Motivations: The Barbero–Immirzi (BI) parameter is a free constant that appears in the spectra of area and volume operators of LQG. Many authors have contributed to shed light on the origin of this ambiguity. a Here we present an extension of the idea originally proposed by Gambini, Obregon and Pullin. Idea: The BI parameter is a quantization ambiguity analogous to the θ-angle of Yang–Mills gau...

We introduce an algorithm for the automatic computation of global parameterizations on arbitrary simplicial 2manifolds, whose parameter lines are guided by a given frame field, for example, by principal curvature frames. The parameter lines are globally continuous and allow a remeshing of the surface into quadrilaterals. The algorithm converts a given frame field into a single vector field on a...

We present a solution to the problem of modeling, parameter estimation, and synthesis of natural textures. The texture field is assumed to be a realization of a regular homogeneous random field, which can have a mixed spectral distribution. On the basis of a 2-D Wold-like decomposition, the field is represented as a sum of a purely indeterministic component, a harmonic component, and a countabl...

In this paper, we construct a fully homomorphic encryption (FHE) scheme over integers with the message space ZQ for any prime Q. Even for the binary case Q = 2, our decryption circuit has a smaller degree than that of the previous scheme; the multiplicative degree is reduced from O(λ(log λ)) to O(λ), where λ is the security parameter. We also extend our FHE scheme to a batch FHE scheme.

The effects of radiative heat transfer on the fully developed free convection flow of a viscous incompressible fluid-saturated porous medium between two vertical walls in the presence of a uniform gravitational field have been studied. An exact solution of the governing equations has been obtained. Radiation is found to have significant effects on the velocity field and temperature distribution...