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Application of the least-squares method in processing profilograms

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Conclusions

The orthogonal-regression-line factors have a nonlinear relationship to the recording scale, and therefore, the median plotted on the profilogram does not correspond to that of the profile. The error in determining the surface-roughness parameters is eliminated by using the formulas (7), (8), and (9). The median of a stationary normal process plotted by means of the least-squares method differs but little from the orthogonal regression line even if the amplitude of waviness is three times greater than that of surface roughness. Moreover, this median's factors have a linear relationship to the scale factors and require a smaller number of mathematical operations for their evaluation. Such a median plotted on the profilogram strictly corresponds to the profile's median.

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Literature cited

  1. Yu. V. Linnik and A. P. Khusu, Engineer's Handbook of the Academy of Sciences, USSR, 154-15D, No. 20 (1954).

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Additional information

Translated from Izmeritel'naya Tekhnika, No. 2, pp. 84–85, February, 1973.

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Girshfel'd, L.Z. Application of the least-squares method in processing profilograms. Meas Tech 16, 294–297 (1973). https://doi.org/10.1007/BF00812584

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  • DOI: https://doi.org/10.1007/BF00812584

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