An apparatus for moving image coding includes: a memory configured to store a reference panoramic image used for coding a coding-target panoramic image obtained by extending a panoramic image included in panoramic video photographed by an imaging device; and a processor coupled to the memory and configured to execute a decision process that includes deciding a vector that represents an amount of shift of the coding-target panoramic image relative to the reference panoramic image, execute a correction process that includes generating a corrected coding-target panoramic image by correcting a position of each of a plurality of coding-target regions in the coding-target panoramic image in accordance with the vector that represents the amount of shift, and execute a coding process that includes coding an image of each of the plurality of coding-target regions in the corrected coding-target panoramic image by using the reference panoramic image.