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Interpolation is a procedure for computing the values of a function at unsampled locations using the known values at sampled points. When using GIS, spatial distributions of physical and socioeconomic phenomena can often be approximated by continuous, singlevalued functions that depend on location in space. Typical examples are heights, temperature, precipitation, soil properties, or population densities. Data that characterize these phenomena are usually measured at points or along lines (profiles, contours), often irregularly distributed in space and time. On the other hand, visualization, analysis, and modeling of this type of fields within GIS are often based on a raster representation. Interpolation is therefore needed to support transformations between different discrete representations of spatial and spatiotemporal fields, typically to transform irregular point or line data to ...

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