Position Vector Tracking-based Backprojection for Compton camera

We propose a method of position vector representation based on basis vector transformation, and obtain coordinates by mapping position vector to coordinates. We apply this method to Compton camera back-projection imaging. Compared with the simple back-projection method and the Monte Carlo-based back-projection method, it has lower computational complexity and higher reconstruction efficiency and is expected to be incorporated into the iterative algorithms for dealing with initial probability density rapidly estimation, system matrix calculation to further improve the reconstruction speed