Linear and areal surface roughness assessments for the study of tooth wear in human enamel

To test 8 models of linear surface roughness assessment in characterizing surface profile description and to correlate these models with equivalent areal parameters over sound human enamel in vitro.

Thirty enamel blocks were randomly selected. The roughness data (2D-Rp; Rv; Rz; Rc; Rt; Ra; Rq; Rsk; Rku/3D-Sp; Sv; Sz; Sa; Sq; Ssk; Sku) was obtained in duplicate in a non-contact 3D optical profilometer. The models were composed by 1 single vertical trace (model 1) until 8 traces (model 8 composed by three vertical traces, three horizontal traces, and two diagonal).

The addition of linear sampling traces to the enamel blocks did not result in Rp, Rv, Rz, Rc, Rt, Ra, Rq, Rsk, and Rku value changes (low power-from 5 to 72%). Significant Spearman's correlation coefficients were obtained in most correlation analysis (Rp ↔ Sp; Rv ↔ Sv; Rz ↔ Sz; Ra ↔ Sa; Rq ↔ Sq; and Rku ↔ Sku).

A single vertical trace in the middle of the sample was representative of the overall enamel surface roughness (Rp, Rv, Rz, Rc, Rt, Ra, Rq, Rsk, and Rku) models. The majority of the assessed models in the correlation evaluation presented significant and positive association.

The findings highlight the applicable model for roughness analysis over human enamel recommended for research and in situ trials assessments.