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How to extrapolate measured field values in respect to the physical equations? The authors expose the concrete problem they had to solve and the solution they propose, by using the Boundary Integral Equation Method (BIEM). First, fictitious sources are constructed giving exactly the measured values of the field; then we compute the field in other points as for the field of these fictitious sources. In association with l.s. techniques, this method permits also in part the correction of the measurement errors.