In summary, a new approach for automated analysis and classification of noncovalent interactions has been developed. The key feature of the reported methodology is the filtration of the direct interatomic contacts from the other background structural features based on the LoS concept. The validity of this approach has been confirmed by density functional theory calculations. The LoS concept was used to recompute RvdW for light elements, which turned out to be substantially larger than those currently accepted by the chemistry community. Our analysis reveals that the underestimations of the "atomic sizes" noted earlier for most tabulated vdW radii (Rhalf) is solely related to the deficiencies of the datasets used for their determination. The Rmax introduced here are free from statistical bias and are based on clear physical grounds. We anticipate the high practical utility of Rmax, and particularly, their atom type-specific variations for improving of molecular sizes in different chemical methods and approaches, and for the analysis of intermolecular interactions on a wide variety of systems including the experimental structural databases and the results of theoretical calculations on molecular and condensed systems relevant to various fields of chemistry and material sciences. The current LoS approach implemented now in the relevant software enables the quantitative analysis of specificity, anisotropy and steric effects of intermolecular interactions while benchmarking databases as well as studying specific systems.