A simple algorithm for evaluation of minimum zone circularity error from coordinate data

Dhanish, P.B.

doi:10.1016/s0890-6955(02)00136-0

Cited by 35 publications

(21 citation statements)

References 6 publications

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“…For determination of MZC, the algorithm given by Dhanish [27] is used, while for LSC the equations given by Shunmugam [28] are utilised, with iterative calculation of the centre. The procedures used for determining the MIC and MCC are given in Appendix.…”

Section: Solution Methodologymentioning

confidence: 99%

Effect of CMM point coordinate uncertainty on uncertainties in determination of circular features

Dhanish

Mathew

2006

Measurement

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Section: Solution Methodologymentioning

confidence: 99%

Effect of CMM point coordinate uncertainty on uncertainties in determination of circular features

Dhanish

Mathew

2006

Measurement

Self Cite

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“…The method is not only limited to form deviations but also applied only to planar/flat surfaces. Others [18][19][20][21] focused on representation of circularity error.…”

Section: Tolerance Zonementioning

confidence: 99%

“…However, this is still far from intelligent system. Current status and challenges of using geometric tolerance information 19 …”

Section: Indications For Future Researchmentioning

confidence: 99%

Current status and challenges of using geometric tolerance information in intelligent manufacturing systems

Lemu

2014

Adv. Manuf.

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Recent development in computer-based manufacturing and inspection has necessitated extended knowledge and usage of geometric tolerances as carriers of design intent. The aim of applying geometrical tolerances in design is to provide function-oriented precise description of part geometry where the conventional size tolerance system fails to address. In view of the current development of computer-aided systems, applying geometric tolerances opens a new research front. This article examines the challenges in applying geometric tolerance information to carry the design intent to other downstream manufacturing processes and intelligently integrate the whole system. Based on the observed practical capabilities and literature studies, it is concluded that the current computer-aided design (CAD) systems cannot effectively provide the appropriate use of geometric tolerances. This article highlights the existing challenges and proposes a scheme of algorithm development for appropriate use of tolerance symbols and conditions at the design specification stage. This, in the long run, enables the CAD model to carry the design intent and opens a window of opportunity for intelligently integrating manufacturing systems.

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“…The determination of these geometric parameters can be performed through four well-known calculation methods: least square circle (LSC), minimum zone circle (MZC), máximum inscribed circle (MIC) and minimum circumscribed circle (MCC). The literature reviewed shows metrological studies where these methods are applied for the evaluation of circular features starting from points obtained by coordínate measuring machines (CMMs) [4][5][6][7][8][9]. These studies indicate that the most significant variable in this kind of indirect measurements is the angular separation (a) between the extreme points of sean [10].…”

Section: Introductionmentioning

confidence: 99%

“…Research in the field of numerical computation have allowed the development of different algorithms capable of solving the exposed adjustment models (LSC, MZC, MCC and MIC), according to the discrete approximations mathematical approaches in the literature [8][9][10][11]. In this article we employ the Simplex method [11] for solving mathematical methods MZC, MIC and MCC, using the limagon approximation [1,12] that allows linearizing the constraints due to the optimization problems.…”

Section: Introductionmentioning

confidence: 99%

A proposal for the metrological characterization of circular features with digital optical machines

Maresca¹,

Gómez²,

Caja³

et al. 2012

AIP Conference Proceedings

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Abstract.This paper aims to analyze the different adjustment methods commonly used to characterize indirect metrology circular features: least square circle, minimum zone circle, máximum inscribed circle and minimum circumscribed circle. The analysis was performed from images obtained by digital optical machines. The calculation algorithms, self-developed, have been implemented in Matlab® and take into consideration as study variables: the amplitude of angular sector of the circular feature, its nominal radio and the magnification used by the optical machine. Under different conditions, it was determined the radius and circularity error of different circular standards. The comparison of the results, obtained by the different methods of adjustments used, with certified valúes for the standards, has allowed us to determine the accuracy of each method and its scope.

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A simple algorithm for evaluation of minimum zone circularity error from coordinate data

Cited by 35 publications

References 6 publications

Effect of CMM point coordinate uncertainty on uncertainties in determination of circular features

Effect of CMM point coordinate uncertainty on uncertainties in determination of circular features

Current status and challenges of using geometric tolerance information in intelligent manufacturing systems

A proposal for the metrological characterization of circular features with digital optical machines

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