Quadratic Gabor filters for object detection

IEEE Transactions on Image Processing

Volumn 10, Issue 2, 2001, Pages 218-230

  Weber, David M ^a,b   Casasent, David P ^a,c  

^a IEEE

^b Stone Three Signal Processing   (South Africa)

^c CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; INFRARED IMAGING; NEURAL NETWORKS; OBJECT RECOGNITION;

LINEAR DECISION FILTERS; QUADRATIC GABOR FILTERS;

DIGITAL FILTERS;

EID: 0035248926     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.902287     Document Type: Article

References (23)

1. D. Weber and D. Casasent, "Fusion and optimized Gabor filter design for object detection," in Intelligent Robots Computer Vision XIV: Algorithms, Techniques, Active Vision, Materials Handling, vol. 2588, Oct. 1995, pp. 662-675.
2. A. Iyer and D. Casasent, "New basis function distortion invariant detection filters," in Photonics Processors, Neural Networks, Memories II, vol. 2297, July 1994, pp. 4-9.
3. D. Casasent and J.-S. Smokelin, "Neural net design of macro Gabor wavelet filters for distortion-invariant object detection in clutter," Opt. Eng., vol. 33, pp. 2264-2271, July 1994.
4. R. Mehrotra, K. R. Namuduru, and N. Ranganathan, "Gabor filter-based edge detection," Pattern Recognit., vol. 25, pp. 1479-1494, 1992.
5. D. Weber and D. Casasent, "The extended piecewise quadratic neural network," Neural Networks, vol. 11, pp. 837-850, 1998.
6. G. Strang, Linear Algebra and Applications. San Diego, CA: Harcourt Brace Jovanovich, 1988.
7. K. Fukunaga, Introduction to Statistical Pattern Recognition, 2nd ed. New York: Academic, 1990.
8. D. Casasent and S. Natarajan, "A classifier neural net with complex-valued weights and square-law nonlinearities," Neural Networks, vol. 8, no. 6, pp. 989-998, 1995.
9. L. Råde and B. Westergren, Mathematics Handbook for Science and Engineering. Lund, Sweden: Birkhäuser, 1995.
10. D. Casasent and R. Shenoy, "SAR detection and clutter rejection MINACE filters," Pattern Recognit., to be published.
11. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambodge Univ. Press, 1985.
12. B. V. K. Vijaya Kumar, "Tutorial survey of composite filter designs for optical corrrelators," Appl. Opt., vol. 31, no. 23, pp. 4773-4801, Aug. 1992.
13. G. Gheen, "A general class of invariant quadratic filters for optical pattern recognition," in Proc. Optical Pattern Recognition, vol. 2233, Apr. 1994, pp. 19-26.
14. 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, pp. 1030-1041, Sept. 1989.
15. D. Weber and J. J. Breitenbach, "Neural network objective functions for detection problems," in Proc. IEEE South. African Conf. Communications Signal Processing, 1997, pp. 43-46.
16. D. Casasent and J.-S. Smokelin, "Real, imaginary and clutter Gabor filter fusion for detection with reduced false alarms," Opt. Eng., vol. 33, pp. 2255-2263, July 1994.
17. J. R. Shewchuck, "An introduction to the conjugate gradient method without agonizing pain," Carnegie Mellon Univ., Pittsburgh, PA, Tech. Rep. CMU-CS-94-125, 1994.
18. B. MacLennan, "Gabor representation of spatiotemporal visual images," Comput. Sci. Dept., Univ. Tennessee, Knoxville, Tech. Rep. CS-91-144, Sept. 1991.
19. D. Casasent, "Gabor wavelet filters and fusion for distortion-invariant multi-class object detection," in Wavelet Applications II, vol. 2491, Apr. 1995, pp. 430-440.
20. D. Casasent, G. Ravichandran, and S. Bollapragada, "Gaussian-minimum average correlation energy filters," Appl. Opt., vol. 30, no. 35, pp. 5176-5181, Dec. 1991.
21. D. Redfern, The MAPLE Handbook: MAPLEV Release 3. Berlin, Germany: Springer-Verlag, 1994.
22. M. J. D. Powell, "Restart procedures for the conjugate gradient method," Math. Progr., vol. 12, pp. 241-254, 1977.
23. D. Casasent and A. Ye, "Detection filters and algorithm fusion for ATR," IEEE Trans. Image Processing, pp. 114-125, Jan. 1997.