Invariance and Neural Nets

IEEE Transactions on Neural Networks

Volumn 2, Issue 5, 1991, Pages 498-508

  Barnard, Etienne ^a   Casasent, David ^b  

^a UNIVERSITY OF PRETORIA   (South Africa)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING - MILITARY APPLICATIONS; NEURAL NETWORKS - APPLICATIONS;

FEATURE SPACE CONSTRAINTS; INVARIANCE; NEURAL NET CLASSIFIERS; RANGE IMAGERY; ROTATIONAL INVARIANCE;

PATTERN RECOGNITION;

EID: 0026220510     PISSN: 10459227     EISSN: 19410093     Source Type: Journal    
DOI: 10.1109/72.134287     Document Type: Article

References (31)

1. R. P. Lippmann, “An introduction to computing with neural nets,” IEEE ASSP Magazine, vol. 2, pp. 4–22, Apr. 1987.
2. D. E. Rumelhart and J. L. McLelland, Eds. Parallel Distributed Processing. Cambridge, MA: MIT Press, 1986.
3. R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis. New York: Wiley, 1973.
4. R. P. Gorman and T. J. Sejnowski, “Analysis of hidden units in a layered network trained to classify sonar signals,” Neural Networks, vol. 1, pp. 75–90, 1988.
5. E. Barnard and D. Casasent, “A comparison between criterion functions for linear classifiers, with an application to neural nets,” IEEE Trans. Syst., Man, Cybern., vol. 19, Sept./Oct. 1989.
6. D. J. Burr, “Experiments on neural net recognition of spoken and written text,” IEEE Trans. Acoust., Speech, Signal Process., vol. 36, 1162–1168, July 1988.
7. E. Bienenstock and C. von der Malsburg, “A neural net for invariant pattern recognition,” Europh. Lett., vol. 4, pp. 121–126, July 1, 1987.
8. K. Fukushima, “Neocognitron: A self-organizing neural network model for a mechanism of pattern recognition unaffected by a shift in position,” Biol. Cybern., vol. 36, pp. 193–202, 1980.
9. C. L. Giles, R. D. Griffin, and T. Maxwell, “Encoding geometric invariances in higher-order neural networks,” in Neural Information Processing Systems, D. Z. Anderson, Ed. Denver, CO: AIP, 1988, pp. 301–309.
10. R. Winter and B. Widrow, “Madaline rule II: a training algorithm for neural networks,” in Proc. IEEE Int. Conf. Neural Networks (San Diego), July 1988, pp. I-401-I-408.
11. A. Waibel, T. Hanazawa, G. Hinton, K. Shikano, and K. J. Lang, “Phoneme recognition using time-delay neural networks,” IEEE Trans. Acoust., Speech, Signal Process., vol. 37, pp. 328–339, Mar. 1989.
12. D. E. Rumelhart, G. E. Hinton, and R. J. Williams, “Learning internal representations by error propagation,” in Parallel Distributed Processing. Cambridge, MA: MIT Press, 1986, ch. 8, pp. 318–362.
13. K. J. Lang and G. E. Hinton, “The development of the time-delay neural network architecture for speech recognition,” Tech. Rep. CMU-CS-88-152, Department of Computer Science, Carnegie Mellon University, 1988.
14. D. E. Glover, “An optical Fourier/electronic neurocomputer automated inspection system,” in Proc. IEEE Int. Conf. Neural Networks (San Diego), July 1988, pp. 1-569-1-576.
15. S. E. Troxel, S. K. Rogers, and M. Kabrisky, “The use of neural networks in PSRI target recognition,” in Proc. IEEE Int. Conf. Neural Networks (San Diego), July 1988, pp. I-593-I-600.
16. A. Khotanzad and J. H. Lu, “Distortion invariant character recognition by a multilayer perceptron and backpropagation learning,” in Proc. IEEE Int. Conf. Neural Networks (San Diego), July 1988, pp. I-625—I-632.
17. D. H. Ballard and C. M. Brown, Computer Vision. Englewood Cliffs, NJ: Prentice-Hall, 1982.
18. D. Marr, Vision. San Francisco: W. H. Freeman, 1982.
19. S. Liebowitz and D. Casasent, “Optical processing of range imagery for segmentation,” Opt. Comm., vol. 67, pp. 331–334, Aug. 1, 1988.
20. T. Kohonen, G. Barna, and R. Chrisley, “Statistical pattern recognition with neural nets: Benchmarking studies,” in Proc. IEEE Int. Conf. Neural Networks (San Diego), July 1988, pp. I-61-I-68.
21. S.-I. Amari, “Invariant structures of signal and feature spaces in pattern recognition problems,” RAAG Mem., vol. 4, pp. 553–566, 1968.
22. F. Sadjadi and E. L. Hall, “Three dimensional moment invariants,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-2, pp. 34–45, Mar. 1980.
23. K.-I. Kanatani, “Transformation of optical flow by camera rotation,” IEEE Trans. Pattern Anal. Machine Intel!., vol. 10, pp. 131–143, Mar. 1988.
24. D. Casasent, “Computer generated holograms in pattern recognition: A review,” Opt. Eng., vol. 24, pp. 724–730, Sept./Oct. 1985.
25. D. Casasent, “Unified synthetic discriminant function computational formulation,” Appl. Opt., vol. 23, pp. 1620–1627, May 1984.
26. Proc. Soc. Photo. Opt. Instr. Engr., vol. 1306, “Sensor Fusion III,” R. C. Harney, Ed., April 1990.
27. D. Lytle, “Laser radar gives both image and range,” Photonics Spectra, p. 74, Feb. 1991.
28. M. Hu, “Visual pattern recognition by moment invariants,” IRE Trans. Inform. Theory, vol. IT-8, pp. 179–187, Feb. 1962.
29. Y. S. Abu-Mostafa and D. Psaltis, “Image normalization by complex moments,” IEEE Trans. Pattern. Anal. Mach. Intell, vol. PAMI-7, pp. 46–55, Jan. 1985.
30. D. Zuk and M. Dell’eva, 3D Sensor for Autonomous Land Vehicle: Operation and Alignment Manual, Environmental Research Institute of Michigan, Ann Arbor, MI, 1985.
31. E. Barnard and D. Casasent, “Adaptive clustering optical neural net,” Appl. Opt., vol. 29, pp. 2603–2615, June 10, 1990.