Selecting a composite correlation filter design: a survey and comparative study

Many composite correlation filter designs have been proposed for solving a wide variety of target detection and pattern recognition problems. Due to the large number of available designs, however, it is often unclear how to select the best design for a particular application. We present a theoretical survey and an empirical comparison of several popular composite correlation filter designs. Using a database of rotational target imagery, we show that some such filter designs appear to be better choices than others under computational and performance constraints. We compare filter performance in terms of noise tolerance, computational load, generalization ability, and distortion in order to provide a multifaceted examination of the characteristics of various filter designs.

[1]  B. V. K. Vijaya Kumar,et al.  Performance of composite correlation filters in fingerprint verification , 2004 .

[2]  Perrine Ruby,et al.  Psychology: Insight and the sleep committee , 2004, Nature.

[3]  Xin Li,et al.  Constrained quadratic correlation filters for target detection. , 2004, Applied optics.

[4]  David Casasent,et al.  Feature reduction and morphological processing for hyperspectral image data. , 2004, Applied optics.

[5]  B. V. K. Vijaya Kumar,et al.  Efficient design of advanced correlation filters for robust distortion-tolerant face recognition , 2003, Proceedings of the IEEE Conference on Advanced Video and Signal Based Surveillance, 2003..

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

[7]  Bhagavatula Vijaya Kumar,et al.  Performance of the extended maximum average correlation height (EMACH) filter and the polynomial distance classifier correlation filter (PDCCF) for multiclass SAR detection and classification , 2002, SPIE Defense + Commercial Sensing.

[8]  P. Réfrégier Filter design for optical pattern recognition: multicriteria optimization approach. , 1990, Optics letters.

[9]  A Mahalanobis,et al.  Optimal trade-off synthetic discriminant function filters for arbitrary devices. , 1994, Optics letters.

[10]  Bhagavatula Vijaya Kumar,et al.  Analysis of signal-to-noise ratio of polynomial correlation filters , 1999, Defense, Security, and Sensing.

[11]  B. V. K. Vijaya Kumar,et al.  Improving the false alarm capabilities of the maximum average correlation height correlation filter , 2000 .

[12]  D. Casasent,et al.  Minimum noise and correlation energy optical correlation filter. , 1992, Applied optics.

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

[14]  Jacob Rubinstein,et al.  Recognition of rotated images by invariant Karhunen–Loeve expansion , 1994 .

[15]  Donald W. Sweeney,et al.  Iterative technique for the synthesis of optical-correlation filters , 1986 .

[16]  B. V. K. Vijaya Kumar,et al.  Correlation filters with controlled scale response , 2006, IEEE Transactions on Image Processing.

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

[18]  A Mahalanobis,et al.  Distance-classifier correlation filters for multiclass target recognition. , 1996, Applied optics.

[19]  Bhagavatula Vijaya Kumar,et al.  Eigen-extended maximum average correlation height (EEMACH) filters for automatic target recognition , 2001 .

[20]  Yeong Kyeong Seong,et al.  Optimal-trade-off filters for noise robustness, peak sharpness and light efficiency in the nonoverlapping background noise , 2000 .

[21]  D Casasent,et al.  Multivariant technique for multiclass pattern recognition. , 1980, Applied optics.

[22]  A. Mahalanobis,et al.  Design and application of quadratic correlation filters for target detection , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[23]  B. V. Kumar,et al.  Linear phase coefficient composite filter banks for distortion-invariant optical pattern recognition , 1990 .

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

[25]  Michael Lee Bryant,et al.  Standard SAR ATR evaluation experiments using the MSTAR public release data set , 1998, Defense, Security, and Sensing.

[26]  David Casasent,et al.  Advanced In-Plane Rotation-Invariant Correlation Filters , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[27]  Abhijit Mahalanobis,et al.  Performance evaluation of quadratic correlation filters for target detection and discrimination in infrared imagery , 2004 .

[28]  David Casasent,et al.  MINACE filter classification algorithms for ATR using MSTAR data , 2005, SPIE Defense + Commercial Sensing.

[29]  B. V. K. Vijaya Kumar,et al.  Optimal tradeoff circular harmonic function correlation filter methods providing controlled in-plane rotation response , 2000, IEEE Trans. Image Process..

[30]  Donald W. Sweeney,et al.  Optical processor for recognition of three-dimensional targets viewed from any direction , 1988 .

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

[32]  Rajesh Shenoy,et al.  Eigen-MINACE SAR detection filters with improved capacity , 1998, Defense, Security, and Sensing.

[33]  B. V. K. Vijaya Kumar,et al.  A Bayesian Approach to Deformed Pattern Matching of Iris Images , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[34]  F Goudail,et al.  Optimal detection of a target with random gray levels on a spatially disjoint background noise. , 1996, Optics letters.

[35]  C Ferreira,et al.  Real filter based on Mellin radial harmonics for scale-invariant pattern recognition. , 1994, Applied optics.

[36]  Abhijit Mahalanobis,et al.  Comparative study of maximum average correlation height filter variants using ladar imagery , 2003 .

[37]  Mohamed I. Alkanhal,et al.  Polynomial distance classifier correlation filter for pattern recognition. , 2003, Applied optics.