针对在遥感图像处理中，在进行图像像素坐标与地理坐标相互转换时，转换速度和转换精度不能同时满足的矛盾，引入索引矩阵的概念，提出并实现了一种新的快速转换算法。该算法能快速、精确地进行地理坐标与图像像素坐标的相互转换。通过MODIS图像验证，可在接收图像的同时，实时地将经、纬度网格，省界(或州界)等地理信息叠加到卫星图像上。这对于要求实时处理的应用任务，如火灾监测的快速定位、军事侦察等具有极其重要的价值。

Coordinating transformation between image of GIS data and geodetic coordinates is problem frequently met in processing of remote sensing images, which involves a contradiction between processing speed and conversion accuracy. To solve this contradiction, a new algorithm which introduces a new conception of Index Array is developed base on analysis existing methods of registration, which can be used to retrieve pixels of corresponding coordinates directly and avoid heavy computation need by traditional searching. This algorithm is characterized of quick accurate transformation between the two coordinates, and allows real-time superposing geographical info, such as geographical coordinates and boundaries, on real time received remote sensing images which proves to be correct by experiments in MODIS real time data receiving.