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<p><b>Abstract</b>—In practical images, ideal step edges are actually transformed into ramp edges, due to the general low pass filtering nature of imaging systems. This paper discusses the application of the recently developed Expansion Matching (EXM) method for optimal ramp edge detection. EXM optimizes a novel matching criterion called Discriminative Signal-to-Noise Ratio (DSNR) and has been shown to robustly recognize templates under conditions of noise, severe occlusion, and superposition. We show that our ramp edge detector performs better than the ramp detector obtained from Canny's criteria in terms of DSNR and is relatively easier to derive for various noise levels and slopes.</p>
Canny edge detector, edge detection, optimal filters; ramp edges, step edges, Expansion Matching (EXM), Discriminative Signal-to-Noise Ratio (DSNR).

K. R. Rao, Z. Wang and J. Ben-Arie, "Optimal Ramp Edge Detection Using Expansion Matching," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 18, no. , pp. 1092-1097, 1996.
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