--Purpose: This work presents an automatic characterization of the Alzheimer's disease describing the illness as a multi-directional departure from a baseline defining the control state, being these directions determined by a distance between functional-equivalent anatomical regions. Methods: After a brain parcellation, a region is described by its histogram of gray levels and the Earth mover distance establishes how close or far these regions are. The medoid of the control group is set as the reference and any brain is characterized by its set of distances to this medoid. Evaluation: This hypothesis was assessed by separating groups of patients with mild Alzheimer¿s disease and mild cognitive impairment from control subjects, using a subset of the Open Access Series of Imaging Studies (OASIS) database. An additional experiment evaluated the method generalization and consisted in training with the OASIS data and testing with the Minimal Interval Resonance Imaging in Alzheimer¿s Diseas