the present paper compares full kinetics mechanisms in numerical modelling of porous radiant burners (prb), with their reduced forms. the two most frequently used mechanisms of methane combustion (gri3.0 and miller) were selected and their effects were examined on temperature, species concentration, burning speed, and pollutant emission. while the findings of numerical simulation of prb show fi...

Smoothness is a desirable characteristic of interpolated zero curves; not only is it intuitively appealing, but there is some evidence that it provides more accurate pricing of securities. This paper outlines the mathematics necessary to understand the smooth interpolation of zero curves, and describes two useful methods: cubic-spline interpolation—which guarantees the smoothest interpolation o...

The interpolation techniques for the time-of-flight estimation have been under study. The ToF estimation was done using the direct correlation technique of the sampled signal. More accurate estimation was done using interpolation between the samples. Three interpolation techniques for discrete direct correlation are discussed: linear interpolation of zero crossing, imaginary part of direct corr...

We discuss linear methods for interpolation, including nearest neighbor, bilinear, bicubic, splines, and sinc interpolation. We focus on separable interpolation, so most of what is said applies to one-dimensional interpolation as well as N-dimensional separable interpolation. Source Code The source code (ANSI C), its documentation, and the online demo are accessible at the IPOL web page of this...

Spatial interpolation of rain gauge data is important in forcing of hydrological simulations or evaluation of weather predictions, for example. This paper investigates the application of statistical distance, like one minus common variance of observation time series, between data sites instead of geographical distance in interpolation. Here, as a typical representative of interpolation methods ...

Consider a family of functions of a single variable x: Φ(x; a0, a1, . . . , an), where a0, . . . , an are the parameters. The problem of interpolation for Φ can be stated as follows: Given n + 1 real or complex pairs of numbers (xi, fi), i = 0, . . . , n, with xi 6= xk for i 6= k, determine a0, . . . , an such that Φ(xi; a0, . . . , an) = fi, i = 0, . . . , n. The above is a linear interpolatio...

In this paper, we propose two adaptive interlaced-to-progressive conversion techniques in which the adequacy of the estimated motion vector is evaluated. If the motion vector is unlikely to give a good temporal motion compensated interpolation result, spatial interpolation is favored or selected to avoid temporal artifacts. In the rst proposed interlaced-to-progressive conversion technique, cal...

In the case of direct-illumination, we represent visibility at each azimuthal direction in the NLP basis, whereas the approach in [SN08] simply stores the maximum blocking angle. In order to construct the SH visibility per azimuthal wedge, we use the NLP-to-SH blending matrices, whereas the approach in [SN08] queries pre-computed 2D tables of linearly blended SH projections of individual SH wed...