Efficient algorithm for computation of the second-order moment of the subpixel-edge position

Applied Optics

Volumn 43, Issue 23, 2004, Pages 4550-4558

  Bouchara, Frédéric ^a  

^a UNIVERSITÉ DE TOULON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; ERROR ANALYSIS; ESTIMATION; FUNCTIONS; IMAGE PROCESSING; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; POLYNOMIALS; VISION;

IMAGE RESOLUTION; SECOND-ORDER MOMENT; SPATIAL MOMENTS; SUBPIXEL-EDGE POSITION;

EDGE DETECTION;

ALGORITHM; ARTICLE; AUTOMATED PATTERN RECOGNITION; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; EVALUATION; IMAGE ENHANCEMENT; METHODOLOGY; SIGNAL PROCESSING; STATISTICAL MODEL; VALIDATION STUDY;

ALGORITHMS; COMPUTER GRAPHICS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, STATISTICAL; PATTERN RECOGNITION, AUTOMATED; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 4344653916     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.43.004550     Document Type: Article

References (31)

1. A. J. Tabatabai and R. Mitchell, "Edge localization to subpixel values in digital imagery," IEEE Trans. Pattern Anal. Mach. Intell. 6, 188-201 (1984).
2. E. P. Lyvers and O. R. Mitchell, "Precision edge contrast and orientation estimation," IEEE Trans. Pattern Anal. Mach. Intell. 10, 927-937 (1988).
3. Y. Shan and G. W. Boon, "Sub-pixel localisation of edges with non-uniform blurring: a finite closed-form approach," Image Vision Comput. 18, 1015-1023 (2000).
4. E. P. Lyvers, O. R. Mitchell, M. L. Akey, and A. P. Reeves, "Subpixel measurements using a moment-based edge operator," IEEE Trans. Pattern Anal. Mach. Intell. 11, 1293-1309 (1989).
5. S. Ghosal and R. Mehrotra, "Orthogonal moment operators for subpixel edge detection," Pattern Recogn. 26, 296-306 (1993).
6. Y. Nomura, M. Sagara, H. Naruse, and A. Ide, "Edge location to subpixel precision and analysis," Syst. Comput. Jpn. 22, 70-80 (1991).
7. M. Kisworo, S. Venkatesh, and G. West, "Modeling edges at subpixel accuracy using the local energy approach," IEEE Trans. Pattern Anal. Mach. Intell. 16, 405-410 (1994).
8. K. Jensen and D. Anastassiou, "Subpixel edge localization and the interpolation of still images," IEEE Trans. Image Process. 4, 285-295 (1995).
9. F. Truchetet, F. Nicolier, and O. Laligant, "Subpixel edge detection for dimensional control by artificial vision," J. Electron. Imaging 10, 234-239 (2001).
10. R. Deriche and G. Giruadon, "A computational approach for corner and vertex detection," Int. J. Comput. Vision 10, 101-124 (1993).
11. H. Wang and M. Brady, "Real-time corner detection algorithm for motion estimation," Image Vision Comput. 13, 695-703 (1995).
12. S. Venkatesh, M. Kisworo, and G. A. West, "Detection of curved edges at subpixel accuracy using deformable models," in Proceedings of IEEE Conference on Vision Image Signal Processing (Institute of Electrical and Electronics Engineers, New York, 1995), pp. 304-312.
13. F.-L. Chen and S.-W. Lin, "Subpixel estimation of circle parameters using orthogonal circular detector," Comput. Vis. Image Underst. 78, 206-221 (2000).
14. T. Kubota, T. Huntsberger, and J. Martin, "Edge based probabilistic relaxation for sub-pixel contour extraction," in Proceedings of Energy Minimization Methods in Computer Vision and Pattern Recognition (Springer-Verlag, Heidelberg, 2001), pp. 328-343.
15. P. Pedersini, A. Sarti, and S. Tubaro, "Estimation and compensation of subpixel edge localization error," IEEE Trans. Pattern Anal. Mach. Intell. 19, 1278-1284 (1997).
16. F. Pedersini, A. Sarti, and S. Tubaro, "Improving the performance of edge localization techniques through error compensation," Signal Process. Image Commun. 12, 33-47 (1998).
17. P. I. Rockett, "The accuracy of sub-pixel localisation in the Canny edge detector," in Proceedings of the British Machine Vision Conference (British Machine Vision Association, London, 1999), pp. 392-401.
18. J. Canny, "A computational approach to edge detection," IEEE Trans. Pattern Anal. Mach. Intell. 8, 679-698 (1986).
19. K. Åström and A. Heyden, "Stochastic modelling and analysis of sub-pixel edge detection," in Proceedings of the 13th International Conference on Pattern Recognition, Vienna (IEEE Computer Society, Los Alamitos, Calif., 1996), Vol. II, pp. 86-90.
20. K. Åström and A. Heyden, "Stochastic analysis of image acquisition, interpolation and scale-space smoothing," Adv. Appl. Probab. 31, 855-894 (1999).
21. C. Steger, "Analytical and empirical performance evaluation of subpixel line and edge detection," in Empirical Evaluation Methods in Computer Vision, K. J. Bowyer and P. J. Phillips, eds. (IEEE Computer Society, Los Alamitos, Calif., 1998), pp. 188-210.
22. S. Ramdani, P. Bouchara, and K. Djemal, "Probability distribution of subpixel edge detection," Signal Process. 84, 445-452 (2004).
23. F. Devernay, "A non-maxima suppression method for edge detection with sub-pixel accuracy," INEIA Research Report 2724 (French National Institute for Research in Computer Science and Control, 06902 Sophia Antipolis, France, 1995).
24. M. Gabbouj, E. J. Coyle, and N. C. Gallagher, "An overview of median and stack filtering," Circuits Syst. Signal Process. 11, 7-46 (1992).
25. L. Yin, R. Yang, M. Gabbouj, and Y. Neuvo, "Weighted median filters: a tutorial," IEEE Trans. Circuits Syst. II 43, 157-192 (1996).
26. B. I. Justusson, "Median filtering: statistical properties," in Topics in Applied Physics, Two-Dimensional Digital Signal Processing II, T. S. Huang, ed. (Springer-Verlag, Berlin, 1981), pp. 160-196.
27. G. Liao, T. A. Nodes, and C. Gallagher, "Output distribution of two-dimensional median filters," IEEE Trans. Acoust. Speech Signal Process. 33, 1280-1295 (1985).
28. G. R. Arce, N. C. Gallagher, Jr., and T. A. Nodes, "Median filter: theory and applications," in Advances in Computer Vision and Image Processing, T. S. Huang, ed. (JAI Press, Greenwich, Conn., 1986), Vol. 2, pp. 89-166.
29. O. Yli-Harja, J. Astola, and Y. Neuvo, "Analysis of the properties of median and weighted median filters using threshold logic and stack filter representation," IEEE Trans. Signal Process. 39, 395-410 (1991).
30. A. Papoulis, Probability, Random Variables, and Stochastic Processes, 3rd ed. (McGraw-Hill, New York, 1991).
31. J. K. Patel and C. B. Read, Handbook of the Normal Distribution, 2nd ed. (Marcel Dekker, New York, 1996).