At present, block-transform coding is probably the most popular approach fo
r image compression. However, for the sake of its implementation, an image
is partitioned into spatially adjoining blocks which are processed independ
ently without considering inter-block correlation. So, this approach inesca
pably causes an annoying defect called a blocking artifact. In this letter,
in order to reduce a blocking artifact appearing in block-coded images, a
new quantization constraint set based on the theory of projection onto conv
ex set (POCS) is proposed. This set can efficiently complement the drawback
s of the projection onto the other constraint sets, particularly the smooth
ness constraint set, Experimental results, using the proposed quantization
constraint set as a substitute for the conventional quantization constraint
set, show that the postprocessed images not only converge at a fast rate b
ut also obtain better performance in both objective and subjective quality,
Moreover, we know that the postprocessed images maintain the clearness of
the decoded image before postprocessing.