Data reduction via the wavelet transform for the synthesis of the projection-slice filter

The projection-slice synthetic discriminant function, which was described earlier, reduces significant portions of the training data in the synthesis process as compared to the normal synthetic discriminant function filters. This enables the matching of particular features of each training image. The wavelet transform is utilized to further reduce the data in the synthesis stage and thereby reduce the data overlap in filters. The method for this type of filter synthesis is discussed and simulation results of the algorithms involved are presented to show that the relative performance of the newly synthesized filter is improved, while the data representing the training images has been reduced. © 2000 Society of Photo-Optical Instrumentation Engineers. (S0091-3286(00)01505-1)

[1]  A. VanderLugt,et al.  Optical Signal Processing , 1990 .

[2]  Don A. Gregory,et al.  Phase-only projection-slice filters for invariant optical pattern recognition , 1997, Defense, Security, and Sensing.

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

[4]  J L Horner,et al.  Metrics for assessing pattern-recognition performance. , 1992, Applied optics.

[5]  R. Bracewell.  Strip Integration in Radio Astronomy , 1956 .

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

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

[8]  R. Hingorani,et al.  An Investigation of Computerized Tomography by Direct Fourier Inversion and Optimum Interpolation , 1981 .

[9]  S. Mallat.  VI – Wavelet zoom , 1999 .

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

[11]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[12]  V R Riasati,et al.  Projection-slice synthetic discriminant functions for optical pattern recognition. , 1997, Applied optics.

[13]  H J Caulfield,et al.  Improved discrimination in optical character recognition. , 1969, Applied optics.

[14]  R M Mersereau,et al.  Direct Fourier transform techniques in 3-D image reconstruction. , 1976, Computers in biology and medicine.

[15]  R. M. Mersereau,et al.  Digital reconstruction of multidimensional signals from their projections , 1974 .

[16]  Dan E. Dudgeon,et al.  Multidimensional Digital Signal Processing , 1983 .