Abstract
Techniques are presented for the construction and visualization of a function defined over a closed surface domain which depends on a discrete sample of measurements at arbitrary locations on the domain surface. The interpolating function is constructed by first finding a one-to-one correspondence between the closed surface domain and a sphere, and then a corresponding scattered data interpolation problem over the sphere is solved. Visualization techniques include color blended contour regions on the domain surface and transparent surface graphs projected from the domain.
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