The full capacity of the existing transmission lines is often underutilized
due to the system stability requirements. Controllable network devices represent
the effective means of improving the system stability, and their deployment allows
better use of the existing transmission facilities and can help to avoid construction of
new lines. This...
Most of the existing research on mathematical morphology is
restricted to the deterministic case. This thesis addresses the void
in the results on the stochastic properties of morphological filters.
The primary results include analysis of the stochastic
properties of morphological operations, such as dilation, erosion,
closing and opening. Two unbiased...
A systematic optimization of the Cohen class time-frequency
transformation for detecting the parameters change is developed.
The local moments approach to change detection is proposed and a
general formula for the local moments is derived. The optimal
kernel functions of the time-frequency transformation are determined
based on the combined criteria...
Mathematical morphology, developed in the early 1960's for
single-component signals, has been applied to a number of image
processing applications. This investigation examines the systematic
extension of mathematical morphology to multi-variate signals.
Two approaches are considered. The first approach, the
extension of the theory of single-component morphological filters to
multi-variate...
A general discrete-time, adaptive, multidimensional framework is introduced
for estimating the motion of one or several object features from their successive
non-linear projections on an image plane. The motion model consists of
a set of linear difference equations with parameters estimated recursively from
a non-linear observation equation. The model dimensionality...