Lagrange wavelets for signal processing

This paper deals with the design of interpolating wavelets based on a varie ty 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 w avelets. Our approach combines the perceptually dependent visual group norm alization (VGN) technique and a softer logic masking (SLM) method. These ar e utilized to rescale the wavelet coefficients, remove perceptual redundanc y and obtain good visual performance for digital image processing.