An image correcting apparatus includes an input unit and a processor. The input unit receives instruction inputs from a user. The processor performs processes including: displaying an image to be processed, and a mesh image superimposed on said corresponding image, on a display device; deforming a shape of the mesh image based on the instruction inputs; generating a conversion matrix representing coordinates after curvature correction of pixels constituting the image to be processed, based on the deformed shape of the mesh image; updating a recording matrix representing conversion histories of pixels constituting an original image, based on the coordinates represented by the generated conversion matrix; and performing curvature correction on the original image based on the updated recording matrix.