The use of natural symmetries (mirror images) in a well-defined family of patterns (human
faces) is discussed within the framework of the Karhunen-Loeve expansion. This results in an …

The Karhunen-Loeve transform (KLT) is a key element of many signal processing and
communication tasks. Many recent applications involve distributed signal processing, where it is …

The Karhunen-Loeve (KL) transform is an optimal method for approximating a set of vectors,
which was used in image processing and computer vision for several tasks. Its …

The goal of image compression is to store an image in a more compact form, ie, a representation
that requires fewer bits for encoding than the original image. This is possible for images …

We present a novel generic tool for data compression and filtering: the generalized
Karhunen-Loeve (GKL) transform. The GKL transform minimizes a distance between any given …

The Karhunen-Lo6ve expansion has been used previously to extract important features for
representing samples taken from a given distribution. A method is developed herein to use …

… -The Karhunen-Loeve transform for a class of signals is proven to be a set of periodic sine
functions and this Karhunen-… Watanabe, “Karhunen-Loeve expansion and factor analysis, …

The problem of using the Karhunen–Loève transform with partial data is addressed. Given a
set of empirical eigenfunctions, we show how to recover the modal coefficients for each …

… In the field of stochastic process, the Karhunen-Loeve … Karhunen-Loeve expansion to some
fields of statistics. The first two chapters review the theoretical background of the Karhunen-…

A unified and practical framework is developed for generating second-order stationary and
non-stationary, Gaussian and non-Gaussian processes with a specified marginal distribution …