An efficient method for the computation of Legendre moments

Pew-Thian Yap, R. Paramesran
2005 IEEE Transactions on Pattern Analysis and Machine Intelligence  
Legendre moments are continuous moments, hence, when applied to discrete-space images, numerical approximation is involved and error occurs. This paper proposes a method to compute the exact values of the moments by mathematically integrating the Legendre polynomials over the corresponding intervals of the image pixels. Experimental results show that the values obtained match those calculated theoretically, and the image reconstructed from these moments have lower error than that of the
more » ... onal methods for the same order. Although the same set of exact Legendre moments can be obtained indirectly from the set of geometric moments, the computation time taken is much longer than the proposed method.
doi:10.1109/tpami.2005.232 pmid:16355666 fatcat:njpqyxruxngvde6dvakzoagexe