A method for acquiring image data obtains, for an intraoral feature, optical coherence tomography (OCT) data in three dimensions wherein at least one dimension is pseudo-randomly or randomly sampled and reconstructs an image volume of the intraoral feature using compressive sensing, wherein data density of the reconstructed image volume is larger than that of the obtained OCT data in the at least one dimension or according to a corresponding transform. The method renders the reconstructed image volume for display.