Novel aperture connection method for measurement of surface with rotation axis

摘要

A novel aperture connection method for measurement of surface with rotation axis is presented. This work is an extension of "Multi-aperture overlap-scanning technique (MAOST)" in a cylindrical coordinate system, by which a surface with rotation axis such as 360-deg shape can be accurately measured. The principle of MAOST is to make the adjacent sub-apertures partially overlapped, and then the relationship between each couple of adjacent sub-apertures can be obtained through the overlapped area to restrain the error propagation in patching these sub-apertures into an overall measurement result. So the high-precision mechanism and time-consuming system alignment is not required. Based on the inherent mapping relationship between the coordinate transformation operator and error vector, an iterative algorithm is presented, at the same itme by which we can use a set of linear equations instead of non-linear equations to calculate the actual error vector. The computer simulation test shows the excellent results. The result of experimental test of a semi-cylinder surface is also presented.