In this paper, we present a novel method for the fast computation of rotational invariant ”uniform local binary patterns” (uLBP) for texture analysis on 3D volume data. We introduce an alternative computation method for uLBPs in frequency space, which allows to effectively approximate uniform patterns in 2D and 3D in order to avoid the enormous computational complexity of a ”naive” 3D LBP imple...

We will express Daubechies localization operators in Bargmann Fock space. We will prove that the Hermite functions are eigenfunctions of Daubechies localization operator. By making use of generating function of eigenvalues of Daubechies localization operator, we will show some reconstruction formulas for symbol function of Daubechies localization operator with rotational invariant symbol.

The low-Reynolds-number motion of a single spherical particle between parallel walls is determined from the exact reflection of the velocity field generated by multipoles of the force density on the particle’s surface. A grand mobility tensor is constructed and couples these force multipoles to moments of the velocity field in the fluid surrounding the particle. Every element of the grand mobil...

It has recently been argued that the rate per unit volume of baryon number violation (topological transitions) in the hot, symmetric phase of electroweak theory is of the form η αwT 4 in the weak-coupling limit, where η is a nonperturbative numerical coefficient. Over the past several years, there have been attempts to extract the rate of baryon number violation from real-time simulations of cl...

In three-dimensional O(N) models, we investigate the low-momentum behavior of the two-point Green’s function G(x) in the critical region of the symmetric phase. We consider physical systems whose criticality is characterized by a a rotationally-invariant fixed point. In non rotationally-invariant physical systems with O(N)-invariant interactions, the vanishing of anisotropy in approaching the r...