Title :
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
fDate :
10/1/2001 12:00:00 AM
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;
Journal_Title :
Image Processing, IEEE Transactions on
