Parallel recursive computation of the inverse Legendre moment transforms for signal and image reconstruction

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...

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Bibliographic Details
Published in:IEEE signal processing letters 2004-12, Vol.11 (12), p.929-932
Main Authors: Wang, G., Wang, S.
Format: Article
Language:English
Subjects:
Algorithms
Computation
Concurrent computing
Discrete transforms
Equations
Filters
Image analysis
Image reconstruction
Integrated circuit noise
Inverse
Inverse transform
Legendre moment
Mathematical analysis
Modular
Polynomials
Recursive
recursive algorithm
signal and image reconstruction
Transforms
Very large scale integration
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Summary: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.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2004.838187