Title :
Non-uniform non-stationary wavelets
Author :
Le Méhauté, Alain
Author_Institution :
Dept. of Math., Nantes Univ., France
Abstract :
Summary form only given. This presentation develops a framework suitable for performing a multiresolution analysis using univariate spline spaces of arbitrary degree and non-uniform node sequences. Using the basic properties of B-splines defined on an arbitrary grid, it is possible to generalize the construction of spline wavelets to arbitrary nodes (simple or even multiple). In some particular instances, it is possible to characterize node sequences such that the reconstruction coefficients in the B-splines--B-wavelet representation decays exponentially
Keywords :
image processing; splines (mathematics); wavelet transforms; B-splines; construction of spline wavelets; multiresolution analysis; nonuniform nonstationary wavelets; reconstruction coefficients; sequences; univariate spline spaces;
Conference_Titel :
Applications of Wavelet Transforms in Image Processing, IEE Colloquium on
Conference_Location :
London
