Comparison of Least Square Fitting Algorithms for the Evaluation of Roundness Error

Rhinithaa, PT and Selvakumar, P and Sudhakaran, Nikhil and Anirudh, Vysyaraju and Lawrence, Deepak K and Mathew, Jose (2017) Comparison of Least Square Fitting Algorithms for the Evaluation of Roundness Error. In: 10th International Conference on Precision, Micro, Meso and Nano Engineering, 07/12/2017, IIT Madras.

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Abstract

Roundness error is one of the significant quantifiers used in quality control of cylindrical or circular components. In both laboratories and industries, direct estimation of roundness error is predominantly obtained using the Coordinate Measuring Machine (CMM) and/or form testing device. Estimation of roundness error can be accomplished using four different reference circles viz, Minimum Circumscribed Circle (MCC), Maximum Inscribed Circle (MIC), Minimum Zone Circle (MZC) and Least Square Circle (LSC). MZC matches closely with ISO standards of roundness, while, MCC is used for roundness evaluation of shafts and MIC for holes. LSC is a very popular and widely used approach owing to its robustness, computational efficiency, and its ability to work on a wide range of datasets. Different LSC algorithms have been developed which fall into two broad categories: geometric fits and algebraic fits. The performance of these algorithms, in terms of their accuracy and computational time, is influenced by the type and size of input data. A test for the relative performance of these algorithms is necessary in order to make a decision about which algorithm is to be used for a particular application. In this paper, a few selected geometric fits and algebraic fits used for LSC fitting have been compared for different datasets. In order to quantify its ability to accommodate varied data (CMM and form profile), the performance of all the algorithms is compared using the same ten datasets measured using both devices.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Roundness Error, Least Square Circle, Coordinate Measuring Machine, form data, metrology
Subjects: Engineering > MIT Manipal > Aeronautical and Automobile
Depositing User: MIT Library
Date Deposited: 14 Jul 2018 08:52
Last Modified: 14 Jul 2018 08:52
URI: http://eprints.manipal.edu/id/eprint/151564

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