Abstract

A new (to our knowledge) multiperspective 3D imaging architecture is proposed that uses imagers distributed along a common optical axis. In this axially distributed sensing method, either a single imager is translated along its optical axis or objects are moved parallel to the optical axis of a single imager. The 3D information collection capability of the proposed architecture is analyzed and a computational 3D reconstruction algorithm based on ray back-projection is proposed. It is shown analytically and experimentally that the collection capacity of this architecture is not uniform over the field of view. Experimental results are presented to verify the proposed approach. We believe this is the first report on 3D sensing and imaging with axially distributed sensing.

© 2009 Optical Society of America

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References

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  1. T. Okoshi, Three-Dimensional Imaging Techniques (Academic, 1976).
  2. S.Benton, ed., Selected Papers on Three-Dimensional Displays (SPIE, 2001).
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]

2008

2006

A. Stern and B. Javidi, Proc. IEEE 94, 591 (2006).
[CrossRef]

DaneshPanah, M.

Javidi, B.

Maehara, S.

Martinez-Corral, M.

Martinez-Cuenca, R.

Matoba, O.

McManamon, P.

P. McManamon, in 15th Annual AESS/IEEE, Dayton Section Symposium (IEEE, 1998), p. 53.

Navarro, H.

Nitta, K.

Okoshi, T.

T. Okoshi, Three-Dimensional Imaging Techniques (Academic, 1976).

Saavedra, G.

Stern, A.

A. Stern and B. Javidi, Proc. IEEE 94, 591 (2006).
[CrossRef]

Watson, E. A.

Appl. Opt.

Opt. Express

Proc. IEEE

A. Stern and B. Javidi, Proc. IEEE 94, 591 (2006).
[CrossRef]

Other

P. McManamon, in 15th Annual AESS/IEEE, Dayton Section Symposium (IEEE, 1998), p. 53.

T. Okoshi, Three-Dimensional Imaging Techniques (Academic, 1976).

S.Benton, ed., Selected Papers on Three-Dimensional Displays (SPIE, 2001).

B.Javidi, F.Okano, and J.Son, eds., Three Dimensional Imaging, Visualization, and Display Technology (Springer, 2008).

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Figures (3)

Fig. 1
Fig. 1

Optical pickup process for the proposed axially distributed sensing 3D imaging architecture.

Fig. 2
Fig. 2

Elemental images taken to demonstrate the axially distributed sensing 3D imaging method. (a) Elemental image closest ( k = 0 ) to the scene, and (b) elemental image farthest ( k = 40 ) from the scene.

Fig. 3
Fig. 3

Computational plane-by-plane reconstruction at z 0 = (a) 435 mm , where the car is in focus; (b) 575 mm , where the transparency with concentric rings is in focus; (c) 670 mm , where the police car is in focus; and (d) 805 mm , where the fire truck is in focus.

Equations (5)

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ω i , j = tan 1 ( r Δ z i , j r 2 + z i 2 + z i Δ z i , j ) for i = 0 , , K 2 and j = i + 1 , , K 1 ,
Ω = tan 1 ( r s r 2 + z 0 2 + z 0 s ) ,
min Δ z i , j = μ z i 2 μ z i + r g .
M ̃ k = z k g = z 0 g × z k z 0 = M c × M k .
I z 0 ( x , y ) = 1 K k = 0 K 1 I k ( x M k , y M k ) , with M k = z k z 0 ,

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