2012
DOI: 10.1088/0957-0233/23/5/054005
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A task specific uncertainty analysis method for least-squares-based form characterization of ultra-precision freeform surfaces

Abstract: In the measurement of ultra-precision freeform surfaces, least-squares-based form characterization methods are widely used to evaluate the form error of the measured surfaces. Although many methodologies have been proposed in recent years to improve the efficiency of the characterization process, relatively little research has been conducted on the analysis of associated uncertainty in the characterization results which may result from those characterization methods being used. As a result, this paper presents… Show more

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Cited by 25 publications
(13 citation statements)
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“…The smoothing technique is wildly applied in scientific research and industry areas. The sampled data are always affected by vibration, electromagnetic interference, transmission path, quantization error, and so on; consequently, the obtained data is mutational, with spikes, and jump [23][24][25] . Therefore, it is important to confirm the obtained data is reliable and available before signal processing.…”
Section: Refining the Time-frequency Characteristic Of Non-stationary...mentioning
confidence: 99%
“…The smoothing technique is wildly applied in scientific research and industry areas. The sampled data are always affected by vibration, electromagnetic interference, transmission path, quantization error, and so on; consequently, the obtained data is mutational, with spikes, and jump [23][24][25] . Therefore, it is important to confirm the obtained data is reliable and available before signal processing.…”
Section: Refining the Time-frequency Characteristic Of Non-stationary...mentioning
confidence: 99%
“…This parameter is defined as the value of the largest positive local flatness deviation added to the absolute value of the largest negative local flatness deviation (established for the reference plane determined by the Minimum Zone Method (MZM) [9]- [10] as well as Least Squares Method (LSM) [11]- [12]. The MZM is characterized by higher accuracy, however, the LSM is more useful to evaluate the flatness deviation of the profiles due to the relatively simple method of determining the reference plane.…”
Section: Characteristics Of Flatness Error Parametersmentioning
confidence: 99%
“…Inaccurate surface matching method results in misalignment of coordinate systems of two matching objects which cause serious measurement error. Therefore, investigation has been carried by Ren et al [11] CMM. In fact, an online error compensation system based on three laser optical multi-degree-of-freedom measurement systems (MDFM systems) for CMMs has been presented by Huang and Ni [13].…”
Section: Measurement Uncertainties Associated With Cmmmentioning
confidence: 99%