IMAGE ENCODING APPARATUS AND METHOD, IMAGE DECODING APPARATUS AND METHOD, AND PRGRAM

An image encoding apparatus includes a band division unit configured to perform frequency band division for generating coefficient data of each of a plurality of frequency bands from image data of a block unit and, with regard to the frequency band division, to perform frequency band division of the coefficient data of the low-band component after rearranging a spatial position with respect to coefficient data of a low-band component obtained by frequency band division, and an encoding unit configured to perform encoding of the coefficient data of each of the plurality of frequency bands.