The N-Normalization is an efficient method for normalizing a given similarity computed among multimedia objects. It can be considered for clustering and kernel enhancement. However, most approaches to N-Normalization parametrize the method arbitrarily in an ad-hoc manner. In this paper, we show that the optimal parameterization is tightly related to the geometry of the problem at hand. For that purpose , we propose a method for estimating an optimal parameteriza-tion given only the associated pair-wise similarities computed from any specific dataset. This allows us to normalize the similarity in a meaningful manner. More specifically, the proposed method allows us to improve retrieval performance as well as minimize unwanted phenomena such as hubs and orphans.