Wavelet frames: theory and constructions
Abstract: This talk is about wavelet frames constructed
analysis. We shall explore the `power of redundancy' to establish general
principles and specific algorithms for constructing framelets and tight framelets.
In particular, we shall give several systematic constructions of spline and
pseudo-spline tight frames and symmetric bi-frames with short supports and
high approximation orders. Several explicit examples are discussed. This talk is
based on a joint work with Ingrid Daubechies, Bin Han and Amos Ron.