Abstract

We present a technique for performing segmentation of macroscopic three-dimensional objects recorded using in-line digital holography. We numerically reconstruct a single perspective of each object at a range of depths. At each point in the digital wavefront we calculate variance about a neighborhood. The maximum variance at each point over all depths is thresholded to classify it as an object pixel or a background pixel. Segmentation results for objects of low and high contrast are presented.

© 2007 Optical Society of America

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    [CrossRef]

2006

2005

2004

M. Liebling and M. Usner, J. Opt. Soc. Am. A 21, 2424 (2004).
[CrossRef]

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A, Pure Appl. Opt. 6, 396 (2004).
[CrossRef]

2003

2002

1999

1997

1989

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

1987

L. Onural and P. D. Scott, Opt. Eng. 26, 1124 (1987).

Bevilacqua, F.

Callens, N.

Castro, A.

J. Maycock, B. M. Hennelly, J. B. McDonald, T. J. Naughton, Y. Frauel, A. Castro, and B. Javidi, "Reduction of speckle in digital holography by discrete Fourier filtering,"J. Opt. Soc. Am. A (to be published).

Coppola, G.

Cuche, E.

DaneshPanah, M.

De Nicola, S.

Depeursinge, C.

Dubois, F.

Fawcett, T.

T. Fawcett, Pattern Recogn. Lett. 27, 861 (2006).
[CrossRef]

Ferraro, P.

Finizio, A.

Forsyth, D. A.

D. A. Forsyth and J. Ponce, Computer Vision: A Modern Approach, 3rd ed. (Prentice-Hall, 2003).

Frauel, Y.

T. J. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, Appl. Opt. 41, 4124 (2002).
[CrossRef] [PubMed]

J. Maycock, B. M. Hennelly, J. B. McDonald, T. J. Naughton, Y. Frauel, A. Castro, and B. Javidi, "Reduction of speckle in digital holography by discrete Fourier filtering,"J. Opt. Soc. Am. A (to be published).

Gillespie, J.

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (Roberts and Company, 2005).

Hennelly, B. M.

J. Maycock, C. P. McElhinney, B. M. Hennelly, T. J. Naughton, J. B. McDonald, and B. Javidi, Appl. Opt. 45, 2975 (2006).
[CrossRef] [PubMed]

B. M. Hennelly and J. T. Sheridan, J. Opt. Soc. Am. A 22, 928 (2005).
[CrossRef]

J. Maycock, B. M. Hennelly, J. B. McDonald, T. J. Naughton, Y. Frauel, A. Castro, and B. Javidi, "Reduction of speckle in digital holography by discrete Fourier filtering,"J. Opt. Soc. Am. A (to be published).

Javidi, B.

Jin, H.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A, Pure Appl. Opt. 6, 396 (2004).
[CrossRef]

Jüptner, W. P. O.

U. Schnars and W. P. O. Jüptner, Digital Holography (Springer, 2004).

King, R.

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

Kreis, T.

T. Kreis, Handbook of Holographic Interferometry (Wiley-VCH, 2005).

Li, Y.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A, Pure Appl. Opt. 6, 396 (2004).
[CrossRef]

Liebling, M.

Ma, L.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A, Pure Appl. Opt. 6, 396 (2004).
[CrossRef]

Maycock, J.

J. Maycock, C. P. McElhinney, B. M. Hennelly, T. J. Naughton, J. B. McDonald, and B. Javidi, Appl. Opt. 45, 2975 (2006).
[CrossRef] [PubMed]

J. Maycock, B. M. Hennelly, J. B. McDonald, T. J. Naughton, Y. Frauel, A. Castro, and B. Javidi, "Reduction of speckle in digital holography by discrete Fourier filtering,"J. Opt. Soc. Am. A (to be published).

McDonald, J. B.

J. Maycock, C. P. McElhinney, B. M. Hennelly, T. J. Naughton, J. B. McDonald, and B. Javidi, Appl. Opt. 45, 2975 (2006).
[CrossRef] [PubMed]

J. Maycock, B. M. Hennelly, J. B. McDonald, T. J. Naughton, Y. Frauel, A. Castro, and B. Javidi, "Reduction of speckle in digital holography by discrete Fourier filtering,"J. Opt. Soc. Am. A (to be published).

McElhinney, C. P.

Naughton, T. J.

J. Maycock, C. P. McElhinney, B. M. Hennelly, T. J. Naughton, J. B. McDonald, and B. Javidi, Appl. Opt. 45, 2975 (2006).
[CrossRef] [PubMed]

T. J. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, Appl. Opt. 41, 4124 (2002).
[CrossRef] [PubMed]

J. Maycock, B. M. Hennelly, J. B. McDonald, T. J. Naughton, Y. Frauel, A. Castro, and B. Javidi, "Reduction of speckle in digital holography by discrete Fourier filtering,"J. Opt. Soc. Am. A (to be published).

Onural, L.

L. Onural and P. D. Scott, Opt. Eng. 26, 1124 (1987).

Peirattini, G.

Ponce, J.

D. A. Forsyth and J. Ponce, Computer Vision: A Modern Approach, 3rd ed. (Prentice-Hall, 2003).

Schnars, U.

U. Schnars and W. P. O. Jüptner, Digital Holography (Springer, 2004).

Schockaert, C.

Scott, P. D.

L. Onural and P. D. Scott, Opt. Eng. 26, 1124 (1987).

Sheridan, J. T.

Tajahuerce, E.

Usner, M.

Wang, H.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A, Pure Appl. Opt. 6, 396 (2004).
[CrossRef]

Yamaguchi, I.

Yourassowsky, C.

Zhang, T.

Appl. Opt.

J. Opt. A, Pure Appl. Opt.

L. Ma, H. Wang, Y. Li, and H. Jin, J. Opt. A, Pure Appl. Opt. 6, 396 (2004).
[CrossRef]

J. Opt. Soc. Am. A

J. Maycock, B. M. Hennelly, J. B. McDonald, T. J. Naughton, Y. Frauel, A. Castro, and B. Javidi, "Reduction of speckle in digital holography by discrete Fourier filtering,"J. Opt. Soc. Am. A (to be published).

M. Liebling and M. Usner, J. Opt. Soc. Am. A 21, 2424 (2004).
[CrossRef]

B. M. Hennelly and J. T. Sheridan, J. Opt. Soc. Am. A 22, 928 (2005).
[CrossRef]

Opt. Eng.

L. Onural and P. D. Scott, Opt. Eng. 26, 1124 (1987).

Opt. Express

Opt. Lett.

Pattern Recogn. Lett.

T. Fawcett, Pattern Recogn. Lett. 27, 861 (2006).
[CrossRef]

J. Gillespie and R. King, Pattern Recogn. Lett. 9, 19 (1989).
[CrossRef]

Other

D. A. Forsyth and J. Ponce, Computer Vision: A Modern Approach, 3rd ed. (Prentice-Hall, 2003).

U. Schnars and W. P. O. Jüptner, Digital Holography (Springer, 2004).

J. W. Goodman, Introduction to Fourier Optics (Roberts and Company, 2005).

T. Kreis, Handbook of Holographic Interferometry (Wiley-VCH, 2005).

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Figures (4)

Fig. 1
Fig. 1

Screw object DH: (a) numerical reconstruction, (b) variance plot for background and object regions.

Fig. 2
Fig. 2

Segmentation of screw object DH: (a) manual, (b) our DFF approach, (c) EM approach.

Fig. 3
Fig. 3

ROC graph for object segmentation using different block sizes.

Fig. 4
Fig. 4

Segmentation of knight object DH: (a) numerical reconstruction, (b) segmentation mask obtained, (c) segmented reconstruction.

Equations (7)

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U z ( x , y ) = i λ z exp ( i 2 π λ z ) H 0 ( x , y ) * exp [ i π ( x 2 + y 2 ) λ z ] ,
V z ( k , l ) = 1 n 2 x = k [ ( n 1 ) 2 ] k + [ ( n 1 ) 2 ] y = l [ ( n 1 ) 2 ] l + [ ( n 1 ) 2 ] [ I z ( x , y ) I z ( k , l ) ¯ ] 2 ,
I z ( k , l ) ¯ = 1 n 2 x = k [ ( n 1 ) 2 ] k + [ ( n 1 ) 2 ] y = l [ ( n 1 ) 2 ] l + [ ( n 1 ) 2 ] I z ( x , y ) ,
V max ( k , l ) = max z [ V z ( k , l ) ] .
SMask ( k , l ) = { 1 , if V max ( k , l ) τ 0 , if V max ( k , l ) < τ } ,
tp rate True positives Total number of positives
fp rate False positives Total number of negatives .

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