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Two general methods are proposed for the arbitrary L/M-fold resizing of compressed images using lapped transforms. These methods provide general resizing frameworks in the transform domain. In order to analyse the image size conversion technique using lapped transforms, the impulse responses and frequency responses for the overall system are derived and analysed. This theoretical analysis shows that the image resizing in the lapped transform domain provides much better characteristics than the conventional image resizing in the discrete cosine transform (DCT) domain. Specifically, by using lapped transforms, the proposed method reduces the blocking effect to a very low level for images which are compressed at low bit rates, since two neighbouring DCT blocks are used in the conversion process, instead of processing each block independently.