There is disclosed image predictive coding apparatus and method, image
predictive decoding apparatus and method, and recording medium which
stores therein the image predictive coding method or the image predictive
decoding method, of which the transform efficiency is remarkably improved
in comparison with the prior art. According to the image predictive
coding apparatus and method, when dividing inputted image data to be
coded into image data of a plurality of small regions which are adjacent
to each other and coding the image data of an objective small region to
be processed among the image data of the plurality of divided small
regions which are adjacent to each other, reconstructed image data of a
reproduction small region adjacent to the image data of the objective
small region to be processed is used as image data of an intra-frame
prediction small region of the objective small region to be processed,
the image data of the intra-frame prediction small region is used as
image data of an optimum prediction small region and image data of a
difference small region which are differences between the image data of
the objective small region to be processed and the image data of the
optimum prediction small region is generated. Then, the generated image
data of the difference small region is coded and outputted, and then the
coded image data of the difference small region is decoded, so that the
reconstructed image data of the reproduction small region is generated by
adding the decoded image data of the difference small region to the image
data of the optimum prediction small region.