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That seems equivalent to trying to get a joint distribution from its marginal distributions. So the constraint is probably that either it needs to be convex or
by antman 9y ago
That seems equivalent to trying to get a joint distribution from its marginal distributions. So the constraint is probably that either it needs to be convex or you need to have a prior estimation of the object's cavities which means you need to know the 3d shape beforehand to have a mathematically guaranteed measurement.
- thebooktocome 9y agoNo such constraint exists for the Radon transform. There are limitations associated with limited data, but mathematically if you had perfect knowledge of the slices you could obtain a perfect reconstruction for any compactly supported generalized function (I'd usually say distribution but I don't mean the statistical object).