A Sparsity-Constrained Preconditioned Kaczmarz Reconstruction Method for Fluorescence Molecular Tomography

Figure 1

Geometric interpretations of the Kaczmarz algorithm and the preconditioned Kaczmarz algorithm applied to a 2D problem. (a) The red dashed lines represent the two equations in the 2D solution space; the blue dots and arrows show the convergence of the Kaczmarz algorithm to the solution. (b) The green dashed lines represent the two preconditioned equations in the 2D solution space; the blue diamond and arrow show the convergence of the preconditioned Kaczmarz algorithm to the solution.

(a)

(b)