Abstract

A new method for removing periodic background patterns from pictures is presented. The basic spatial frequency composition of the pattern is determined from an estimate of the power spectrum of the picture. A convolutional restoration kernel is then created from a modified version of the power spectrum. The method is extremely effective and can be automated.

© 1983 Optical Society of America

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References

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  1. R. C. Gonzalez, P. Wintz, Digital Image Processing (Addison-Wesley, Reading, Mass., 1977).
  2. P. D. Welch, “The Use of the Fast Fourier Transform for the Estimation of Power Spectra,” IEEE Trans. Audio Electroacoust. AE-15, 70 (June1967).
    [CrossRef]
  3. E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).

1967 (1)

P. D. Welch, “The Use of the Fast Fourier Transform for the Estimation of Power Spectra,” IEEE Trans. Audio Electroacoust. AE-15, 70 (June1967).
[CrossRef]

Brigham, E. O.

E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).

Gonzalez, R. C.

R. C. Gonzalez, P. Wintz, Digital Image Processing (Addison-Wesley, Reading, Mass., 1977).

Welch, P. D.

P. D. Welch, “The Use of the Fast Fourier Transform for the Estimation of Power Spectra,” IEEE Trans. Audio Electroacoust. AE-15, 70 (June1967).
[CrossRef]

Wintz, P.

R. C. Gonzalez, P. Wintz, Digital Image Processing (Addison-Wesley, Reading, Mass., 1977).

IEEE Trans. Audio Electroacoust. (1)

P. D. Welch, “The Use of the Fast Fourier Transform for the Estimation of Power Spectra,” IEEE Trans. Audio Electroacoust. AE-15, 70 (June1967).
[CrossRef]

Other (2)

E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).

R. C. Gonzalez, P. Wintz, Digital Image Processing (Addison-Wesley, Reading, Mass., 1977).

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Figures (8)

Fig. 1
Fig. 1

512 × 512 digital image of a fingerprint on fabric.

Fig. 2
Fig. 2

Log power spectrum of Fig. 1. The power spectrum accurately describes the spatial frequency composition of the fabric background pattern.

Fig. 3
Fig. 3

Modified version of the power spectrum in Fig. 2. The central DC peak has been removed by subtraction of an angular average. Smaller Fourier coefficients have been set to zero.

Fig. 4
Fig. 4

Filtered version of Fig. 1, in which the periodic background has been effectively removed.

Fig. 5
Fig. 5

Image from a handheld mechanically scanned thermal imager.

Fig. 6
Fig. 6

Log power spectrum of Fig. 5.

Fig. 7
Fig. 7

Modified version of the power spectrum in Fig. 6.

Fig. 8
Fig. 8

Filtered version of Fig. 5.

Equations (2)

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ϕ c ( u , υ ) = 1 N | F [ w ( x , y ) · c i ( x , y ) ] | 2 .
k ( x , y ) = F 1 [ f ( u , υ ) ] .

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