This study aims at proposing an implementation of regularization mechanisms compatible with biological operators. More precisely, cortical maps code vectorial parametric quantities, computed by network of neurons. One of these methods is based on an integral approximation of the diffusion operator used in regularization mechanisms. Following this formulation, the present development defines an optimal implementation of such an integral operator with the interesting property that, when used as a model of biological plausible mechanisms, it corresponds to a simple local feedback defined over a small bounded region of the parametric space. This formalism also allows to develop the case of several cortical maps in interaction. We propose simple biologically inspired conditions to guaranty the stability of such interactions. As such it may be linked to what is processed in a cortical column of the brain and provides a biological plausible model of cortical maps computation: here feedbacks between related cortical maps are discussed.