The result will depend on what algorithm you chose for interpolation, e.g. linear interpolation, polynormial interpolation ...
Wether the interpolated poionts will located on or inside the original surface, it's up to wheter the mathematic model of your surface happen to be close to the model you used for interpolation. And I think your question is a pure mathematic problem, not related to LabVIEW at all.
(Just Personal idea!)