If headlights for automobiles are put on the market, legal requirements must be complied with. Whether the oncoming traffic is dazzled by the headlights can be determined from the luminous intensity distribution curve (LID). For this, the so-called cut-off line must be determined. A declaration of conformity is only possible if the uncertainties of all sizes are considered. A measured value in the LID consists of a direction, the solid angle, and an amount, the luminous intensity. If you represent each value of the LID as a vector and interpolate the support points, you get the luminous intensity body. When comparing LIDs according to the prior art, the luminous intensities are compared in pairs for each solid angle. During a measurement, the position of the object in the measurement coordinate system is unknown, for example due to misalignment. As a result, the object coordinate system is shifted to the measurement coordinate system and a pairwise comparison is not expedient for each spatial direction. If LIDs are compared on the basis of the intrinsic properties of the LID body, the orientation of the LID can be found in the measurement coordinate system. The aim of this work is to compare two LIDs based on the intrinsic properties of the LID body.