Inversion of limited-angle tomographic data (Q1178539)

Let \(\hat f(\xi,p)=\int_{\xi\cdot x=p}f(x)dx\) be the Radon transform of a function \(f\) on \(\mathbb{R}^ n\), \(n\geq 2\). The problem of recovering \(f\) from \(\hat f\) for \(\xi\) in a proper subset of \(S^{n-1}\) is known as the limited angle tomography problem. The author gives an inversion formula based on analytical continuation and discusses its numerical implementation.