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Inverse distance weighting
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=== Additional weightings === Additional weightings can be incorporated into the Inverse Distance Weighting (IDW) method to enhance interpolation accuracy by incorporating more relevant information. These additional weightings act as multipliers to the basic inverse distance weighting function. The decision to use additional weightings should be guided by [[Cross-validation (statistics)|cross-validation]] to ensure optimal performance. For example: * [[Elevation]] difference β applied for [[wind]] speed interpolation.<ref>{{Cite journal |last1=Palomino |first1=I. |last2=MartΓn |first2=F. |date=1995-07-01 |title=A Simple Method for Spatial Interpolation of the Wind in Complex Terrain |url=https://journals.ametsoc.org/view/journals/apme/34/7/1520-0450-34_7_1678.xml |journal=Journal of Applied Meteorology and Climatology |language=EN |volume=34 |issue=7 |pages=1678β1693 |doi=10.1175/1520-0450-34.7.1678 |bibcode=1995JApMe..34.1678P |issn=1520-0450}}</ref> * CUTHI β is used when data is non-homogeneously distributed with [[Cluster analysis|clusters]] and when IDW exhibits the bullseye effect.<ref>{{cite journal | title=A Simple Solution for the Inverse Distance Weighting Interpolation (IDW) Clustering Problem | journal=Sci | date=March 2025 | volume=7 | issue=1 | last1=Nir | first1=Benmoshe | page=30 |doi=10.3390/sci7010030| doi-access=free }}</ref>
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