Moving Surface Spline Interpolation Based on Green’s Function

Deng, Xiao‐Fang; Tang, Zhong'an

doi:10.1007/s11004-011-9346-5

Cited by 48 publications

(20 citation statements)

References 17 publications

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“…This minimum curvature method is suitable when the data presents peaks, as occurs in our case. Deng and Tang [17] described the advantages of the method, and they also presented an algorithm to accelerate the method.…”

Section: Resultsmentioning

confidence: 99%

Prediction of the lifetime of droplets emitted from mechanical cooling towers by numerical investigation

Sánchez

Kaiser

Parra

et al. 2015

International Journal of Heat and Mass Transfer

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A numerical modelling capable to simulate the drift and the evaporation of water droplets emitted by a mechanical cooling tower in an urban area is presented. The model is based on a real mechanical draft cooling tower situated in the surroundings of the Miguel Hernández University (Elche, Spain). An experimental study of the deposition of droplets from the cooling tower is done in order to validate the numerical modelling. This study is performed by means of the water sensitive papers technique. A biharmonic interpolation is used for obtaining the total deposition on the floor. A total of 14 cases, everyone with different atmospheric conditions, have been simulated and experimentally validated. An analytical model for the droplets lifetime prediction is validated with the results obtained from the numerical modelling. The present study shows the influence of the atmospheric and droplets conditions in the droplets lifetime, providing useful information to analyse the spread of contaminants or bacteria inside the droplets released from the cooling tower.

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Section: Resultsmentioning

confidence: 99%

Prediction of the lifetime of droplets emitted from mechanical cooling towers by numerical investigation

Sánchez

Kaiser

Parra

et al. 2015

International Journal of Heat and Mass Transfer

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“…During the generation of GRID structures, the values in interpolation nodes are computed with the use of measurement points located near the mapped node within a given search radius R (Figure 2b). The size of the radius is determined relative to the resolution of the node network, and an interpolation algorithm is selected to control the degree of generalization of the developed surface [42][43][44][45][46]. The shape of the interpolated surface generated based on GRID nodes can differ depending on the applied algorithm and its processing parameters.…”

Section: Selection Of Interpolation Algorithmmentioning

confidence: 99%

“…The shape of the interpolated surface generated based on GRID nodes can differ depending on the applied algorithm and its processing parameters. The choice of interpolation algorithm is determined by many factors, in particular, the distribution of measurement points, the resolution of the generated structure, the number of searched measurement points within a given radius, their location in sectors surrounding the node and the parameters of an interpolation algorithm [45][46][47][48]. In Figure 2, interpolation results are represented by the surfaces generated in the GRID model with inverse distance to a power (IDP), kriging (K) and radial base function (RBF) algorithms.…”

Section: Selection Of Interpolation Algorithmmentioning

confidence: 99%

A GRID-Based Spatial Interpolation Method as a Tool Supporting Real Estate Market Analyses

Szczepańska

Gościewski

Gerus-Gościewska

2020

IJGI

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The spatial distribution of prices is closely linked with the urban real estate market. Property prices are one of the key indicators of economic activity because they influence economic decisions. Decision-makers and consumers often need information about the spatial distribution of prices, but spatial-temporal analyses of the real estate market are based on the prices quoted in different locations across years (epochs). Due to this idiosyncrasy, the resulting datasets are dispersed (different across years) and difficult to compare. For this reason, the existing interpolation methods are not always effective in analyses of the real estate market. A different approach to interpolating real estate prices that supports the generation of continuous interpolated surfaces while maintaining the values of measurement points is thus needed. This paper proposes a method for replacing dispersed spatial data with a regular GRID structure. The GRID structure covers the measured object with a regular network of nodes, which supports uniform interpolation at every point of the analyzed space and a comparison of interpolation models in successive epochs (years). The proposed method was tested on a selected object. The results indicate that the GRID structure can be used in analyses of highly complex real estate markets where input data are incomplete, irregular and dispersed.

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“…The spatial interpolation function in the MATLAB tool was used, whose algorithm implementation about radial basis function was mainly based on the biharmonic green function [22]. This algorithm is a minimum curvature interpolation, with the interpolation surface constructed by the liner combination of green function with each sampling point as the center by adjusting the weights of each sampling point so that the surface could through all of them.…”

Section: Regional Distribution Characteristicsmentioning

confidence: 99%

Temporal-Spatial Variations of Concentrations of PM10 and PM2.5 in Ambient Air

Liu

Kepeng

Xiao-dong

et al. 2016

Pol. J. Environ. Stud.

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Since the space points' average concentrations of PM obtained by air quality automatic monitoring sites were less representative of PM pollution levels in the Beijing area, it was necessary to improve the spatial resolution of PM concentrations on the basis of continuous time series. In order to solve the problem, we used one-hour average concentrations of PM from March 2013 to February 2014 obtained by monitoring sites. Firstly, concentration variations with time scale of PM 2.5 and PM 10 were researched to find out their correlations and pollution grades in continuous time series. Secondly, in order to realize the spatial distribution characteristics from points to surfaces, MATLAB spatial interpolation tools were used to predict the average concentrations of PM on any latitude-longitude grid in regional surface, then spatial interpolation on longitudes and latitudes, and the PM concentrations were researched by radial basis functions based on biharmonic green function. Finally, by constructing decision functions and sample sets, the interpolation results were tested by k-fold cross validation to analyze the error distribution between monitoring values and fitted values, and then they were compared with Kriging interpolation results realized by DACE tool in MATLAB. The results showed there were periodical variations and significant correlations on the average concentrations of PM from March 2013 to February 2014 in Beijing. The PM pollutions also had obvious regional characteristics. Interpolation results of radial basis function interpolation on PM concentrations could represent their spatial distribution in Beijing, since the method had a certain precision to improve utilization of spatial information. Moreover, the analysis showed that the main factors of PM pollution were dust storms and strong winds in spring and autumn, rainfall and the warm wet climate in summer, and cold fronts and snowfall in winter. Pollution characteristics in the Beijing area were higher in the south and lower in the north, and the pollution sources might be regional transport as well as local anthropogenic sources. The conjoint analysis on time series and spatial interpolation of concentrations had significance for further research of time-space relationship of PM, and it also provided a method for understanding regional pollution characteristics.

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Moving Surface Spline Interpolation Based on Green’s Function

Cited by 48 publications

References 17 publications

Prediction of the lifetime of droplets emitted from mechanical cooling towers by numerical investigation

Prediction of the lifetime of droplets emitted from mechanical cooling towers by numerical investigation

A GRID-Based Spatial Interpolation Method as a Tool Supporting Real Estate Market Analyses

Temporal-Spatial Variations of Concentrations of PM10 and PM2.5 in Ambient Air

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