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Reply to "On the Localization Performance Measure and Optimal Edge Detection"
January 1994 (vol. 16 no. 1)
pp. 108-110

A discussion of the step edge model and the zero crossings of edge detectors is provided to justify the authors' previous analysis of the localization performance error. It is shown that the previous analysis is consistent with its assumptions. The exact solution to the zero crossing density of the edge detection filter is also provided.

[1] K. L. Boyer and S. Sarkar, "Comments on 'On the localization performance measure and optimal edge detector'," this issue, pp. 107-109.
[2] 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.
[3] 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.
[4] J. F. Canny, "A computational approach to edge detection,"IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, pp. 679-697, 1986.
[5] 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.

Index Terms:
edge detection; filtering and prediction theory; localization performance measure; optimal edge detection; step edge model; zero crossings; edge detectors; zero crossing density; edge detection filter
Citation:
H. Tagare, R.J.P. deFigueiredo, "Reply to "On the Localization Performance Measure and Optimal Edge Detection"," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 1, pp. 108-110, Jan. 1994, doi:10.1109/34.273709
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