An algorithm of a freeform surfaces measurement adjustment using a specification of the workpiece coordinate system location

• Autorzy: Buša J. , Buša J. Jr. , Dovica M. , Fabian M. , Ižol P. , Honus S.

Identyfikatory

DOI

10.12913/22998624/76094

• Języki publikacji: EN

Abstrakty

EN

A difficulty of freeform surfaces evaluations lies in a setup of a coordinate measuring system in general, when it is not possible to use the standard system of alignment by a point, a line, and a surface. An algorithm for the measurement adjustment using a small workpiece coordinate system movement and rotation to achieve a smaller least square error of the produced surface for a given freeform surface defined by the function of two variables is considered. The algorithm uses the Newton method for calculation of the orthogonal distance of a measured point to a given surface and also for minimization of the sum of the distance squares. Numerical results for an example are given.

Słowa kluczowe

EN

freeform surface; cloud of points; Nelder-Mead method; Newton method

• Wydawca: Lublin University of Technology ; Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin
• Czasopismo: Advances in Science and Technology. Research Journal
• Rocznik: 2017
• Tom: Vol. 11, no 3
• Strony: 223--232
• Opis fizyczny: Bibliogr. 19 poz., fig.

Twórcy

autor

Buša J.

• Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00, Košice, Slovak Republic

autor

Buša J. Jr.

• Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00, Košice, Slovak Republic

autor

Dovica M.

• Faculty of Mechanical Engineering, Technical University of Košice, Letná 9, 042 00, Košice, Slovak Republic

autor

Fabian M.

• Faculty of Mechanical Engineering, Technical University of Košice, Letná 9, 042 00, Košice, Slovak Republic

autor

Ižol P.

• Faculty of Mechanical Engineering, Technical University of Košice, Letná 9, 042 00, Košice, Slovak Republic

autor

Honus S.

• VŠB – Technical University of Ostrava, 17. listopadu 15/2172, 708 33 Ostrava – Poruba, Czech Republic

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)