Surfaces Identification Based on Parameters Circulation

Abstract

The identification technique based on parameters circulation consists in the cyclic search of the model parameters values for which the optimum similitude between the model and the actual surface is reached.
In the appliance of this technique we start from the fact that the deviations from form as so as from position regarding the theoretically surface which appear during surface generation should belong to a small domain namely tolerance field. On the other hand, the mathematical model can be so built that the model parameters are defined as dimensions deviations theyself. In this case the parameters values will belong to a small domain too. The fundament of this technique is the extremes uniqueness in a small enough search space.
By this method is possible to determine the surface position deviations as well as the surface dimensions deviations regarding the theoretically values.