A unified approach for circularity and spatial straightness evaluation using semi-definite programming

作者：Ding, Ye; Zhu, LiMin^*; Ding, Han

来源：International Journal of Machine Tools and Manufacture, 2007, 47(10): 1646-1650.

DOI：10.1016/j.ijmachtools.2006.12.001

• circularity evaluation
• spatial straightness evaluation
• minimum zone criterion (MZC)
• computational metrology
• semi-definite programming (SDP)
• interior-point method

This paper demonstrates that a modern optimization method known as semi-definite programming (SDP) can serve as a unified tool for circularity and spatial straightness evaluation. Based on the minimum zone criterion (MZC), the problems of circularity and spatial straightness evaluation are formulated as differentiable constrained optimization problems firstly, and then reformulated as SDP problems. Within the SDP framework, both of the two aforementioned problems can be solved efficiently using recently developed interior-point algorithms, which are available in many efficient software packages. The effectiveness and efficiency of the novel approach are illustrated by examples and numerical simulations.

• 出版日期2007-8
• 单位上海交通大学