Spline Functions and the Theory of Wavelets
Serge Dubuc, Gilles Deslauriers · CRM proceedings & lecture notes · 1999
Spline Functions: Introduction and summary by H. Brunner Radial extensions of vertex data by L. P. Bos and D. Holland The use of splines in the numerical solutions of differential and Volterra integral equations by H. Brunner On best error bounds for deficient splines by F. Dubeau and J. Savoie Optimal error bounds for spline interpolation on a uniform partition by F. Dubeau and J. Savoie Modelization of flexible objects using constrained optimization and B-spline surfaces by J.-P. Dussault and N. Pfister New control polygons for polynomial curves by J. C. Fiorot and P. Jeannin Splines in approximation and differential operators: $(m,\ell,s)$ interpolating-spline by A. Le Mehaute and A. Bouhamidi New families of B-splines on uniform meshes of the plane by P. Sablonniere Theory of Wavelets: Introduction and summary by S. Jaffard Analysis of Hermite-interpolatory subdivision schemes by N. Dyn and D. Levin Some directional microlocal classes defined using wavelet transforms by M. Holschneider Nonseparable biorthogonal wavelet bases of $L^2(\mathbb R^n)$ by A. Karoui and R. Vaillancourt Local bases: Theory and applications by J. Kovacevic and R. Bernardini On the $L^p$-Lipschitz exponents of the scaling functions by K.-S. Lau and M.-F. Ma Robust speech and speaker recognition using instantaneous frequencies and amplitudes obtained with wavelet-derived synchrosqueezing measures by S. Maes Extensions of the Heisenberg group and wavelet analysis in the plane by E. Schulz and K. F. Taylor Wavelets in Physics: Introduction and summary by A. Arneodo Coherent states and quantization by S. Twareque Ali Wavelets in molecular and condensed-matter physics by J.-P. Antoine Wavelets in atomic physics by J.-P. Antoine, Ph. Antoine, and B. Piraux The wavelet $\epsilon$-expansion and Hausdorff dimension by G. Battle Modelling the coupling between small and large scales in the Kuramoto-Sivashinsky equation by J. Elezgaray, G. Berkooz, and P. Holmes Continuous wavelet transform analysis of one-dimensional quantum ground states by C. R. Handy and R. Murenzi Oscillating singularities and fractal functions by A. Arneodo, E. Bacry, S. Jaffard, and J. F. Muzy Splines and Wavelets in Statistics: Introduction and summary by B. Macgibbon Wavelet estimators for change-point regression models by A. Antoniadis Wavelet thresholding for non (necessarily) Guassian noise: A preliminary report by R. Averkamp and C. Houdre Deslauries-Dubuc: Ten years after by D. L. Donoho and T. P. Y. Yu Some theory for $L$-spline smoothing by J. O. Ramsay and N. Heckman Spectral representation and estimation for locally stationary wavelet processes by R. von Sachs, G. P. Nason, and G. Kroisandt.