2000•Chinese Journal of ComputersRequires access

An Efficient Method of Computation of Legendre Moments

Fei Zhou

Abstract

Legendre moments have been successfully used in pattern recognition and image analysis. However, due to its complexity, there exist few fast algorithms for computing Legendre moments, which limits its application. In this paper, some properties of Legendre polynomials have been investigated, they permit us to reduce significantly the computational complexity in the calculation of Legendre moments.

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Key concepts: Legendre polynomials, Legendre wavelet, Associated Legendre polynomials, Computation, Legendre function, Mathematics, Legendre transformation, Legendre's equation