We've been on a project that given us in Medical Imaging Systems class about that Computed Tomography Simulation on MATLAB for 3 months. We are still going on comprehensive research on these all of subjects. We've a little information about Radon Transform, Back-projection, Central Slice Theorem ...

I have the following question: Let $V$ denote the Vitali set in the interval $E=[0,1]$ and consider the oscillation $\text{osc}(\chi_V;x)$ where $\chi_V$ is the characteristic function of $V$ in $E$. The goal is to compute the integral $\displaystyle \int_E \text{osc}(\chi_V;x) d\mu$ w.r.t the Le...