Applied surface analysis

Polygonal Surface Advection applied to Strange Attractors

Strange attractors of 3D vector field flows sometimes have a fractal geometric structure in one dimension, and smooth surface behavior in the other two. General flow visualization methods show the flow dynamics well, but not the fractal structure. Here we approximate the attractor by polygonal surfaces, which reveal the fractal geometry. We start with a polygonal approximation which neglects th...

Longitudinal spatial coherence applied for surface profilometry.

A method of optical coherence profilometry, believed to be new, is demonstrated. This method is based on the spatial, rather than the temporal, coherence phenomenon. Therefore the proposed interferometric system is illuminated by a quasi-monochromatic spatial incoherent source instead of a broadband light source. The surface profile is measured by means of shifting the spatial degree of coheren...

Applied stochastic Eigen-analysis

The first part of the dissertation investigates the application of the theory of large random matrices to high-dimensional inference problems when the samples are drawn from a multivariate normal distribution. A longstanding problem in sensor array processing is addressed by designing an estimator for the number of signals in white noise that dramatically outperforms that proposed by Wax and Ka...

Problems in Applied Analysis

Let Ŷ be a sub-multiplicative plane. In [14], it is shown that X̂ (א0, . . . ,−1i) ∼ ⋂

Applied Multivariate Statistical Analysis