  This is the first report on Working Paper WP-RFM-14-01. The potential and
capability of sparse representations is well-known. However, their
(multivariate variable) vectorial form, which is completely fine in many fields
and disciplines, results in removal and filtering of important "spatial"
relations that are implicitly carried by two-dimensional [or multi-dimensional]
objects, such as images. In this paper, a new approach, called spiralet sparse
representation, is proposed in order to develop an augmented representation and
therefore a modified sparse representation and theory, which is capable to
preserve the data associated to the spatial relations.
