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Lagrange wavelets for signal processing. (English) Zbl 1028.94011
Summary: 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.
94A12Signal theory (characterization, reconstruction, filtering, etc.)
65T60Wavelets (numerical methods)
68U10Image processing (computing aspects)
94A08Image processing (compression, reconstruction, etc.)
65D05Interpolation (numerical methods)