中文摘要：

基于对多孔径拼接测量技术基本原理的研究，提出在拼接坐标变换时采用四元数法进行子孔径的旋转和平移，推导构建了多孔径拼接数学模型，并给出了确定载物台旋转轴线的测量方法。计算机模拟验证了该拼接测量方法的精确性，基于光栅条纹投射系统进行三维物体的拼接测量，实验结果证明了这种方法的有效性。与传统方法相比，该方法具有运算简单、速度快、精确等特点。

英文摘要：

According to the fundamental principle of multi-aperture connection technique, an effective method which makes use of quaternion theory is presented to implement the coordinate transformation for the rotation and translation of aperture. The mathematic model of multi-aperture connection is deduced, and a new determination method for the revolution axis of rotary stage is also presented. The accuracy of this method is theoretically verified by computer simulation, and the experimental measurement on the basis of grating projection system is carried out to demonstrate the validity of this suggested method. Compared with the conventional method, this method offers with such advantages as computational simplicity, high efficiency and reasonable accuracy.