Adaptive procedure for threshold selection in directional derivative edge detectors

Nenad Amodaj; Miodrag V. Popovic

doi:10.1117/12.23524

1 November 1990 Adaptive procedure for threshold selection in directional derivative edge detectors

Nenad Amodaj, Miodrag V. Popovic

Proceedings Volume 1349, Applications of Digital Image Processing XIII; (1990) https://doi.org/10.1117/12.23524
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

Performance of any gradient type edge detector in the presence of noise critically depends on threshold selection at its output. In this paper it is shown that under the assumption of white additive noise with normal distribution at the input noise gradient magnitudes at the output of edge detector have Rayle igh distribut ion. The proposed threshold selection procedure is based on the estimation of a single Rayleigh distribution parameter from gradient magnitude histogram which is proportional to input noise standard deviation. Threshold is then calculated on the basis of the est imated no ise standard deviat ion and predetermined probabi 1 i ty of false edge detection. Using derived relationship between noise gradient distribution and averaging parameter o in direct ional den vat ive edge detector a who le edge detect i on process can can be enhanced by adjust i ng both thresho 1 d and the amount of averaging. Therefore if an additional constraint of minimal edge intensity that has to be detected is given edge detector can adjust the amount of input averaging to match the given false edge detection probability and estimated noise variance with minimal value of averaging parameter o. Proposed technique is demonstrated on several examples.

Citation Download Citation

Nenad Amodaj and Miodrag V. Popovic "Adaptive procedure for threshold selection in directional derivative edge detectors", Proc. SPIE 1349, Applications of Digital Image Processing XIII, (1 November 1990); https://doi.org/10.1117/12.23524

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