Abstract

We use the Viterbi decoding algorithm to resolve depth features beyond the nominal resolution limit of a volume holographic profilometry system. The formulation treats the truncated point-spread function as an intersymbol interference and uses surface constraints and transition constraints to reduce the computational complexity. A factor-of-5 improvement in resolution was obtained in our experimental demonstration.

© 2005 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Sinha, W. Sun, T. Shih, and G. Barbastathis, Appl. Opt. 43, 1533 (2004).
    [CrossRef] [PubMed]
  2. W. Liu, D. Psaltis, and G. Barbastathis, Opt. Lett. 27, 854 (2002).
    [CrossRef]
  3. W. Sun, A. Sinha, G. Barbastathis, and M. Neifeld, Opt. Lett. 30, 976 (2005).
    [CrossRef] [PubMed]
  4. G. Forney, Proc. IEEE 61, 268 (1973).
    [CrossRef]
  5. C. Miller, B. Hunt, M. Marcellin, and M. Neifeld, J. Opt. Soc. Am. A 17, 265 (2000).
    [CrossRef]

2005

2004

2002

2000

1973

G. Forney, Proc. IEEE 61, 268 (1973).
[CrossRef]

Barbastathis, G.

Forney, G.

G. Forney, Proc. IEEE 61, 268 (1973).
[CrossRef]

Hunt, B.

Liu, W.

Marcellin, M.

Miller, C.

Neifeld, M.

Psaltis, D.

Shih, T.

Sinha, A.

Sun, W.

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 (3)

Fig. 1
Fig. 1

(a) PR-VHI profilometry schematics. (b) Cross-section view of a holographic slice of a stepwise object with 2D spatially quantized mesh grids. (c) Binary-valued y z slice with a 3 × 9 ISI (shaded area). (d) Calculated ISI (99% energy) for a PR-VHI with f = 25 mm and a = 4 mm .

Fig. 2
Fig. 2

Numerical experiments that use a VA to improve the PR-VHI reconstruction of a simulated surface consist of three steps.

Fig. 3
Fig. 3

(a) Computer-aided design file of an MIT artifact; (b) reconstructed artifact of factor 5 superresolution with low error bits, (c) five consecutive raw images captured by a deliberately degraded PR-VHI.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

v x = Δ B f 1 ,
v y = Δ y f 1 f 2 ,
v z = Δ z FWHM ,
I ( m f , n ) = i = ( s 1 ) 2 ( s 1 ) 2 j = ( l 1 ) 2 ( l 1 ) 2 f ( m f + i , n + j ) h ( i , j ) + w ( n ) ,
I ( m , n ) = ( f h ) ( m , n ) + w ( m , n ) ,
f ̂ ( I ) = arg max f ̂ { p ( I f ̂ ) = m , n p [ I ( m , n ) ] f ̂ } .

Metrics