Title :
Parallel recursive computation of the inverse Legendre moment transforms for signal and image reconstruction
Author :
Wang, Guo-bao ; Wang, Shi-gang
Author_Institution :
Sch. of Mech. Eng., Shanghai Jiao Tong Univ., China
Abstract :
The inverse Legendre moment transform plays an important role in the field of image analysis applications. A recursive algorithm based on Clenshaw´s recurrence formula is derived for the fast computation of the inverse Legendre moment transform for signal and image reconstruction purposes. The reconstruction can be implemented effectively using recursive equations. The presented algorithm is particularly suitable for parallel very large-scale integrated circuit (VLSIC) implementation due to its regular, modular, and simple filter structure.
Keywords :
Legendre polynomials; VLSI; image reconstruction; parallel architectures; recursive estimation; Clenshaws recurrence formula; image analysis application; image reconstruction; inverse Legendre moment transform; parallel very large-scale integrated circuit implementation; recursive algorithm; Concurrent computing; Discrete transforms; Equations; Filters; Helium; Image analysis; Image reconstruction; Integrated circuit noise; Polynomials; Very large scale integration; 65; Inverse transform; Legendre moment; recursive algorithm; signal and image reconstruction;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2004.838187