Imaging by the remote sensing camera with a wide field of view (WFV) is of great significance in the issue of polar environment. However, the instability of the image motion velocity poses a huge challenge to the observation task since the direction of the earth's rotation velocity keeps changing in the polar regions. The edge blur of polar image by the camera with the WFV is usually ignored. Therefore, a specific theoretical model that the camera images over the polar region is supposed to describe the instability distinctly. Mathematical expressions of the image motion velocity field are obtained with a novel method of velocity projection and coordinate transformation. The quantitative analysis of simulation reveals that the increasing anisotropy of the instantaneous image motion velocity field gets most significant near the poles. The value of modulation transfer function at the edge of the field of view decreased by 0.33%, which results in a discrepancy of sharpness in an image. The model is capable of explaining the edge blur, of the image from BNU-1, which provides a theoretical basis for the image motion compensation strategy of cameras with the WFV.

中文翻译：

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南极和北极大视野的遥感相机的图像运动

在极地环境问题上，具有宽视场（WFV）的遥感摄像机的成像具有重要意义。然而，由于地球旋转速度的方向在极地地区不断变化，图像运动速度的不稳定性给观测任务带来了巨大挑战。带有WFV的相机通常会忽略极性图像的边缘模糊。因此，应该使用一个特定的理论模型（摄像机在极区上成像）来清楚地描述不稳定性。利用速度投影和坐标变换的新方法获得了图像运动速度场的数学表达式。仿真的定量分析表明，瞬时图像运动速度场的各向异性增加在极点附近最为明显。视场边缘的调制传递函数值降低了0.33％，这导致图像的清晰度差异。该模型能够解释来自BNU-1的图像的边缘模糊，这为带WFV的摄像机的图像运动补偿策略提供了理论基础。