Wavelet packet correlation methods in biometrics

We introduce wavelet packet correlation filter classifiers. Correlation filters are traditionally designed in the image domain by minimization of some criterion function of the image training set. Instead, we perform classification in wavelet spaces that have training set representations that provide better solutions to the optimization problem in the filter design. We propose a pruning algorithm to find these wavelet spaces by using a correlation energy cost function, and we describe a match score fusion algorithm for applying the filters trained across the packet tree. The proposed classification algorithm is suitable for any object-recognition task. We present results by implementing a biometric recognition system that uses the NIST 24 fingerprint database, and show that applying correlation filters in the wavelet domain results in considerable improvement of the standard correlation filter algorithm.

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

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

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

[4]  P Refregier Optimal trade-off filters for noise robustness, sharpness of the correlation peak, and Horner efficiency. , 1991, Optics letters.

[5]  Jelena Kovacevic,et al.  Wavelets and Subband Coding , 2013, Prentice Hall Signal Processing Series.

[6]  B. V. K. Vijaya Kumar,et al.  Spatial frequency domain image processing for biometric recognition , 2002, Proceedings. International Conference on Image Processing.

[7]  Abhijit Mahalanobis,et al.  Object recognition in subband transform-compressed images by use of correlation filters. , 2003, Applied optics.

[8]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[9]  Ronald R. Coifman,et al.  Wavelet analysis and signal processing , 1990 .

[10]  S. Mallat A wavelet tour of signal processing , 1998 .

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

[12]  Emmanuel J. Candès,et al.  Ridgelets and their Derivatives: Representation of Images with Edges , 2000 .

[13]  B V Kumar,et al.  Tutorial survey of composite filter designs for optical correlators. , 1992, Applied optics.

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