Multiscale Edge Detector

The purpose of this paper is to introduce an novel edge detector using directional wavelet transform and signal registration. Directional wavelet transform decomposes an image into four-mensional space which augments the image by the scale and directional information. We show the directional information significantly improves edge detection in noisy images in comparison with the classical multiscale edge detector, and enables more reliable edge tracing along an object boundary. Edge detection is based on the modulus maximum principle with an adaptive threshold whose value is calculated via maximum entropy measure. Edge tracing is done with signal alignment between neighbour edges.