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"On the localization performance measure and optimal edge detection"
January 1994 (vol. 16 no. 1)
pp. 106-108

Tagare and deFigueiredo present a localization performance measure for edge detectors. They correctly point out a flaw in Canny's formulation of the localization criterion, which was subsequently adopted by Sarkar and Boyer (1991). They motivate their form of the localization criterion along a different line of reasoning. In this comment, the authors show that although Canny's derivation was in error, the final form of his criterion is adequate and can, in fact, be derived from Tagare and deFigueiredo's formulation of the problem. The authors also point out some problems with Tagare and deFigueiredo's localization criterion.

[1] H. D. Tagare and R. J. P. deFigueiredo, "On the localization performance measure and optimal edge detection,"IEEE Trans. Pattern Anal. Machine Intell., vol. 12, pp. 1186-1189, Dec. 1990.
[2] J. F. Canny, "A computational approach to edge detection,"IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, pp. 679-697, 1986.
[3] S. Sarkar and K. L. Boyer, "On optimal infinite impulse response edge detection filters,"IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 1154-1171, Nov. 1991.
[4] V. Greco and J. Koplowitz, "On the edge location error for maximum and zero-crossing edge detectors," presented at theProc. SPIE, Curves and Surfaces in Comput. Vision and Graphics II, Boston, MA, 1992.

Index Terms:
edge detection; localization performance measure; Canny's formulation; optimal edge detection
Citation:
K.L. Boyer, S. Sarkar, ""On the localization performance measure and optimal edge detection"," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 1, pp. 106-108, Jan. 1994, doi:10.1109/34.273710
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