Reconstruction of Quantitative Properties from X-Rays
In some applications, the tomographic reconstruction is not an end in itself. When the goal is rather to gather information about the object being studied, the question is if it is more interesting to directly extract these information from the projections without the reconstructing step. We would then know if less projections are needed to directly get the information than to reconstruct the object. In this paper, we address the problem of extracting quantitative information about an object namely an estimation of its area, an upper and a lower bound to the perimeter given its projections from point sources.