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Examples

MRI:
density, with 3 spatial attributes, 3-D grid connectivity

CFD:
magnitude, with 3 spatial and 3 orientation attributes, 3-D grid connectivity (uniform or non-uniform)

Financial:
no geometry/structure, N possibly independent components, nominal and ordinal

CAD:
3 spatial attributes with edge/polygon connections, surface properties

Remote Sensing:
multiple channels, with 2 or 3 spatial attributes, grid connectivity

Census:
multiple fields of all types, spatial attributes (e.g. address), connectivity implied by similarities in fields