Abstract:
In order to improve description performance of moments, based on the unbiased finite impulse response (UFIR) polynomial, a novel kind of image discrete orthogonal moments，UFIR moments is proposed.It is free of the numerical integration error associated with continuous orthogonal moments. Since the domain of these polynomials matches the discrete domain of an image accurately, the transformation of the image coordinate space is not required in calculations of these moments. Comparing with the existing discrete orthogonal moments such as Krawtchouk and Hahn moments, the proposed moments do not involve any factorial calculation. In addition, there is no need for parameter selection, so the UFIR discrete orthogonal moments are adapt for blind analysis of images. In order to reduce their computational costs and representation errors further, the computational aspects of the moments using the recursive property are discussed as well. Experimental results show the superiority of these moments with higher calculation accuracy and efficiency.
