To eliminate the spatially variant blurs caused by a field curvature from a camera and to improve the resolutions and the measuring precisions of images, a 1D image restoration method was proposed to overcome the influence of field curvature on an image from the camera used in industrial inspections. On analysis of the spatially variant blur matrix, the Point Spread Functions(PSFs) of a partial region were estimated and then the blur matrix of whole image field was computed by shifting and interpolation. On the basis of the blur matrix, the restored matrix which was unrelated to the observed signal was obtained by the constrained least square algorithm. In inspection, the restored image could be obtained by multiplying the acquired signals with restored matrix. This method has been applied in foreign fiber detecting systems and verified by real images containing fine fibers. Obtained results show that this method can improve the image resolution and enhance the difference between background and irregular points by 10%. Therefore, it improves the detecting accuracies for images.