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  1. P. S. Theocarus, Exp. Mech. 5, 153(1964).
    [CrossRef]
  2. B. P. Hildebrand, K. Haines, J. Opt. Soc. Amer. 57, 155 (1967).
    [CrossRef]
  3. N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
    [CrossRef]
  4. S. H. Rowe, W. T. Welford, Nature 216, 786(1967).
    [CrossRef]
  5. T. Tsuruta, Y. Itoh, Opt. Commun. 1, 34(1969).
    [CrossRef]
  6. D. M. Meadows, W. O. Johnson, J. B. Allen, Appl. Opt. 9, 942(1970).
    [CrossRef] [PubMed]
  7. T. Tsuruta, Y. Itoh, Japan. J. Appl. Phys. 8, 96(1969).
    [CrossRef]

1970 (1)

1969 (2)

T. Tsuruta, Y. Itoh, Japan. J. Appl. Phys. 8, 96(1969).
[CrossRef]

T. Tsuruta, Y. Itoh, Opt. Commun. 1, 34(1969).
[CrossRef]

1968 (1)

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

1967 (2)

S. H. Rowe, W. T. Welford, Nature 216, 786(1967).
[CrossRef]

B. P. Hildebrand, K. Haines, J. Opt. Soc. Amer. 57, 155 (1967).
[CrossRef]

1964 (1)

P. S. Theocarus, Exp. Mech. 5, 153(1964).
[CrossRef]

Allen, J. B.

Haines, K.

B. P. Hildebrand, K. Haines, J. Opt. Soc. Amer. 57, 155 (1967).
[CrossRef]

Hildebrand, B. P.

B. P. Hildebrand, K. Haines, J. Opt. Soc. Amer. 57, 155 (1967).
[CrossRef]

Itoh, Y.

T. Tsuruta, Y. Itoh, Japan. J. Appl. Phys. 8, 96(1969).
[CrossRef]

T. Tsuruta, Y. Itoh, Opt. Commun. 1, 34(1969).
[CrossRef]

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

Johnson, W. O.

Matsuda, K.

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

Meadows, D. M.

Rowe, S. H.

S. H. Rowe, W. T. Welford, Nature 216, 786(1967).
[CrossRef]

Shiotake, N.

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

Takeya, N.

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

Theocarus, P. S.

P. S. Theocarus, Exp. Mech. 5, 153(1964).
[CrossRef]

Tsujiuchi, J.

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

Tsuruta, T.

T. Tsuruta, Y. Itoh, Opt. Commun. 1, 34(1969).
[CrossRef]

T. Tsuruta, Y. Itoh, Japan. J. Appl. Phys. 8, 96(1969).
[CrossRef]

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

Welford, W. T.

S. H. Rowe, W. T. Welford, Nature 216, 786(1967).
[CrossRef]

Appl. Opt. (1)

Exp. Mech. (1)

P. S. Theocarus, Exp. Mech. 5, 153(1964).
[CrossRef]

J. Opt. Soc. Amer. (1)

B. P. Hildebrand, K. Haines, J. Opt. Soc. Amer. 57, 155 (1967).
[CrossRef]

Japan. J. Appl. Phys. (2)

N. Shiotake, T. Tsuruta, Y. Itoh, J. Tsujiuchi, N. Takeya, K. Matsuda, Japan. J. Appl. Phys. 7, 904(1968).
[CrossRef]

T. Tsuruta, Y. Itoh, Japan. J. Appl. Phys. 8, 96(1969).
[CrossRef]

Nature (1)

S. H. Rowe, W. T. Welford, Nature 216, 786(1967).
[CrossRef]

Opt. Commun. (1)

T. Tsuruta, Y. Itoh, Opt. Commun. 1, 34(1969).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Experimental arrangement for projecting closely spaced equidistant straight fringes from the oblique direction upon a film incorporated into a camera. (b) Geometry illustrating the projection of fringes.

Fig. 2
Fig. 2

Optical system for production of moiré fringes.

Fig. 3
Fig. 3

Moiré patterns (a), (b), and (c) show fringes of different orientation and spacing of an identical frame preceding No. 1 as indicated at the edge of a film of Neopan SS (Fuji Film Co.). Photograph (d) shows a pattern of a No. 5 frame. The spacing of fringes represents 0.015 mm of height variation.

Fig. 4
Fig. 4

Height contour map obtained from three pictures (a), (b), and (c) of Fig. 3.

Equations (5)

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

I 0 ( x , y ) = 1 + cos ( 2 π p x + Δ 0 ) ,
I 1 ( x , y ) = 1 + cos { 2 π p [ x + tan α · h ( x , y ) ] + Δ 1 } ,
I 2 ( x , y ) = 1 + cos [ 2 π p · tan α · h ( x , y ) + Δ 1 - Δ 2 + 2 π p x 0 ] .
I 2 ( x , y ) = 1 + cos [ 2 π p · tan α · h ( x , y ) + 2 π p β x + Δ 1 - Δ 2 + 2 π p x 0 ] ,
X = - p tan α · h ( x , y ) .

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