Crystalline characterization poses a challenge when atomic deformation and phase transformation are occurring in an atomic simulation. Crystalline solids are typically characterized by parameters used to classify local atomic arrangements in order to extract features such as crack tips, dislocations, and free surfaces. One such characterization parameter, the common neighborhood parameter (CNP), has been used as an approach to characterize those features with an enhanced formulation applicable to non-monoatomic interactions. The present work introduces a novel approach that extends the CNP to characterize crystalline structures by means of cumulative common neighborhood parametrization (CCNP) for arbitrary structures. The method is compared with the centrosymmetry parameter (CSP) and the common neighborhood parameter (CNA). The methods were applied to a molecular dynamics (MD) simulation of uniaxial tension in an aluminum nanowire. The results showed CCNP's superior performance in detecting distinct surface features from bulk features with excellent parameter value ranges. The method was also extended to characterize a complex P4 2 /mnm space group, nonmonoatomic crystal with no common first-nearest neighbors in a type I MD fracture simulation. The data refinement of the proposed method was applied to extract surface features like edges, roughness, corner, and undeformed surface atoms.