31 January 2013 Constrained simultaneous stitching measurement for aspheric surface
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Proceedings Volume 8759, Eighth International Symposium on Precision Engineering Measurement and Instrumentation; 875923 (2013) https://doi.org/10.1117/12.2014563
Event: International Symposium on Precision Engineering Measurement and Instrumentation 2012, 2012, Chengdu, China
Abstract
Significant errors could be result from multiple data sets due to error transfer and accumulation in each sub-aperture. The constrained simultaneous stitching method with error calibration is proposed to increase the stability of the numerical solution of the stitching algorithm. Global averaging error and constrained optimization are applied to simultaneous stitching after alignment errors calibrated. The goal of optimization and merit function is the minimization of the discrepancy between multiple data sets by including components related to various alignment errors. The values for stitching coefficients that fall within the unit sphere and minimize the mean square difference between and overlapping values can be found by iterative constrained optimization. At last, the full aperture wave-front was reconstructed by simultaneous stitching with the stitching coefficients required to remain within meaningful bounds.
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Weibo Wang, Weibo Wang, Zhigang Fan, Zhigang Fan, } "Constrained simultaneous stitching measurement for aspheric surface", Proc. SPIE 8759, Eighth International Symposium on Precision Engineering Measurement and Instrumentation, 875923 (31 January 2013); doi: 10.1117/12.2014563; https://doi.org/10.1117/12.2014563
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