Abstract

A method to measure the size, orientation, and location of opaque micro-fibers using digital holography is presented. The method involves the recording of a digital hologram followed by reconstruction at different depths. A novel combination of automated image analysis and statistical techniques, applied on the intensity of reconstructed digital holograms is used to accurately determine the characteristics of the micro-fibers. The performance of the proposed method is verified with a single fiber of known length and orientation. The potential of the method for measurement of fiber length is further demonstrated through its application to a suspension of fibers in a liquid medium.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. U. Schnars and W. Jueptner, Digital Holography: Digital Hologram Recording, Numerical Reconstruction, and Related Techniques, (Springer, Berlin, 2005).
  2. Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
    [CrossRef]
  3. J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, "Digital in-line holographic microscopy," Appl. Opt. 45, 836-850 (2006).
    [CrossRef] [PubMed]
  4. O. C. Chee, V. R. Singh, E. Sim, and A. K. Asundi, "Development of a simple user-friendly commercial digital holographic microscope," Proc. SPIE 6912, 69120V (2008).
    [CrossRef]
  5. E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
    [CrossRef]
  6. T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
    [CrossRef]
  7. M. Malek, S. Coëtmellec, D. Allano, and D. Lebrun, "Formulation of in-line holography process by a linear shift invariant system: Application to the measurement of fiber diameter," Opt. Commun. 223, 263-271 (2003).
    [CrossRef]
  8. D. Lebrun, A. Benkouider, S. Coëtmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11, 224-229 (2003).
    [CrossRef] [PubMed]
  9. L. Denis, T. Fournel, C. Fournier, and D. Jeulin, "Reconstruction of the rose of directions from a digital microhologram of fibres," J. Microsc. 225, 283-292 (2007).
    [CrossRef] [PubMed]
  10. S. Wold, K. Esbensen, and P. Geladi, "Principal component analysis," Chemom. Intell. Lab. Syst. 2, 37-52 (1987).
    [CrossRef]

2008 (3)

O. C. Chee, V. R. Singh, E. Sim, and A. K. Asundi, "Development of a simple user-friendly commercial digital holographic microscope," Proc. SPIE 6912, 69120V (2008).
[CrossRef]

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

2007 (1)

L. Denis, T. Fournel, C. Fournier, and D. Jeulin, "Reconstruction of the rose of directions from a digital microhologram of fibres," J. Microsc. 225, 283-292 (2007).
[CrossRef] [PubMed]

2006 (2)

Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
[CrossRef]

J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, "Digital in-line holographic microscopy," Appl. Opt. 45, 836-850 (2006).
[CrossRef] [PubMed]

2003 (2)

D. Lebrun, A. Benkouider, S. Coëtmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11, 224-229 (2003).
[CrossRef] [PubMed]

M. Malek, S. Coëtmellec, D. Allano, and D. Lebrun, "Formulation of in-line holography process by a linear shift invariant system: Application to the measurement of fiber diameter," Opt. Commun. 223, 263-271 (2003).
[CrossRef]

1987 (1)

S. Wold, K. Esbensen, and P. Geladi, "Principal component analysis," Chemom. Intell. Lab. Syst. 2, 37-52 (1987).
[CrossRef]

Allano, D.

M. Malek, S. Coëtmellec, D. Allano, and D. Lebrun, "Formulation of in-line holography process by a linear shift invariant system: Application to the measurement of fiber diameter," Opt. Commun. 223, 263-271 (2003).
[CrossRef]

Asundi, A. K.

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

O. C. Chee, V. R. Singh, E. Sim, and A. K. Asundi, "Development of a simple user-friendly commercial digital holographic microscope," Proc. SPIE 6912, 69120V (2008).
[CrossRef]

Benkouider, A.

Chee, O. C.

O. C. Chee, V. R. Singh, E. Sim, and A. K. Asundi, "Development of a simple user-friendly commercial digital holographic microscope," Proc. SPIE 6912, 69120V (2008).
[CrossRef]

Coëtmellec, S.

D. Lebrun, A. Benkouider, S. Coëtmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11, 224-229 (2003).
[CrossRef] [PubMed]

M. Malek, S. Coëtmellec, D. Allano, and D. Lebrun, "Formulation of in-line holography process by a linear shift invariant system: Application to the measurement of fiber diameter," Opt. Commun. 223, 263-271 (2003).
[CrossRef]

Darakis, E.

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

Denis, L.

L. Denis, T. Fournel, C. Fournier, and D. Jeulin, "Reconstruction of the rose of directions from a digital microhologram of fibres," J. Microsc. 225, 283-292 (2007).
[CrossRef] [PubMed]

Esbensen, K.

S. Wold, K. Esbensen, and P. Geladi, "Principal component analysis," Chemom. Intell. Lab. Syst. 2, 37-52 (1987).
[CrossRef]

Fournel, T.

L. Denis, T. Fournel, C. Fournier, and D. Jeulin, "Reconstruction of the rose of directions from a digital microhologram of fibres," J. Microsc. 225, 283-292 (2007).
[CrossRef] [PubMed]

Fournier, C.

L. Denis, T. Fournel, C. Fournier, and D. Jeulin, "Reconstruction of the rose of directions from a digital microhologram of fibres," J. Microsc. 225, 283-292 (2007).
[CrossRef] [PubMed]

Frauel, Y.

Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
[CrossRef]

Garcia-Sucerquia, J.

Geladi, P.

S. Wold, K. Esbensen, and P. Geladi, "Principal component analysis," Chemom. Intell. Lab. Syst. 2, 37-52 (1987).
[CrossRef]

Javidi, B.

Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
[CrossRef]

Jericho, M. H.

Jericho, S. K.

Jeulin, D.

L. Denis, T. Fournel, C. Fournier, and D. Jeulin, "Reconstruction of the rose of directions from a digital microhologram of fibres," J. Microsc. 225, 283-292 (2007).
[CrossRef] [PubMed]

Kariwala, V.

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

Khanam, T.

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

Klages, P.

Kreuzer, H. J.

Lebrun, D.

M. Malek, S. Coëtmellec, D. Allano, and D. Lebrun, "Formulation of in-line holography process by a linear shift invariant system: Application to the measurement of fiber diameter," Opt. Commun. 223, 263-271 (2003).
[CrossRef]

D. Lebrun, A. Benkouider, S. Coëtmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11, 224-229 (2003).
[CrossRef] [PubMed]

Malek, M.

D. Lebrun, A. Benkouider, S. Coëtmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11, 224-229 (2003).
[CrossRef] [PubMed]

M. Malek, S. Coëtmellec, D. Allano, and D. Lebrun, "Formulation of in-line holography process by a linear shift invariant system: Application to the measurement of fiber diameter," Opt. Commun. 223, 263-271 (2003).
[CrossRef]

Matoba, O.

Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
[CrossRef]

Naughton, T. J.

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
[CrossRef]

Rajendran, A.

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

Sim, E.

O. C. Chee, V. R. Singh, E. Sim, and A. K. Asundi, "Development of a simple user-friendly commercial digital holographic microscope," Proc. SPIE 6912, 69120V (2008).
[CrossRef]

Singh, V. R.

O. C. Chee, V. R. Singh, E. Sim, and A. K. Asundi, "Development of a simple user-friendly commercial digital holographic microscope," Proc. SPIE 6912, 69120V (2008).
[CrossRef]

Tajahuerce, E.

Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
[CrossRef]

Wold, S.

S. Wold, K. Esbensen, and P. Geladi, "Principal component analysis," Chemom. Intell. Lab. Syst. 2, 37-52 (1987).
[CrossRef]

Xu, W.

Appl. Opt. (1)

Chemom. Intell. Lab. Syst. (1)

S. Wold, K. Esbensen, and P. Geladi, "Principal component analysis," Chemom. Intell. Lab. Syst. 2, 37-52 (1987).
[CrossRef]

J. Microsc. (1)

L. Denis, T. Fournel, C. Fournier, and D. Jeulin, "Reconstruction of the rose of directions from a digital microhologram of fibres," J. Microsc. 225, 283-292 (2007).
[CrossRef] [PubMed]

Opt. Commun. (1)

M. Malek, S. Coëtmellec, D. Allano, and D. Lebrun, "Formulation of in-line holography process by a linear shift invariant system: Application to the measurement of fiber diameter," Opt. Commun. 223, 263-271 (2003).
[CrossRef]

Opt. Express (1)

Proc. IEEE (1)

Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, "Three-dimensional imaging and processing using computational holographic imaging," Proc. IEEE 94, 636-653 (2006).
[CrossRef]

Proc. SPIE (3)

O. C. Chee, V. R. Singh, E. Sim, and A. K. Asundi, "Development of a simple user-friendly commercial digital holographic microscope," Proc. SPIE 6912, 69120V (2008).
[CrossRef]

E. Darakis, T. Khanam, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "Processing of digital holograms for size measurements of microparticles," Proc. SPIE 7155, 715524 (2008).
[CrossRef]

T. Khanam, E. Darakis, A. Rajendran, V. Kariwala, A. K. Asundi, and T. J. Naughton, "On-line digital holographic measurement of size and shape of microparticles for crystallization processes," Proc. SPIE 7155, 71551K (2008).
[CrossRef]

Other (1)

U. Schnars and W. Jueptner, Digital Holography: Digital Hologram Recording, Numerical Reconstruction, and Related Techniques, (Springer, Berlin, 2005).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1.
Fig. 1.

Digital holographic recording setup.

Fig. 2.
Fig. 2.

Three dimensional profiling of a tilted fiber: (a) recorded hologram; (b) a sample reconstruction; (c) thresholded reconstruction; and (d) point cloud with fitted line.

Fig. 3.
Fig. 3.

Measurements for single fiber. (a) Error in the measurement of the fiber’s orientation, and (b) relative error in the measured fiber length for different out-of-plane-tilts of the fiber.

Fig. 4.
Fig. 4.

(a) Hologram of a suspension of fibers in liquid; and (b) a sample reconstruction.

Fig. 5.
Fig. 5.

3D image of a volume of carbon fibers in suspension, viewed from two different directions and showing both the lines fitted by PCA (black lines), as well as the point clouds (colored dots).

Tables (1)

Tables Icon

Table 1. Tilt, length and location measurements of identified fibers in Fig. 5.

Metrics