Limits to Image Reconstruction from Restricted Angular Input

Distortion in an object due to the unavailability of some Fourier components in a cone-shaped region is analyzed. The results throw light on the factors that limit the accuracy in reconstructing objects from limited-angle input in practice. It is also shown that norm- or entropy-related reconstruction methods are not expected to improve the fidelity of the reconstructed images; only more a priori knowledge of exact nature on the object can serve this purpose.