Reconstruction of the shape and size of objects from two orthogonal projections (Q1824862)

For a certain family V of convex regular regions in \({\mathbb{R}}^ d\) with a common projection along the \(x_ d\)-axis the one-to-one correspondence between V and the family L of its projections along the \(x_ 1\)-axis is established. This result gives a theoretical foundation for some reconstruction operations given by the authors in a previous paper.