Conclusions
The above technique was used for measuring and appropriately processing the results obtained for spherical (concave and convex), parabolic, elliptical, and hyperbolic surfaces (in the case of a spherical surface the measured distance d is the radius r).
The obtained results were found to be so precise that they can be recommended for application in the technique for precise practical measurements of surface shapes. This method is based on comparison with surfaces of predetermined shape whose meridional cross section can be represented by an equation for a circle, parabola, and hyperbola.
After the surface measurements the meridional cross-section curves were identified according to the method under consideration. Discrepancies in the determined parameters were discovered by comparing the parameters of surfaces with a given shape to the identified surfaces. Thus, the discrepancies for the different surfaces are: spherical — 1·10−3, elliptical and hyperbolic — 2.10−2, parabolic — 6·10−3.
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Translated from Izmeritel'naya Tekhnika, No. 1, pp. 13–15, January, 1981.
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Štuller, G. Technique for testing aspherical surfaces. Meas Tech 24, 3–7 (1981). https://doi.org/10.1007/BF00828596
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DOI: https://doi.org/10.1007/BF00828596