The performances of the Laplacian of binomial distribution and the discrete Laplacian of Gaussian edge detection operators

This paper presents a performance analysis and comparison between the Laplacian of binomial distribution (LOB) and the discrete Laplacian of Gaussian (DLOG) edge detection operators in the space domain and frequency domain. When the scale space constants of the two edge detection operators are large enough, the characteristics in space domain and frequency domain and performances in image detection are almost the same. But when the scale space constants are smaller, the conclusion can be made that the performances of the LOB operator are little better than that of the discrete LOG operator after comparisons of central frequency, 3 dB bandwidth and high frequency attenuation rate at cut off frequency in the frequency domain. The LOB operator may be considered as a discrete realization of LOG operator. Results of experiments are given to verify the correctness of analysis.