Tomographic reconstruction of a convex body (Q1088157)

Let K be a bounded convex set in the euclidean plane. Let \(\sigma =F_{\theta}(p)\) be the length of the chord that the line G(p,\(\theta)\) determines on K, where p,\(\theta\) are the normal coordinates of G. The paper provides an approximate reconstruction of K from the functions \(F_{\theta_ i}(p)\), or a finite number of their values, for some given values \(\theta_ i\) \((i=1,2,...,m)\). The construction gives inscribed and circumscribed polygons which approximate K. At the end some nice examples are given using a computer.