The aim of this work is to present a system for recognizing isolated Arabic printed characters. This system goes through several stages: preprocessing, feature extraction and classification. Zernike moments, invariant moments and Walsh transformation are used to calculate the features. The classification is based on multilayer neural networks. A recognition rate of 98% is achieved by using Zern...

In this paper we compute moments of a Wishart matrix variate U of the form E(Q(U)) where Q(u) is a polynomial with respect to the entries of the symmetric matrix u, invariant in the sense that it depends only on the eigenvalues of the matrix u. This gives us in particular the expected value of any power of the Wishart matrix U or its inverse U−1. For our proofs, we do not rely on traditional co...

Received July 7, 1993; revised manuscript received November 22, 1993; accepted December 14, 1993 We propose orthogonal Fourier-Mellin moments, which are more suitable than Zernike moments, for scaleand rotation-invariant pattern recognition. The new orthogonal radial polynomials have more zeros than do the Zernike radial polynomials in the region of small radial distance. The orthogonal Fourier...

A finite G ≤ GL(m, R) fixes Ω ⊂ R and induces its action on P , the set of probability distributions on Ω. P is the set of distributions invariant under this action. We consider models based on P. Ignoring the invariance, a common approach to modeling P ∈ P is to progressively match its moments. Among all distributions with a requested match, one reasonable choice is P ′ that maximizes the entr...

We construct a class of Euclidean invariant distributions H indexed by a function H holomorphic at zero. These generalized functions can be considered as generalized densities w.r.t. the white noise measure and their moments fullll all Osterwalder-Schrader axioms except for reeection positivity. The case where F (s) = ?(H(is)+ 1 2 s 2); s 2 R, is a L evy characteristic is considered in AGW96]. ...

The uniqueness part of the problem of moments is concerned with whether a (multivariate) measure with finite (mixed) moments is uniquely determined by its moments. This work generalizes the above question by considering families of measures that are invariant under finite groups of (nonsingular) linear transformations. Uniqueness is then considered relative to a given family of invariant measur...

We use a skin color model based on the Mahalanobis metric and a shape analysis based on invariant moments to automatically detect and locate human faces in two-dimensional natural scene images. First, color segmentation of an input image is performed by thresholding in a perceptually plausible hue-saturation color space where the effects of the variability of human skin color and the dependency...