A new mathematical formulation of the problem of processing the results of measurements of small segments of circles, spheres, cylinders, etc., on the basis of Tikhonov’s methods of regularization for the purpose of solving ill-posed problems is proposed. Computational and physical experiments on a coordinate-measurement machine involving the measurement of small segments of spheres confirmed the high precision with which the parameters are determined by means of the new method.
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V. P. Suslin, A. V. Dzhunkovskii, and M. G. Shuter, Zakonod. Prikl. Metrol., No. 6, 39 (2008).
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Translated from Izmeritel’naya Tekhnika, No. 7, pp. 23–36, July, 2007.
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Suslin, V.P., Dzhunkovskii, A.V. Application of the method of regularization to solve ill-posed problems of coordinate measurements. Meas Tech 52, 719–724 (2009). https://doi.org/10.1007/s11018-009-9351-y
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DOI: https://doi.org/10.1007/s11018-009-9351-y