Search

Continuous surface interpolation is an important aspect of spatial analysis. A number of methods are used to interpolate a continuous surface, one of which is the spatial interpolation method with the Inverse Distance Weight (IDW) ratio. The purpose of this article is to develop a method of conditional spatial interpolation for finding such spatial points in the urban zone where the impact of selective accidental aerosol emissions into the city atmosphere is minimal. Conditional spatial interpolation refers to the case when the distances to the interpolated points are set by a certain condition, and it is necessary to determine the interpolated point where the above influence is minimal. In this case, spatial samples or base points used for interpolation are formed when a single powerful aerosol source is exposed to individual channels (distances). It is shown that there is an optimal relationship between the distances from the sampling point to the interpolation point and from the sampling point to the powerful aerosol source, at which the total effect of the powerful source on the interpolated point is minimal.

One of ways to increase accuracy of ground tracking of orbital satellites is high accuracy calibration of network of microtelescopes used for this purpose. To attain high accuracy utilization of stable laser sources of radiation is most expedient. To install such sources the balloon platforms mounted at some height are practiced. But utilization of only one fixed height of all sources for calibration could lead to insufficient value of signal/noise ratio due to unpredictable atmospheric events. At the same time utilization of sources with different spectral characteristics can complicate the required methodic for analysis. Authors suggest utilization of same type lasers and carrying out of calibration using platforms installed at different heights. Nonapparent function of dependence of laser beams divergence on height of balloon installation is considered for analysis. Some integrated limitation is imposed on this function. It is assumed that number of microtelescopes receiving optical radiation of one source linearly depends on height of the source. It is required to find out the optimum type of suggested non-apparent function upon which target functional composed as sum of all calibration signals could reach maximum. Utilization of such property of target functional for checking up of carried out calibration procedure is suggested. Providing for the required type of suggested non-apparent function is technically resolvable task because the beam divergence is controlled parameter and height of platform can be measured with sufficient accuracy.