Research on anisotropy of measurement for complex curved surfaces

Zhaoyao Shi; Jie Tang; Xiuming Li; Xiaowei Wei

doi:10.1117/12.716333

13 October 2006 Research on anisotropy of measurement for complex curved surfaces

Zhaoyao Shi, Jie Tang, Xiuming Li, Xiaowei Wei

Proceedings Volume 6280, Third International Symposium on Precision Mechanical Measurements; 628027 (2006) https://doi.org/10.1117/12.716333
Event: Third International Symposium on Precision Mechanical Measurements, 2006, Urumqi, China

Abstract

This paper presents for the first time the concept of anisotropy of measurement for complex curved surfaces. Based on the theory of differential geometry, the relation between measurement error and micro-structure & form of curved surfaces is studied, which is existence proof of anisotropy, and also the basic rule of anisotropy is clarified. Through anisotropic analysis of the measurement for complex curved surfaces, series of conclusions relating to that are obtained. Those conclusions have not only theoretical meaning but also far-reaching practical value on the following aspects: precision instruments design, error budget, measuring method design, and etc.

Citation Download Citation

Zhaoyao Shi, Jie Tang, Xiuming Li, and Xiaowei Wei "Research on anisotropy of measurement for complex curved surfaces", Proc. SPIE 6280, Third International Symposium on Precision Mechanical Measurements, 628027 (13 October 2006); https://doi.org/10.1117/12.716333

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