Rotationally invariant pattern recognition by use of linear and nonlinear cascaded filters

Applied Optics

Volumn 44, Issue 20, 2005, Pages 4315-4322

  Wu, Ning ^a   Alcock, Robin D ^a   Halliwell, Neil A ^a   Coupland, Jeremy M ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CASCADE CONTROL SYSTEMS; FUNCTIONS; INVARIANCE; OPTICAL CORRELATION; OPTICAL FILTERS; PATTERN RECOGNITION; PROBLEM SOLVING; SIGNAL DETECTION;

CASCADED FILTERS; LINEAR FILTER; MUM ACERAGE CORRELATION ENERGY (MACE); ROTATION-INVARIANT;

NONLINEAR OPTICS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; CLUSTER ANALYSIS; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; EVALUATION; IMAGE ENHANCEMENT; MATHEMATICAL COMPUTING; METHODOLOGY; NONLINEAR SYSTEM; REPRODUCIBILITY; ROTATION; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; STATISTICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; CLUSTER ANALYSIS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; LINEAR MODELS; NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; ROTATION; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 22944476131     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.44.004315     Document Type: Article

References (18)

1. A. B. VanderLugt, "Signal detection by complex matched spatial filtering," IEEE Trans. Inf. Theory 10, 139-145 (1964).
2. B. V. K. Vijaya Kumar and C. Carroll, "Loss of optimality in cross correlators," J. Opt. Soc. Am. A 1, 392-397 (1984).
3. A. Mahalanobis, B. V. K. Vijaya Kumar, and D. Casasent, "Minimum average correlation energy filters," Appl. Opt. 26, 3633-3640 (1987).
4. B. V. K. Vijaya Kumar, "Minimum variance synthetic discrimination functions," J. Opt. Soc. Am. A 3, 1579-1584 (1986).
5. D. L. Flannerym, "Optimal trade-off distortion-tolerant constrained-modulation correlation filters," J. Opt. Soc. Am. A 12, 66-72 (1995).
6. B. Javidi, "Nonlinear joint power spectrum based optical correlation," Appl. Opt. 28, 2358-2367 (1989).
7. F. Dubois, "Nonlinear cascaded correlation processes to improve the performances of automatic spatial-frequency-selective filters in pattern recognition," Appl. Opt. 35, 4589-4597 (1996).
8. F. Dubois, "Automatic spatial frequency selection algorithm for pattern recognition by correlation," Appl. Opt. 32, 4365-4371 (1993).
9. S. Reed and J. M. Coupland, "Cascaded linear shift-invariant processors in optical pattern recognition," Appl. Opt. 40, 3843-3849 (2001).
10. S. Reed and J. M. Coupland, "Statistical performance of cascaded linear shift-invariant processing," Appl. Opt. 39, 5949-5955 (2000).
11. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
12. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge U. Press, 1992).
13. J. A. Nelder and R. Mead, "A simplex-method for function minimization," Comput. J. 7, 308-313 (1965).
14. F. S. Acton, Numerical Methods that Work (Mathematical Association of America, 1990), pp. 464-467.
15. S. Kirkpatrick, C. D. Gelatt, Jr., and M. P. Vecchi, "Optimization by simulated annealing," Science 220, 671-679 (1983).
16. R. Fletcher, Practical Methods of Optimization (Wiley, 1987).
17. W. K. Pratt, Digital Image Processing (Wiley, 1991).
18. B. V. K. Vijaya Kumar and L. Hassebrook, "Performance measures for correlation filters," Appl. Opt. 29, 2997-3006 (1990).