Multiscale edge detection using first order R-filter

A multiscale edge detection scheme using a first-order regularization filter (R-filter) is presented. After considering relationships with some of the optimal edge operators, it is shown that the first derivative of the R-filter, which is derived from the 1-D string functional has good edge localization performance. By utilizing this property, the detection performance is improved by combining multiscale edges through a simple yet effective integration scheme. The performance of the algorithm on synthetic and real images is evaluated by using both quantitative and qualitative measures, and compared with that of Canny edge detector