The principle of the bundle adjustment of three-line array images with Orientation Image(OI)method described by quaternion was discussed at first. Aiming at the form complex and compute intensive of the Spherical linear interpolation(Slerp)equation in bundle adjustment, a way to simplify the Slerp formula was proposed according to the characteristics of OIs, and the new mathematical model of bundle adjustment based on the simplified Slerp equation was set up. The results of several experiments with ADS40 images showed that better positioning accuracy could be achieved when the camera attitude being interpolated using Slerp equation than the traditional way of Euler angles, and the proposed method doesn't only do any bad to triangulation results, but also can significantly reduce the complexity of the bundle adjustment model and improve the speed. It is another ideal approach for the bundle adjustment of three line images.%讨论了基于四元数姿态插值方法的三线阵影像定向片平差原理,针对其中球面线性插值公式形式复杂、计算量大的问题,根据定向片的特性提出了一种简化方案,并建立了基于简化球面线性插值公式的定向片法平差模型.ADS40数据的多组实验结果表明,利用四元数球面线性插值公式进行相机姿态的内插,能取得比传统的欧拉角Lagrange多项式内插更优的平差精度;该方案在对定向片法平差的结果不产生不良影响的同时,能显著降低平差模型的复杂度,提高平差运算的速度,是另一种理想的三线阵影像平差方案.
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