Optimal correlation filters for images with signal-dependent noise

We address the design of optimal correlation filters for pattern detection and recognition in the presence of signal-dependent image noise sources. The particular examples considered are film-grain noise and speckle. Two basic approaches are investigated: (1) deriving the optimal matched filters for the signal-dependent noise models and comparing their performances with those derived for traditional signal-independent noise models and (2) first nonlinearly transforming the signal-dependent noise to signal-independent noise followed by the use of a classical filter matched to the transformed signal. We present both theoretical and computer simulation results that demonstrate the generally superior performance of the second approach in terms of the correlation peak signal-to-noise ratio.

[1]  H H Arsenault,et al.  Combined homomorphic and local-statistics processing for restoration of images degraded by signal-dependent noise. , 1984, Applied optics.

[2]  B Javidi,et al.  Optimum receiver design for pattern recognition with nonoverlapping target and scene noise. , 1993, Optics letters.

[3]  John F. Walkup,et al.  Optimal estimation in signal-dependent noise (A) , 1978 .

[4]  A A Sawchuk,et al.  Detection of low-contrast images in film-grain noise. , 1978, Applied optics.

[5]  J W Goodman,et al.  Nonlinear filtering in coherent optical systems through halftone screen processes. , 1975, Applied optics.

[6]  H. Arsenault,et al.  Transformation of film-grain noise into signal-independent additive Gaussian noise , 1981 .

[7]  H. Arsenault,et al.  Properties of speckle integrated with a finite aperture and logarithmically transformed , 1976 .

[8]  George Michael Morris.  Scene matching using photon-limited images , 1984 .

[9]  Alexander A. Sawchuk,et al.  Adaptive Noise Smoothing Filter for Images with Signal-Dependent Noise , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Jae Lim,et al.  Techniques For Speckle Noise Removal , 1981 .

[11]  Eamon Barrett,et al.  Detection in image dependent noise (Corresp.) , 1976, IEEE Trans. Inf. Theory.

[12]  John F. Walkup,et al.  Image Processing In Signal-Dependent Noise , 1974 .

[13]  B E Saleh,et al.  Transformation of image-signal-dependent noise into image-signal-independent noise. , 1981, Optics letters.

[14]  M Tur,et al.  When is speckle noise multiplicative? , 1982, Applied optics.

[15]  J F Walkup,et al.  Image restoration by transformation of signal-dependent noise to signal-independent noise. , 1983, Applied optics.

[16]  H. Arsenault,et al.  Integral expression for transforming signal-dependent noise into signal-independent noise. , 1981, Optics letters.