Geometric moments (GMs) have been succesfully used in pattern recognition and object orientation determination; however, their computation is too expensive, which limits the application of GMs. In this paper, a new method is proposed to calculate geometric moments. Firstly, the pixel-based calculation of GMs is converted into the line-segment-based calculation, then a new approach is proposed to calculate the line-segment integrals. After line-segment integrals are calculated, Hatamian's filter method is introduced to calculate GMs, which further simplifies the moment calculation. Finally, the method is compared with the known results, which show that the method can calculate any complicated object moments, and also efficiently reduces both addition and multiplication complexity.
Abstract