Taylor Hobson Ltd, New Star Road, Leicester LE4 9JQ, UK.
Philos Trans A Math Phys Eng Sci. 2012 Aug 28;370(1973):4066-88. doi: 10.1098/rsta.2011.0379.
The aim of precision engineering is the accurate control of geometry. For this reason, mathematics has a long association with precision engineering: from the calculation and correction of angular scales used in surveying and astronomical instrumentation to statistical averaging techniques used to increase precision. This study illustrates the enabling role the mathematical sciences are playing in precision engineering: modelling physical processes, instruments and complex geometries, statistical characterization of metrology systems and error compensation.
精密工程的目标是对几何形状进行精确控制。出于这个原因,数学与精密工程有着悠久的历史渊源:从测量和天文仪器中使用的角刻度的计算和校正,到用于提高精度的统计平均技术。本研究说明了数学科学在精密工程中的作用:对物理过程、仪器和复杂几何形状进行建模,对计量系统的统计特性进行描述以及进行误差补偿。