Edge Detection by Regularized Cubic B-Spline Fitting

IEEE Transactions on Systems, Man, and Cybernetics

Volumn 25, Issue 4, 1995, Pages 636-643

  Chen, Gang ^a   Hong Yang, Yee H ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PERFORMANCE; POLYNOMIALS;

FALSE DETECTED TO CORRECT DETECTED RATIO; REGULARIZED CUBIC B SPLINE FITTING;

EDGE DETECTION;

EID: 0029292043     PISSN: 00189472     EISSN: 21682909     Source Type: Journal    
DOI: 10.1109/21.370194     Document Type: Article

References (28)

1. I. E. Abdou and W. K. Pratt, “Quantitative design and evaluation of enhancement/thresholding edge detectors,” Proc. of the IEEE, vol. 67, no. 5, pp. 753–763, 1979.
2. F. Bergholm, “Edge focusing.” IEEE Trans. Pattern Anal. Machine Intell., vol. 9, no. 6, pp. 726–741, 1987.
3. A. P. Blicher, “Edge detection and geometric methods in computer vision,” Report AIM-352, Dep. Comput. Sci., Stanford Univ., 1984.
4. J. Canny, “Finding edges and lines in images,” Rep. AI-TR-720, AI lab, MIT, 1983.
5. J. Canny, “A computational approach to edge detectio,.” IEEE Trans. Pattern Anal. Machine Intell., vol. 8, no. 6, pp. 679–698, 1986.
6. G. Chen and Y. H. Yang, Edge Detection by Regularized Cubic B-Spline Fitting, Research Report, #91-8, Computer Vision Lab, Dept. of Computational Science, University of Saskatchewan, 1991.
7. R. O. Duta and P. E. Hart, Pattern Classification and Scene Analysis, John Wiley and Sons, 1973.
8. P. H. Eichel and E. J. Delp, “Quantitative analysis of a moment-based edge operator,” IEEE Trans. Syst. Man Cyber., vol. 20, no. 1, pp. 59–66, 1990.
9. R. M. Haralick, “Edge and region analysis for digital image data,” Computer Graphics and Image Processing, vol. 12, pp. 60–73, 1980.
10. R. M. Haralick, “Digital step edges from zero crossing of second directional derivatives,” IEEE Trans. Pattern Anal. Machine Intell., vol. 6, no. 1, pp. 58–68, 1984.
11. R. M. Haralick and L. Watson, “A facet model for image data,” Computer Graphics and Image Processing, vol. 15, pp. 113–129, 1981.
12. L. J. Kitchen and A. Rosenfeld, “Edge evaluation using local edge coherence,” IEEE Trans. Syst. Man Cyber., vol. 11, no. 9, pp. 597–605, 1981.
13. Y. Li and Y. Huang, Numerical Approximation, People's Education Press, China, 1978.
14. D. Marr and E. Hildreth, “Theory of edge detection,” Proc. Royal Society London, ser. B, vol. 207, pp. 187–217, 1980.
15. V. S. Nalway and T. O. Binford, “On detecting edges,” IEEE Trans. Pattern Anal. Machine Intell., vol. 8, no. 6, pp. 699–714, 1986.
16. T. Poggio, V. Torre, and C. Koch, “Computational vision and regularization theory,” Nature, vol. 317, pp. 314–319, 1985.
17. J. M. S. Prewitt, Object Enhancement and Extraction, in Picture Processing and Psychopictorics, B. S. Kipkin and A. Rosenfeld, Eds, Academic Press, 1970.
18. L. G. Roberts, Machine Perception of Three-Dimensional Solids, in Optical and Electro-Optical Information Processing, J. T. Tippett et al., Eds, MIT Press, 1965.
19. S. Sarkar and K. L. Boyer, “On optimal infinite impulse response edge detection filters,” IEEE Trans. Pattern Anal. Machine Intell., vol. 13, no. 11, pp. 1154–1171, 1991.
20. S. Sarkar and K. L. Boyer, “On the localization performance measure and optimal edge detection,” IEEE Trans. Pattern Anal. Machine Intell., vol. 16, no. 1, pp. 106–108, 1994.
21. H. D. Tagare and R. J. P. de Figueiredo, “On the localization performance measure and optimal edge detection,” IEEE Trans. Pattern Anal. Machine Intell., vol. 12, no. 12, pp. 1186–1190, 1990.
22. H. D. Tagare and R. J. P. de Figueiredo, Reply to “on the localization performance measure and optimal edge detection,” IEEE Trans. Pattern Anal. Machine Intell., vol. 16, no. 1, pp. 108–110, 1994.
23. H. L. Tan, S. B. Gelfand, and E. J. Delp, “A comparative cost function approach to edge detection,” IEEE Trans.Systems, Man, and Cybernetics, vol. 19, no. 6, pp. 1337–1349, 1989.
24. H. L. Tan, S. B. Gelfand, and E. J. Delp, “A cost minimization approach to edge detection using simulated annealing,” IEEE Trans. Pattern Anal. Machine Intell., vol. 14, no. 1, pp. 3–18, 1991.
25. A. N. Tikhonov and V. Y. Arsenin, Solution of Ill-Posed Problems, Winston and Wiley, 1977.
26. V. Torre and T. A. Poggio, “On edge detection.” IEEE Trans. Pattern Anal. Machine Intell., vol. 8, no. 2, pp. 147–163, 1986.
27. S. Venkatesh and L. J. Kitchen, “Edge evaluation using necessary components,” CVGIP: Graphical Models and Image Processing, vol. 54, no. 1, pp. 23–30, 1992.
28. Z. Wu and Y. H. Yang, An Experimental Study in the Use of Robust Statistics in Edge Detection and Performance Evaluation, Research Report, #93-4, Computer Vision Lab, Dept. of Computational Science, University of Saskatchewan, 1993.