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Die herleiding van ’n datapuntkonsentrasie - afhanklike gewigsfunksie vir interpolasie na reënval - roosterpuntvelde
Author(s) -
Christo Rautenbach
Publication year - 1996
Publication title -
suid-afrikaanse tydskrif vir natuurwetenskap en tegnologie/˜die œsuid-afrikaanse tydskrif vir natuurwetenskap en tegnologie
Language(s) - English
Resource type - Journals
eISSN - 2222-4173
pISSN - 0254-3486
DOI - 10.4102/satnt.v15i4.650
Subject(s) - homogeneous , interpolation (computer graphics) , grid , function (biology) , field (mathematics) , variable (mathematics) , weight function , geography , mathematics , algorithm , computer science , statistics , combinatorics , geodesy , biology , mathematical analysis , telecommunications , pure mathematics , frame (networking) , evolutionary biology
Several interpolation algorithms have been developed to create homogeneous gridfields from heterogeneously distributed data. A shortcoming in most of these algorithms is the assumption that data field concentrations are fairly homogeneous over the grid field area. The method for constructing the weight functions as discussed here overcomes this problem by including a variable dependent on the concentration of data points in the weight function. A rainfall data field for South Africa is compiled by this algorithm. The concentration of climate stations in South Africa varies significantly

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