Sciweavers

Share
PR
2006

Efficient Legendre moment computation for grey level images

8 years 10 months ago
Efficient Legendre moment computation for grey level images
9 Legendre orthogonal moments have been widely used in the field of image analysis. Because their computation by a direct method is very time expensive, recent efforts have been devoted to the reduction of computational complexity. Nevertheless, the existing algorithms11 are mainly focused on binary images. We propose here a new fast method for computing the Legendre moments, which is not only suitable for binary images but also for grey level images. We first establish a recurrence formula of one-dimensional (1D) Legendre13 moments by using the recursive property of Legendre polynomials. As a result, the 1D Legendre moments of order p, Lp = Lp(0), can be expressed as a linear combination of Lp-1(1) and Lp-2(0). Based on this relationship, the 1D Legendre moments Lp(0) can thus be15 obtained from the arrays of L1(a) and L0(a), where a is an integer number less than p. To further decrease the computation complexity, an algorithm, in which no multiplication is required, is used to compu...
G. Y. Yang, Huazhong Shu, Christine Toumoulin, Guo
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2006
Where PR
Authors G. Y. Yang, Huazhong Shu, Christine Toumoulin, Guo-Niu Han, Limin Luo
Comments (0)
books