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EURASIP Journal on Advances in Signal Processing

Table 4 Analytic form of probabilities for legitimate and random edge detection

From: Optimal edge detection using multiple operators for image understanding

 

Legitimate edge detection

Random edge detection

TP

P · Q + ρ · σ p · σ q = P · SE

P · Q

FP

P' · Q - ρ · σ p · σ q = P' · SP'

P' · Q

FN

P · Q' - ρ · σ p · σ q = P · SE'

P · Q'

TN

P' · Q' + ρ · σ p · σ q = P' · SP

P' · Q'

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