DE VITO , Ernesto

The role of unitary group representations in applied mathematics is manifold and has been frequently pointed out and exploited. In this chapter, we first review the basic notions and constructs of Lie theory and then present the main features of some of the most useful unitary representations, such as the wavelet representation of the affine...

We propose and study a multi-scale approach to vector quantization (VQ). We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than classification. Contrasted to more standard VQ methods, such as k-means, the proposed approach leverages a...

In this work we address the problem of analyzing video sequences and representing meaningful space-time points of interest. We base our work on the 3D shearlet transform. In particular, we exploit the relation between coefficients with similar shearings to build a local representation which turns out to be really informative to understand the...

In this paper we address the problem of detecting spatio-temporal interest points in video sequences and we introduce a novel detection algorithm based on the three-dimensional shearlet transform. By evaluating our method on different application scenarios, we show we are able to extract meaningful spatio-temporal features from video sequences...