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Scattered data interpolation

Many tasks start with gathering the data by scanning the real world. Often, this data comes in an
unstructured (scattered) form, where each sample may fall anywhere in the domain. This so-called
scattered data must not be confused with unstructured data, where the samples themselves have no
specified structure.

The scattered data represents just a small set of values of a spatially varying quantity, which we often
want to evaluate not only at the sample locations but also at arbitrary locations between the samples.
We therefore need to use some kind of interpolation to be able to get a full view of the data.

Program

Program implements both the basic and the modified Shepard’s method in order to interpolate the input samples and output a regular grid (a volume) that can be visualized in a volume rendering application. The program will be given a bounding box in order to construct the volume, and the parameters the interpolation itself. The distance metric is be Euclidean. To accelerate the search the nearest neighbors and octree are used.

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Implementation of both the basic and the modified Shepard’s method in order to interpolate the input samples and output a regular grid (a volume) that can be visualized in a volume rendering application,

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