Abstract

We propose an annular-aperture-based defocusing technique for three-dimensional (3D) particle metrology from a single camera view. This simple configuration has high optical efficiency and the ability to deal with overlapped defocused images. Initial results show that an uncertainty in depth of 23μm can be achieved over a range of 10mm for macroscopic systems. This method can also be applied in microscopy for the measurement of fluorescently doped microparticles, thus providing a promising solution for 3D flow metrology at both macroscales and microscales.

© 2008 Optical Society of America

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2006 (5)

G. Elsinga, F. Scarano, B. Wieneke, and B. W. van Oudheusden, Exp. Fluids 41, 933 (2006).
[CrossRef]

S. Y. Yoon and K. C. Kim, Meas. Sci. Technol. 17, 2897 (2006).
[CrossRef]

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

C. E. Towers, D. P. Towers, H. I. Cambell, S. Zhang, and A. H. Greenaway, Opt. Lett. 31, 1220 (2006).
[CrossRef] [PubMed]

S. Djidel, J. K. Gansel, H. I. Campbell, and A. H. Greenaway, Opt. Express 14, 8269 (2006).
[CrossRef] [PubMed]

2002 (1)

D. H. Barnhart, N. A. Halliwell, and J. M. Coupland, Proc. R. Soc. London, Ser. A 458, 2083 (2002).
[CrossRef]

1995 (1)

K. D. Hinsch, Meas. Sci. Technol. 6, 742 (1995).
[CrossRef]

1992 (1)

C. E. Willert and M. Gharib, Exp. Fluids 12, 353 (1992).
[CrossRef]

1991 (1)

M. P. Arroyo and C. A. Greated, Meas. Sci. Technol. 2, 1181 (1991).
[CrossRef]

1986 (1)

1972 (1)

R. D. Duda and P. E. Hart, Commun. ACM 15, 11 (1972).
[CrossRef]

1960 (1)

1953 (1)

E. H. Linfoot and E. Wolf, Proc. Phys. Soc. London, Sect. B 66, 145 (1953).
[CrossRef]

Angarita-Jaimes, N. C.

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

Arroyo, M. P.

M. P. Arroyo and C. A. Greated, Meas. Sci. Technol. 2, 1181 (1991).
[CrossRef]

Barnhart, D. H.

D. H. Barnhart, N. A. Halliwell, and J. M. Coupland, Proc. R. Soc. London, Ser. A 458, 2083 (2002).
[CrossRef]

Blais, F.

Cambell, H. I.

Campbell, H. I.

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

S. Djidel, J. K. Gansel, H. I. Campbell, and A. H. Greenaway, Opt. Express 14, 8269 (2006).
[CrossRef] [PubMed]

Chennaoui, M.

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

Coupland, J. M.

D. H. Barnhart, N. A. Halliwell, and J. M. Coupland, Proc. R. Soc. London, Ser. A 458, 2083 (2002).
[CrossRef]

Djidel, S.

Duda, R. D.

R. D. Duda and P. E. Hart, Commun. ACM 15, 11 (1972).
[CrossRef]

Elsinga, G.

G. Elsinga, F. Scarano, B. Wieneke, and B. W. van Oudheusden, Exp. Fluids 41, 933 (2006).
[CrossRef]

Frigerio, F.

J. Rohály, J. Lammerding, F. Frigerio, and D. P. Hart, presented at the 4th International Symposium on Particle Image Velocimetry, Gottingen, Germany, September 17-19, 2001.

Gansel, J. K.

Gharib, M.

C. E. Willert and M. Gharib, Exp. Fluids 12, 353 (1992).
[CrossRef]

Greated, C. A.

M. P. Arroyo and C. A. Greated, Meas. Sci. Technol. 2, 1181 (1991).
[CrossRef]

Greenaway, A. H.

Halliwell, N. A.

D. H. Barnhart, N. A. Halliwell, and J. M. Coupland, Proc. R. Soc. London, Ser. A 458, 2083 (2002).
[CrossRef]

Hart, D. P.

J. Rohály, J. Lammerding, F. Frigerio, and D. P. Hart, presented at the 4th International Symposium on Particle Image Velocimetry, Gottingen, Germany, September 17-19, 2001.

Hart, P. E.

R. D. Duda and P. E. Hart, Commun. ACM 15, 11 (1972).
[CrossRef]

Hinsch, K. D.

K. D. Hinsch, Meas. Sci. Technol. 6, 742 (1995).
[CrossRef]

Kim, K. C.

S. Y. Yoon and K. C. Kim, Meas. Sci. Technol. 17, 2897 (2006).
[CrossRef]

Lammerding, J.

J. Rohály, J. Lammerding, F. Frigerio, and D. P. Hart, presented at the 4th International Symposium on Particle Image Velocimetry, Gottingen, Germany, September 17-19, 2001.

Linfoot, E. H.

E. H. Linfoot and E. Wolf, Proc. Phys. Soc. London, Sect. B 66, 145 (1953).
[CrossRef]

McGhee, E.

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

Rioux, M.

Rohály, J.

J. Rohály, J. Lammerding, F. Frigerio, and D. P. Hart, presented at the 4th International Symposium on Particle Image Velocimetry, Gottingen, Germany, September 17-19, 2001.

Scarano, F.

G. Elsinga, F. Scarano, B. Wieneke, and B. W. van Oudheusden, Exp. Fluids 41, 933 (2006).
[CrossRef]

Towers, C. E.

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

C. E. Towers, D. P. Towers, H. I. Cambell, S. Zhang, and A. H. Greenaway, Opt. Lett. 31, 1220 (2006).
[CrossRef] [PubMed]

Towers, D. P.

C. E. Towers, D. P. Towers, H. I. Cambell, S. Zhang, and A. H. Greenaway, Opt. Lett. 31, 1220 (2006).
[CrossRef] [PubMed]

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

van Oudheusden, B. W.

G. Elsinga, F. Scarano, B. Wieneke, and B. W. van Oudheusden, Exp. Fluids 41, 933 (2006).
[CrossRef]

Welford, W. T.

Wieneke, B.

G. Elsinga, F. Scarano, B. Wieneke, and B. W. van Oudheusden, Exp. Fluids 41, 933 (2006).
[CrossRef]

Willert, C. E.

C. E. Willert and M. Gharib, Exp. Fluids 12, 353 (1992).
[CrossRef]

Wolf, E.

E. H. Linfoot and E. Wolf, Proc. Phys. Soc. London, Sect. B 66, 145 (1953).
[CrossRef]

Yoon, S. Y.

S. Y. Yoon and K. C. Kim, Meas. Sci. Technol. 17, 2897 (2006).
[CrossRef]

Zhang, S.

C. E. Towers, D. P. Towers, H. I. Cambell, S. Zhang, and A. H. Greenaway, Opt. Lett. 31, 1220 (2006).
[CrossRef] [PubMed]

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

Commun. ACM (1)

R. D. Duda and P. E. Hart, Commun. ACM 15, 11 (1972).
[CrossRef]

Exp. Fluids (3)

G. Elsinga, F. Scarano, B. Wieneke, and B. W. van Oudheusden, Exp. Fluids 41, 933 (2006).
[CrossRef]

C. E. Willert and M. Gharib, Exp. Fluids 12, 353 (1992).
[CrossRef]

N. C. Angarita-Jaimes, E. McGhee, M. Chennaoui, H. I. Campbell, S. Zhang, C. E. Towers, A. H. Greenaway, and D. P. Towers, Exp. Fluids 41, 881 (2006).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

Meas. Sci. Technol. (3)

K. D. Hinsch, Meas. Sci. Technol. 6, 742 (1995).
[CrossRef]

M. P. Arroyo and C. A. Greated, Meas. Sci. Technol. 2, 1181 (1991).
[CrossRef]

S. Y. Yoon and K. C. Kim, Meas. Sci. Technol. 17, 2897 (2006).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Proc. Phys. Soc. London, Sect. B (1)

E. H. Linfoot and E. Wolf, Proc. Phys. Soc. London, Sect. B 66, 145 (1953).
[CrossRef]

Proc. R. Soc. London, Ser. A (1)

D. H. Barnhart, N. A. Halliwell, and J. M. Coupland, Proc. R. Soc. London, Ser. A 458, 2083 (2002).
[CrossRef]

Other (1)

J. Rohály, J. Lammerding, F. Frigerio, and D. P. Hart, presented at the 4th International Symposium on Particle Image Velocimetry, Gottingen, Germany, September 17-19, 2001.

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Figures (4)

Fig. 1
Fig. 1

Schematic of optical setup for 3D PIV using annular aperture.

Fig. 2
Fig. 2

Annular images and processing: (a) images at different depth positions, (b) average radial profile with the inner and outer diameters of the annulus separated by local maxima. From the inner and outer profiles, two spherical images are reconstructed and the diameters of these are calculated.

Fig. 3
Fig. 3

(a) Combined image of multiple fluorescently doped microparticles from a microscope using an annular aperture. (b) Identification of annular images by the CHT where each edge is indicated by a broken circle.

Fig. 4
Fig. 4

(a) and (b) Two views of a 3C3D vector field reconstructed from an image pair processed via the CHT and inner–outer diameter analysis.

Equations (2)

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D im = ( u 0 u 1 ) f ( u 0 f ) u 1 D av ,
d ( D im ) d ( u 1 ) = D av u 0 f ( u 0 f ) u 1 2 .

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