Highly Nonlinear Approximations for Sparse Signal Representation


Adaptive non-uniform B-spline dictionaries

In this work, with Zhiqiang Xu [21],we consider the sparse representation matter for the large class of signals which are amenable to satisfactory approximation in spline spaces [22,]. Given a signal, we have the double goal of a) finding a spline space for approximating the signal and b) constructing those dictionaries for the space which are capable of providing a sparse representation of such a signal. In order to achieve both aims we have first discussed the construction of dictionaries of B-spline functions for non-uniform partitions.