ABSTRACT
Our goal is to describe tools for adapting methods of analysis to various tasks occurring in harmonic and numerical analysis and signal processing. The main point of this presentation is that by choosing an orthonormal basis, in which space and frequency are suitably localized, one can achieve both understanding of structure and efficiency in computation. We describe a fingerprint image segmentation algorithm, an alternative factorization for the FFT, and a wavelet-based denoising algorithm.
