Spline functions and the theory of wavelets

Contributor(s): Deslauriers, Gilles | Dubuc, SergeMaterial type: Computer fileComputer fileSeries: CRM Proceedings and Lecture Notes ; v. 18Publication details: Providence, R.I. : American Mathematical Society, c1999Description: 1 online resource (x, 397 p. : ill.)ISBN: 9781470439323 (online)Subject(s): Spline theory | Wavelets (Mathematics)Online resources: Click here to access online
Contents:
Introduction and summary ; Radial extensions of vertex data ; The use of splines in the numerical solutions of differential and Volterra integral equations ; On best error bounds for deficient splines ; Optimal error bounds for spline interpolation on a uniform partition ; Modelization of flexible objects using constrained optimization and B-spline surfaces ; New control polygons for polynomial curves ; Splines in approximation and differential operators:
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Includes bibliographical references.

Introduction and summary ; Radial extensions of vertex data ; The use of splines in the numerical solutions of differential and Volterra integral equations ; On best error bounds for deficient splines ; Optimal error bounds for spline interpolation on a uniform partition ; Modelization of flexible objects using constrained optimization and B-spline surfaces ; New control polygons for polynomial curves ; Splines in approximation and differential operators: m,\ell ,s) interpolating-spline ; New families of B-splines on uniform meshes of the plane ; Introduction and summary ; Analysis of Hermite-interpolatory subdivision schemes ; Some directional microlocal classes defined using wavelet transforms ; Nonseparable biorthogonal wavelet bases of ^2(\mathbb R^n) ; Local bases: Theory and applications ; On the ^p Lipschitz exponents of the scaling functions ; Robust speech and speaker recognition using instantaneous frequencies and amplitudes obtained with wavelet-derived synchrosqueezing measures ; Extensions of the Heisenberg group and wavelet analysis in the plane ; Introduction and summary ; Coherent states and quantization ; Wavelets in molecular and condensed-matter physics ; Wavelets in atomic physics ; The wavelet epsilon expansion and Hausdorff dimension ; Modelling the coupling between small and large scales in the Kuramoto-Sivashinsky equation ; Continuous wavelet transform analysis of one-dimensional quantum ground states ; Oscillating singularities and fractal functions ; Introduction and summary ; Wavelet estimators for change-point regression models ; Wavelet thresholding for non (necessarily) Guassian noise: A preliminary report ; Deslauries-Dubuc: Ten years after ; Some theory for spline smoothing ; Spectral representation and estimation for locally stationary wavelet processes

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