022 KB)     

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Figures (8)

Fig. 1
Fig. 1 (a) Simulated propagation of the beam for a 287 GHz source (position in meters), w0 = 2.3 mm at beam waist according to previously measured beam. (b) Gaussian intensity distribution at beam waist (Intensity (a.u)).
Fig. 2
Fig. 2 Experimental setup: THz beam, delivered by a Gunn diode and a tripler (power 12 mW at 287 GHz) is collimated and focussed with a pair of PTFE lenses. Acquired sample is positionated on a three-axes motorized stage comprising the X,Y and θ movements.
Fig. 3
Fig. 3 (a) Picture of the acquired head spray. (b) 36 projections of the sample acquired uniformly in the angle range [0°, 180°] with an angle step of 5° between two consecutive projections ( Media 1).
Fig. 4
Fig. 4 (a) blank scan distribution : measured distribution (red), first approximate (green) and final model obtained by a Gaussian fitting algorithm (blue). (b) dark-field distribution : measured distribution (red), first approximate (green) and final model obtained by a Gaussian fitting algorithm (blue).
Fig. 5
Fig. 5 Few cross-sections along Y-Axis of the imaged object obtained respectively by BFP, THz-SART and THz ML-TR methods (from the first to the last line, respectively). From left to right: y = 15, 30, 45, 60, 75, and 90.
Fig. 6
Fig. 6 (a) Difference image BFP at THz ML-TR, and (b) SART and THz ML-TR at position y = 80. (c) Slice at position y = 15 obtained by ML-TR without Gaussian beam model. (d) Difference image between ML-TR and THz ML-TR of cross-sectional images at y = 15.
Fig. 7
Fig. 7 3D visualisations of BFP (a), THz-SART (b) and THz ML-TR (c) results.
Fig. 8
Fig. 8 3D visualisation of the object reconstructed by THz ML-TR. On the left: 3D meshing view, allowing both surface and volume analysis. On the right: 3D dotted view + 2D slice overprints, revealing the inner spray mechanism ( Media 2).

Equations (7)

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p ( R | μ ) = i e R ^ ( i ) ( R ^ ( i ) ) R ( i ) R ( i ) !
R ^ ( i ) = I 0 ( i ) e j w i j μ ( j ) + bg ( i )
μ s + 1 t ( j ) = μ s t ( j ) + α t μ s t ( j ) i S ( s ) w i j ( R ^ s t ( i ) R ( i ) ) i S ( s ) w i j R ^ s t ( i ) k w i k μ s t ( k )
w ( z ) = w 0 1 + ( z z R ) 2
G ( j ) = I max ( w 0 w ( z ) ) 2 exp ( 2 r 2 w 2 ( z ) )
μ ( j ) = f ( j ) G ( j )
f s + 1 t ( j ) = f s t ( j ) + f s t ( j ) i S ( s ) w i j ( R ^ s t ( i ) R ( i ) ) i S ( s ) w i j R ^ s t ( i ) k w i k μ s t ( k )

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