<title>Lossless and nearly lossless compression for high-quality images</title>

Lossless compression of continuous-tone images

“…In Section VI we also comment on two other proposals, CREW [67,13] and ALCM [45,46], as these algorithms ended up impacting other standardization efforts.…”

<title>Evaluation of color-embedded wavelet image compression techniques</title>

“…Thus, these components are commonly subsampled to remove redundancy as in the JPEG and MPEG standards. A problem with the transform described above is that it is not reversible † [3,4]. A reversible transformation is desired for lossless compression.…”

“…This permits the decoder to truncate the bit stream once a desired data rate or distortion has been achieved. Transform coding is commonly utilized in embedded coding, with the wavelet transform [1,2,3,4,5,6,7] being the often used transform, although other alternative transforms such as the Laplacian pyramid [8] and the discrete cosine transform [9] have been used. The greatest distortion reduction is achieved if the transform coefficients with the largest magnitudes are coded initially and with high precision.…”

Block TERM factorization of block matrices

“…Reversible integer transform (or integer mapping) is such a type of transform that maps integers to integers and realizes perfect reconstruction (PR). People started to work in this area long ago, and their early work, such as S transform [1] , TS transform [2] , S+P transform [3] , and color space transforms [4] , suggested a promising future of reversible integer mapping in image compression, region-of-interest (ROI) coding, progressive transmission, and unified lossy/lossless compression systems. However, to construct such integer transforms, they used to resort to some special skills.…”