We address problems of the general form: given a J-dimensional binary (0-or 1-valued) vector a, a system of E of linear equations which a satisfies and a domain 3 C ~J which contains a, when is a the unique solution of E in 2,? More generally, we aim at finding conditions for the invariance of a particular position j, 1 <~j<<,J (meaning that bj = ag, for all solutions b of E in 3). We investiga...

We investigate the global and local linear independence of any compactly supported distributions by using time domain spaces, and of re-nable vectors by invariant linear spaces.

The maximal index of a Euclidean lattice L of dimension n is the maximal index of the sublattices of L spanned by n independent minimal vectors of L. In this paper, we prove that a perfect lattice of maximal index two which is not provided by a cross-section has dimension at most 5.

In this paper, we introduce a rotational invariant feature set for texture segmentation and classification, based on an extension of fractal dimension (FD) features. The FD extracts roughness information from images considering all available scales at once. In this work, a single scale is considered at a time so that textures with scale-dependent properties are satisfactorily characterized. Sin...