Titlebook: Wavelet Analysis and Its Applications; Second International Yuan Y. Tang,Pong C. Yuen,Victor Wickerhauser Conference proceedings 2001 Sprin

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https://doi.org/10.1007/3-540-45333-4Kalman filters; Wavelets; analysis; data compression; handwriting recognition; image coding; image process

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A Method with Scattered Data Spline and Wavelets for Image CompressionThis paper presents a method for image compression. First, selecting some scattered data points on some lines of a plane to construct an interpolating spline surface approach to the image, then, one kind of wavelets for this spline function is given. By different codes to spline and wavelets, an image compression finished.

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Integration of Multivariate Haar Wavelet SeriesThis article considers the error of integrating multivariate Haar wavelet series by quasi-Monte Carlo rules using scrambled digital nets. Both the worst-case and random-case errors are analyzed. It is shown that scrambled net quadrature has optimal order. Moreover, there is a simple formula for the worst-case error.

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Integration of Multivariate Haar Wavelet SeriesThis article considers the error of integrating multivariate Haar wavelet series by quasi-Monte Carlo rules using scrambled digital nets. Both the worst-case and random-case errors are analyzed. It is shown that scrambled net quadrature has optimal order. Moreover, there is a simple formula for the worst-case error.

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Wavelet Algorithm for the Numerical Solution of Plane Elasticity ProblemIn this paper, we apply Shannon wavelet and Galerkin method to deal with the numerical solution of the natural boundary integral equation of plane elasticity probem in the upper half-plane. The fast algorithm is given and only 3. entries need to be computed for one 4. × 4. stiffness matrix.

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