In this paper we present two methods of enhancing the eigen face approach for the compression of images of human faces. In earlier work, a series of image basis functions (eigen faces) is created using the KarhunenLoeve transform on a large set of face images (the training set). The image to be encoded can then be approximated by a linear combination of these basis functions. We propose a rever...

The spherical harmonics Y l m form a basis of the vector space V (of dimensions 2l + 1) of the eigen functions of the Laplacian on the sphere, with eigen value λl = −l (l+ 1). Here we show the existence of an other basis Φj for V, where Φj(X) ≡ (X · Nj), the l power of the scalar product of the current point with a specific null vector Nj . This very simple formulation makes calculations very e...

In this paper we present two methods of enhancing the eigen face approach for the compression of images of human faces. In earlier work, a series of image basis functions (eigen faces) is created using the KarhunenLoeve transform on a large set of face images (the training set). The image to be encoded can then be approximated by a linear combination of these basis functions. We propose a rever...

Based on the finite difference method, linear optical susceptibility, photoluminescence peak and binding energies of three first states an exciton trapped by a positive charge donor-impurity ( ) confined in InN/AlN quantum well are investigated terms size impurity position. The electron, heavy hole free bound excitons allowed eigen-values corresponding eigen-functions obtained numerically solvi...

Identi cation of independent physical/dynamical modes and corresponding principal component time series is an important aspect of climate studies for they serve as a tool for detecting and predicting climate changes. While there are a number of di erent eigen techniques their performance for identifying independent modes varies. Considered here are comparison tests of eight eigen techniques in ...

To represent the evolution of nucleic acid and protein sequence, we express the parallel and Eigen models for molecular evolution in terms of a functional integral representation with an h-letter alphabet, lifting the two-state, purine/pyrimidine assumption often made in quasi-species theory. For arbitrary h and a general mutation scheme, we obtain the solution of this model in terms of a maxim...

Both the theoretical and practical investigations of various dynamical systems need to extend the definitions of various functions defined on the real axis to the set of matrices. To this end one uses mainly three methods which are based on 1) the Jordan canonical forms, 2) the polynomial interpolation, and 3) the Cauchy integral formula. All these methods give the same result, say g(A), when t...