Minimum Energy

The MAXENT algorithm can be generalized for any other fumction in place of entropy. Gull and Newton [30] have suggested four such functions which can be maximized with the projections as constraints to obtain the tomographic reconstruction. After entropy, the energy functions are attractive and natural for use in physical problems. The minimum energy method (MEM) can be implemented in a manner analogous to MAXENT as follows

Compared to MAXEMT, MEM has a simper implementation while using the Lagrangian multiplier technique, since it results in a set of linear equations. Gull and Newton however have recommended the MAXENT over MED, since they found that the MEM produces a field which is negatively correlated and hence produced a biased solution.