Abstract

The problem of detecting objects in noisy backgrounds is addressed. We derive detection filters by training a linear classifier, using features obtained from subimages corresponding to circular channels in the Fourier domain. The classifier weights approach the prewhitening matched filter when the classifier is trained for the detection of known objects in stationary noise. A simple form of rotation invariance is attained for considerably less computation than by the direct application of multiple matched filters. The method is demonstrated for the task of detecting simulated tumors in simulated nuclear medical images.

© 1997 Optical Society of America

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1994

R. N. Strickland, IEEE Trans. Med. Imag. 13, 491 (1994).

1992

J. Yao and H. H. Barrett, Proc. SPIE 1768, 161 (1992).

C. Goresnic and S. R. Rotman, Graph. Models Image Process. 54, 329 (1992).

J. P. Rolland and H. H. Barrett, J. Opt. Soc. Am. A 9, 649 (1992).

B. V. K. Vijaya Kumar, Appl. Opt. 31, 4773 (1992).

1987

1986

1931

H. Hotelling, Ann. Math. Stat. 2, 360 (1931).

Barrett, H. H.

Cohen, A.

A. Cohen, I. Daubechies, and J. C. Feauveau, AT&T Bell Lab. Tech. Rep. TM 11217–900529–07 (AT&T Bell Laboratories, Murray Hill, N.J., 1990).

Daubechies, I.

A. Cohen, I. Daubechies, and J. C. Feauveau, AT&T Bell Lab. Tech. Rep. TM 11217–900529–07 (AT&T Bell Laboratories, Murray Hill, N.J., 1990).

Feauveau, J. C.

A. Cohen, I. Daubechies, and J. C. Feauveau, AT&T Bell Lab. Tech. Rep. TM 11217–900529–07 (AT&T Bell Laboratories, Murray Hill, N.J., 1990).

Fiete, R. D.

Goresnic, C.

C. Goresnic and S. R. Rotman, Graph. Models Image Process. 54, 329 (1992).

Hotelling, H.

H. Hotelling, Ann. Math. Stat. 2, 360 (1931).

Kumar, B. V. K. Vijaya

Myers, K. J.

Rolland, J. P.

Rotman, S. R.

C. Goresnic and S. R. Rotman, Graph. Models Image Process. 54, 329 (1992).

Smith, W. E.

Strickland, R. N.

R. N. Strickland, IEEE Trans. Med. Imag. 13, 491 (1994).

Watson, A. B.

A. B. Watson, Comput. Vision Graphics Image Process. 39, 311 (1987).

Yao, J.

J. Yao and H. H. Barrett, Proc. SPIE 1768, 161 (1992).

Ann. Math. Stat.

H. Hotelling, Ann. Math. Stat. 2, 360 (1931).

Appl. Opt.

Comput. Vision Graphics Image Process.

A. B. Watson, Comput. Vision Graphics Image Process. 39, 311 (1987).

Graph. Models Image Process.

C. Goresnic and S. R. Rotman, Graph. Models Image Process. 54, 329 (1992).

IEEE Trans. Med. Imag.

R. N. Strickland, IEEE Trans. Med. Imag. 13, 491 (1994).

J. Opt. Soc. Am. A

Opt. Lett.

Proc. SPIE

J. Yao and H. H. Barrett, Proc. SPIE 1768, 161 (1992).

Other

A. Cohen, I. Daubechies, and J. C. Feauveau, AT&T Bell Lab. Tech. Rep. TM 11217–900529–07 (AT&T Bell Laboratories, Murray Hill, N.J., 1990).

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