Texture analysis with X-ray diffraction data is the analysis of the orientation distribution by volume and asks for a measure of the volume portion ∆V/V of a polycrystalline specimen of total volume V carrying crystal grains with orientations within a range (volume element) ∆G ⊂ G of the subgroup G of all feasible orientations G ⊂ SO(3). Assuming that the measure possesses a probability density...

The generalized spherical Radon transform associates the mean values over spherical tori to a function f defined on S ⊂ H, where the elements of S are considered as quaternions representing rotations. It is introduced into the analysis of crystallographic preferred orientation and identified with the probability density function corresponding to the angle distribution function W . Eventually, t...

We infer the fractional coverage of sea ice leads (as concentration) in the Arctic from Advanced Microwave Scanning Radiometer for Earth Observing System (EOS) (AMSR-E) brightness temperatures. The lead concentration resolves leads of at least 3 km in width. We introduce a new algorithm based on the progressive probabilistic Hough transform to automatically infer lead positions and orientations...

We derive integral representations suitable for studying the focusing of electromagnetic waves through a symmetrically hyperbolic focusing lens into uniaxial crystal in the presence of cylindrical and coma aberrations using Maslov’s method. The uniaxial crystal used is the negative crystal LiNbO3. Numerical computations are made to obtain the results for focused fields inside negative uniaxial ...

We studied the physiological orientation biases of over 700 relay cells in the cat's dorsal lateral geniculate nucleus (LGNd). Relay cells were sampled at regular intervals along horizontally as well as vertically oriented electrode penetrations in a fashion analogous to that used previously in studies of visual cortex (Hubel and Wiesel, 1962). The strengths of the orientation biases and the di...