We present a fitted model of sky dome radiance and attenuation for realistic terrestrial atmospheres. Using scatterer distribution data from atmospheric measurement data, our considerably improves on the visual realism existing analytical clear models, as well interactive methods that are based approximating light transport. also provide features not found in models so far: patterns post-sunset...

This paper derives the EDITRK4 technique, which is an exponentially fitted diagonally implicit RK method for solving ODEs . approach intended to integrate exactly initial value problems (IVPs), their solutions consist of linear combinations group functions and fitting problems, with being problem’s major frequency utilized improve precision method. The modified a new three-stage fourth-order ex...

On reflexive spaces trigonometrically well-bounded operators (abbreviated “twbo’s”) have an operator-ergodic-theory characterization as the invertible operators U whose rotates “transfer” the discrete Hilbert averages (C, 1)-boundedly. Twbo’s permeate many settings of modern analysis, and this note treats advances in their spectral theory, Fourier analysis, and operator ergodic theory made poss...

In order to understand the role of oblique retinal image disparities in the perception of stereoscopic depth, we measured the depth perceived from random dot stereograms in which phase disparities were introduced in a selected band of stimulus orientations. A band of orientation was defined by a center orientation that ranged from 7.5 (near vertical) to 82.5 o[rientation]deg and by a bandwidth ...

There is a vast amount of work on high-dimensional regression. The common starting point for the existing theoretical to assume data generating model homoscedastic linear regression with some sparsity structure. In reality homoscedasticity assumption often violated, and hence understanding heteroscedasticity critical importance. this article we systematically study estimation heteroscedastic mo...