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References

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  1. P. D. Rowley, J. Opt. Soc. Am. 59, 1496 (1969).
    [CrossRef]
  2. M. V. Berry, D. F. Gibbs, Proc. Roy. Soc. Lond. (London) A314, 143 (1970).
    [CrossRef]
  3. L. H. Tanner, J. Sci. Instrum. 3, 987 (1970).
    [CrossRef]
  4. R. D. Matulka, D. J. Collins, J. Appl. Phys. 42, 1109 (1971).
    [CrossRef]
  5. C. D. Maldonado, H. N. Olsen, J. Opt. Soc. Am. 56, 1305 (1966).
    [CrossRef]
  6. D. A. Linden, Proc. IRE 47, 1219 (1959).
    [CrossRef]
  7. G. Golub, Numerische Mathematik 7, 206 (1965).
    [CrossRef]
  8. C. M. Vest, D. W. Sweeney, Appl. Opt. 9, 2321 (1970).
    [CrossRef] [PubMed]

1971 (1)

R. D. Matulka, D. J. Collins, J. Appl. Phys. 42, 1109 (1971).
[CrossRef]

1970 (3)

M. V. Berry, D. F. Gibbs, Proc. Roy. Soc. Lond. (London) A314, 143 (1970).
[CrossRef]

L. H. Tanner, J. Sci. Instrum. 3, 987 (1970).
[CrossRef]

C. M. Vest, D. W. Sweeney, Appl. Opt. 9, 2321 (1970).
[CrossRef] [PubMed]

1969 (1)

1966 (1)

1965 (1)

G. Golub, Numerische Mathematik 7, 206 (1965).
[CrossRef]

1959 (1)

D. A. Linden, Proc. IRE 47, 1219 (1959).
[CrossRef]

Berry, M. V.

M. V. Berry, D. F. Gibbs, Proc. Roy. Soc. Lond. (London) A314, 143 (1970).
[CrossRef]

Collins, D. J.

R. D. Matulka, D. J. Collins, J. Appl. Phys. 42, 1109 (1971).
[CrossRef]

Gibbs, D. F.

M. V. Berry, D. F. Gibbs, Proc. Roy. Soc. Lond. (London) A314, 143 (1970).
[CrossRef]

Golub, G.

G. Golub, Numerische Mathematik 7, 206 (1965).
[CrossRef]

Linden, D. A.

D. A. Linden, Proc. IRE 47, 1219 (1959).
[CrossRef]

Maldonado, C. D.

Matulka, R. D.

R. D. Matulka, D. J. Collins, J. Appl. Phys. 42, 1109 (1971).
[CrossRef]

Olsen, H. N.

Rowley, P. D.

Sweeney, D. W.

Tanner, L. H.

L. H. Tanner, J. Sci. Instrum. 3, 987 (1970).
[CrossRef]

Vest, C. M.

Appl. Opt. (1)

J. Appl. Phys. (1)

R. D. Matulka, D. J. Collins, J. Appl. Phys. 42, 1109 (1971).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Sci. Instrum. (1)

L. H. Tanner, J. Sci. Instrum. 3, 987 (1970).
[CrossRef]

Numerische Mathematik (1)

G. Golub, Numerische Mathematik 7, 206 (1965).
[CrossRef]

Proc. IRE (1)

D. A. Linden, Proc. IRE 47, 1219 (1959).
[CrossRef]

Proc. Roy. Soc. Lond. (London) (1)

M. V. Berry, D. F. Gibbs, Proc. Roy. Soc. Lond. (London) A314, 143 (1970).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Computer simulation of the technique, (a) Offset Gaussian function used as trial distribution. (b) Reconstruction of (a) using thirty-six sample points and 102 rays with a 154° range-of-vie wing angle.

Fig. 2
Fig. 2

Experimental result. Temperature distribution horizontal plane above a heated wire.

Equations (6)

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f ( x , y ) d S i = ϕ i
f ( x , y ) = m = 0 n = 0 f ( l m , l n ) sinc ( x - l m l ) sinc ( y - l n l ) .
m = 0 n = 0 [ f ( l m , l n ) - sinc ( x l ) × sinc ( a i x + b l ) ( ( 1 + a i 2 ) ) 1 2 d x ] = ϕ i .
m = 0 n = 0 f ( l m , l n ) W i ( m , n ) = ϕ i ,
W i ( m , n ) = [ ( 1 + a i 2 ) 1 2 l sinc ( b + a i m l - n l l ) for a i 1 ( 1 + a i 2 ) 1 2 l a i sinc ( b + a i m l - n l a i l ) for 1 < a i < l sinc ( C i - m l l ) for a i = ] .
f ( x , y ) = A exp [ - ( x - μ x σ x ) 2 - ( y - μ y σ y ) 2 ] ,

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