Most of the large width area-array cameras use multiple detectors stitching imaging to increase the width. In order to improve the efficiency of data use, users make a request to acquire geometrically lossless stitching products. The traditional stitching method is difficult to apply due to the small or even no overlapping area between detectors and the increased distortion after stitching. Aiming at this problem, this paper proposes a sensor corrected method based on virtual area-array imaging of the object space to realize high-precision geometric stitching for multi-detector images of large width area-array cameras. This method firstly simulates a completely ideal undistorted area-array image based on the physical structure and imaging geometric characteristics of the multiple area-array detectors of the satellite camera, and the virtual image coverage is the same as that of the original slice detector images; then, the two-dimensional orientation of the pixels of each area-array detector is strictly calibrated; finally, based on the object consistency, the pixel coordinate conversion relationship is established between the virtual image and the original image, and the pixel gray value of the original image is assigned to the virtual image to achieve seamless stitching and distortion correction. The experimental results of simulation data and on-orbit real data show that, for different detector stitching conditions and overlapping areas between detectors, the method proposed in this paper can obtain visually seamless and geometrically lossless stitched images, and the image stitching accuracy and internal geometric distortion are better than 1 pixel.