Abstract

A technique for the simultaneous acquisition of spectral image information, which implies spectral and spatial intensity distributions of light sources, is described. With this technique projections of an intensity distribution of the source o(x, y, λ) onto the xy plane are detected simultaneously, and the original distribution is numerically reconstructed from them by using an algorithm of computed tomography. Five projections are obtained experimentally as shared images by means of an imaging system equipped with a transmission grating and detected by a monochromatic television camera. The spatial and spectral distributions of the objects are reconstructed with the multiplicative algebraic reconstruction technique.

© 1991 Optical Society of America

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References

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  1. K. Ito, Y. Ohtsuka, J. Opt. Soc. Am. A 3, 94 (1986).
    [CrossRef]
  2. R. Gordon, R. Bender, G. T. Herman, J. Theor. Biol. 29, 471 (1970).
    [CrossRef] [PubMed]
  3. A. Lent, in Image Analyses and Evaluation, R. Shaw, ed. (Society of Photographic and Scientific Engineers, Washington D.C., 1977), p. 249.

1986

1970

R. Gordon, R. Bender, G. T. Herman, J. Theor. Biol. 29, 471 (1970).
[CrossRef] [PubMed]

Bender, R.

R. Gordon, R. Bender, G. T. Herman, J. Theor. Biol. 29, 471 (1970).
[CrossRef] [PubMed]

Gordon, R.

R. Gordon, R. Bender, G. T. Herman, J. Theor. Biol. 29, 471 (1970).
[CrossRef] [PubMed]

Herman, G. T.

R. Gordon, R. Bender, G. T. Herman, J. Theor. Biol. 29, 471 (1970).
[CrossRef] [PubMed]

Ito, K.

Lent, A.

A. Lent, in Image Analyses and Evaluation, R. Shaw, ed. (Society of Photographic and Scientific Engineers, Washington D.C., 1977), p. 249.

Ohtsuka, Y.

J. Opt. Soc. Am. A

J. Theor. Biol.

R. Gordon, R. Bender, G. T. Herman, J. Theor. Biol. 29, 471 (1970).
[CrossRef] [PubMed]

Other

A. Lent, in Image Analyses and Evaluation, R. Shaw, ed. (Society of Photographic and Scientific Engineers, Washington D.C., 1977), p. 249.

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Figures (4)

Fig. 1
Fig. 1

Optical configuration for obtaining the projections of a spectral and spatial intensity distribution.

Fig. 2
Fig. 2

Schematic diagram of the relationship between the projections and the diffracted patterns.

Fig. 3
Fig. 3

(a) Diffracted image as the projections on the ground glass by a two-dimensional grating. A color slide is illuminated by a tungsten halogen lamp. Objects in each slide are a tomato (top left), a carrot (top right), a green pepper (bottom left), and a lemon (bottom right). (b) Images reconstructed from the five projections at wavelengths between 700 and 400 nm.

Fig. 4
Fig. 4

Spectra at a point (a) in the tomato and (b) in the lemon. The solid and the dashed curves are reconstructed from the three and five projections, respectively. The circles show the results measured by interference filters.

Equations (4)

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i ( x , y ) = 0 b ( λ ) [ o ( x , y , λ ) * g ( x , λ ) ] d λ .
g ( x , λ ) = a 0 δ ( x ) + a 1 δ ( x + λ f Λ 2 λ 2 ) + a 1 δ ( x λ f Λ 2 λ 2 ) ,
i ( x , y ) = a 0 0 b ( λ ) o ( x , y , λ ) d λ + a 1 × 0 b ( λ ) o ( x + λ f Λ 2 λ 2 , y , λ ) d λ + a 1 0 b ( λ ) o ( x λ f Λ 2 λ 2 , y , λ ) d λ .
i ( x , y ) a 0 0 b ( λ ) o ( x , y , λ ) d λ + a 1 0 b ( λ ) o ( x + λ f / Λ , y , λ ) d λ + a 1 0 b ( λ ) o ( x λ f / Λ , y , λ ) d λ .

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