In the last four decades there has been enormous progress in Shape from Shading (SfS) with respect to both modelling and numerics. In particular approaches based on advanced model assumptions such as perspective cameras and non-Lambertian surfaces have become very popular. However, regarding the positioning of the light source, almost all recent approaches still follow the simplest geometric co...

2. Development of New Spherical Grid: Yin-Yang Grid Since the finite difference method enables us to make highly optimized programs for massively parallel computers, we exploit the possibility of the finite difference method for simulations in spherical shell geometry with radius r (ri ≤ r ≤ ro), colatitude θ (0 ≤ θ ≤ π), and longitude φ (0 ≤ φ < 2π). Because there is no grid mesh that is ortho...

Cloaking refers to hiding a body from detection by surrounding it with a coating consisting of an unusual anisotropic nonhomogeneous material. The permittivity and permeability of such a cloak are determined by the coordinate transformation of compressing a hidden body into a point or a line. In this work, the scattering properties of cloaked spherical bodies (conducting and dielectric) are inv...

The Fermion Spherical harmonics [Y m l (θ, φ) for half-odd-integer l and m presented in a previous paper] are shown to have the same eigenfunction properties as the well-known Boson Spherical Harmonics [Y m l (θ, φ) for integer l and m]. The Fermion functions are shown to differ from the Boson functions in so far as the ladder operators M+ (M−) that ascend (descend) the sequence of harmonics ov...

Do there exist circular and spherical copulas in [Formula: see text]? That is, do there exist circularly symmetric distributions on the unit disk in [Formula: see text] and spherically symmetric distributions on the unit ball in [Formula: see text], d ≥ 3, whose one-dimensional marginal distributions are uniform? The answer is yes for d = 2 and 3, where the circular and spherical copulas are un...

In 2003, a method of measurement for radiated RF power and receiver performance was proposed by CTIA. In the certification [1], it is recommended that radiation characteristics in real operative state should be evaluated. Although maximal EIRP has been used to obtain radiated power of radio equipments, it cannot always indicate their performance in real operative state. Therefore, CTIA certific...

We consider the approximation of some highly oscillatory weakly singular surface integrals, arising from boundary integral methods with smooth global basis functions for solving problems of high frequency acoustic scattering by three dimensional convex obstacles, described globally in spherical coordinates. As the frequency of the incident wave increases, the performance of standard quadrature ...