Design of correlation filters for pattern recognition using a noisy reference

Abstract We present the design of correlation filters for detection of a target in a noisy input scene when the object of interest is given in a noisy reference image. The target signal, shape and location in the reference image are assumed to be unknown. Two signal models are considered for the input scene: additive and nonoverlapping. The design of the filters consists of automated estimation of needed parameters from a noisy reference image and maximization of the peak-to-output energy ratio criterion. Two filter variants are proposed. The matching error metric is used to determine the regions of the parameter space where each filter variant performs better. Computer simulation results obtained with the proposed filters are presented and evaluated in terms of discrimination capability, location errors, and tolerance to input noise.

[1]  Tomaso A. Poggio,et al.  A Trainable System for Object Detection , 2000, International Journal of Computer Vision.

[2]  David G. Stork,et al.  Pattern Classification , 1973 .

[3]  L. P. IAroslavskiĭ,et al.  Digital holography and digital image processing : principles, methods, algorithms , 2010 .

[4]  Philippe Réfrégier,et al.  Location of target with random gray levels in correlated background with optimal processors and preprocessings , 1997 .

[5]  Vitaly Kober,et al.  Adaptive synthetic discriminant function filters for pattern recognition , 2006 .

[6]  Vitaly Kober,et al.  Nonlinear synthetic discriminant function filters for illumination-invariant pattern recognition , 2008 .

[7]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[8]  Vitaly Kober,et al.  Accuracy of location measurement of a noisy target in a nonoverlapping background , 1996 .

[9]  A. B. Vander Lugt,et al.  Signal detection by complex spatial filtering , 1964, IEEE Trans. Inf. Theory.

[10]  Jian Li,et al.  Generalized optimum receiver for pattern recognition with multiplicative, additive, and nonoverlapping background noise , 1998 .

[11]  B. V. Vijaya Kumar,et al.  Minimum-variance synthetic discriminant functions , 1986 .

[12]  B. Kumar,et al.  Performance measures for correlation filters. , 1990, Applied optics.

[13]  Anil K. Jain Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.

[14]  Kanti V. Mardia,et al.  A Spatial Thresholding Method for Image Segmentation , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  Robert N. McDonough,et al.  Detection of signals in noise , 1971 .

[16]  J. Horner,et al.  Phase-only matched filtering. , 1984, Applied optics.

[17]  Bahram Javidi,et al.  Design of filters to detect a noisy target in nonoverlapping background noise , 1994 .

[18]  Vitaly Kober,et al.  Pattern recognition with an adaptive joint transform correlator. , 2006, Applied optics.

[19]  Vitaly Kober,et al.  Adaptive composite filters for pattern recognition in linearly degraded and noisy scenes , 2008 .

[20]  B Javidi,et al.  Performance of minimum-mean-square-error filters for spatially nonoverlapping target and input-scene noise. , 1994, Applied optics.

[21]  L A Romero,et al.  Normalized correlation for pattern recognition. , 1991, Optics letters.

[22]  B. V. Vijaya Kumar,et al.  Unconstrained correlation filters. , 1994, Applied optics.

[23]  B. V. K. Vijaya Kumar,et al.  Correlation filters minimizing peak location errors , 1992 .

[24]  Vitaly Kober,et al.  Design of correlation filters for recognition of linearly distorted objects in linearly degraded scenes. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  L. P. Yaroslavsky,et al.  III The Theory of Optimal Methods for Localization of Objects in Pictures , 1993 .

[26]  B. V. K. Vijaya Kumar,et al.  Correlation Pattern Recognition , 2002 .

[27]  M. Shah,et al.  Object tracking: A survey , 2006, CSUR.

[28]  D Casasent,et al.  Unified synthetic discriminant function computational formulation. , 1984, Applied optics.

[29]  M. Kruer,et al.  Influence Of Nonuniformity On Infrared Focal Plane Array Performance , 1985 .

[30]  B Javidi,et al.  Optimum receivers for pattern recognition in the presence of Gaussian noise with unknown statistics. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[31]  Philippe Réfrégier,et al.  Statistical Image Processing Techniques for Noisy Images: An Application-Oriented Approach , 2003 .

[32]  D. Casasent,et al.  Minimum average correlation energy filters. , 1987, Applied optics.