Lagrange wavelets for signal processing

Author

Shi, Zhuoer ; Wei, G.W. ; Kouri, Donald J. ; Hoffman, David K. ; Bao, Zheng

Author_Institution

Dept. of Phys., Houston Univ., TX, USA

Volume

10

Issue

10

fYear

2001

fDate

10/1/2001 12:00:00 AM

Firstpage

1488

Lastpage

1508

Abstract

This paper deals with the design of interpolating wavelets based on a variety of Lagrange functions, combined with novel signal processing techniques for digital imaging. Halfband Lagrange wavelets, B-spline Lagrange wavelets and Gaussian Lagrange (Lagrange distributed approximating functional (DAF)) wavelets are presented as specific examples of the generalized Lagrange wavelets. Our approach combines the perceptually dependent visual group normalization (VGN) technique and a softer logic masking (SLM) method. These are utilized to rescale the wavelet coefficients, remove perceptual redundancy and obtain good visual performance for digital image processing

Keywords

Gaussian processes; image processing; interpolation; splines (mathematics); wavelet transforms; B-spline Lagrange wavelets; Gaussian Lagrange wavelets; Lagrange DAF wavelets; Lagrange distributed approximating functional wavelets; SLM method; VGN technique; digital image processing; digital imaging; halfband Lagrange wavelets; interpolating wavelets; perceptual redundancy; rescaling; signal processing; signal processing techniques; softer logic masking method; visual group normalization technique; visual performance; wavelet coefficients; Biomedical signal processing; Digital images; Lagrangian functions; Logic; Low pass filters; Partial differential equations; Signal processing; Spline; Wavelet analysis; Wavelet coefficients;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.951535

Filename

951535