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

Volume

11

Issue

12

fYear

2004

Firstpage

929

Lastpage

932

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;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2004.838187

Filename

1359904