Accurate Computation of Geometric Moments Using Non-symmetry and Anti-packing Model for Color Images

Abstract

Accurate computation of geometric moments is very important in computer vision, image processing and pattern recognition. In this paper, inspired by the idea of bit-plane decomposition and accurate computation of geometric moments on binary images, we put forward an accurate and fast algorithm for the computation of geometric moments using Non-symmetry and Anti-packing Model (NAM) for color images, which takes O(N) time where N is the number of all NAM blocks. By taking four color images 'Lena', 'Peppers', 'Frog', and 'Fish' as typical test objects, and by comparing our proposed NAM-based accurate algorithm with the popular Binary Tree (BT)-based accurate algorithm for computing the geometric moments, the theoretical and experimental results presented in this paper show that our NAM-based accurate algorithm can significantly improve the execution speed by 43.71%, 41.93%, 41.01%, and 38.63% over the BT-based accurate algorithm in images 'Lena', 'Peppers', 'Frog', and 'Fish', respectively. Also, our NAM-based accurate algorithm can significantly improve the average execution speed by 41.32% over the BT-based accurate algorithm. Therefore, in the case of computing lower order moments of color images, our proposed accurate algorithm is much faster than the BT-based accurate algorithm.