Abstract In the previous works, limiting case for motion of a rigid body about fixed point in Newtonian force field, which comes from gravity center lies on Z -axis, is solved. The authors apply small parameter technique achieved giving sufficiently large angular velocity component r o z -axis body. periodic solutions are obtained neighborhood tends to $$\infty$$ <mml:math xmlns:mml="http://www...

Scale and orientation steerable 2D filters are constructed using a frame of Erlang functions in the Fourier domain. Erlang forms for the radial frequency characteristic are shown to provide complex quadrature filters which can be steered in a scale parameter, . Oriented, spatial domain filters are constructed by imposing an appropriate angular selectivity in the frequency domain. A filter bank ...

Spin-polarized low-energy electron microscopy was used to image a magnetite crystal with (001) surface orientation. Sets of spin-dependent images of magnetic domain patterns observed in this surface were used to map the direction of the magnetization vector with high spatial and angular resolution. We find that domains are magnetized along the surface <110> directions, and domain wall structure...

We demonstrate a new method of detecting the presence of ferroelectric domains based on non-phase-matched second-harmonic generation. If a domain boundary is tilted relative to the input and output faces of the crystal, the far-field second-harmonic light consists of multiple beams, in contrast to the single beam generated in a single-domain crystal. The angular separation of the beams provides...

Light transport has been analyzed extensively, in both the primal domain and the frequency domain; the latter provides intuition of effects introduced by free space propagation and by optical elements, and allows for optimal designs of computational cameras for tailored, efficient information capture. Here, we relax the common assumption that the speed of light is infinite and analyze free spac...