Abstract
This paper presents mathematical models describing extended objects with complex configuration used for planning satellite imagery with optoelectronic scanners of submeter spatial resolution. The most efficient spline approximation methods were used for mathematical description of extended objects with complex configuration. The proposed method ensures obtaining maximum coverage of the extended object in one-orbit period by choosing an appropriate spline smoothing coefficient, shifting and turning coverage contour. The results of computer simulation of extended object imagery are given, taking into account the swath width of the imaging instrument, the required scanning direction and limitations on retargeting angles range and satellite angular velocities.