Gabor filter-based edge detection: A note

Mehrotra proposed a classical method for edge detection based on Gabor filter in 1992. He investigated the algorithm using the measures proposed by Canny and designed a criterion for one-dimensional (1-D) and two-dimensional (2-D) Gabor filter-based edge detector. The derivation was too complicated in time domain and it is not strict enough for 2-D step edge. We explain the Gabor filter-based edge detector by a more precise but much simpler mathematical derivation in frequency domain.