Hj. Kim et Cc. Li, LOSSLESS AND LOSSY IMAGE COMPRESSION USING BIORTHOGONAL WAVELET TRANSFORMS WITH MULTIPLIERLESS OPERATIONS, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 45(8), 1998, pp. 1113-1118
We present lossless and lossy image compression algorithms, based on b
iorthogonal wavelets, which provide high computational speed and excel
lent compression performance. A specific pair of spline biorthogonal w
avelets are chosen, having dyadic rational filter coefficients; convol
utions with these filters can be performed by using only arithmetic bi
t-shifting and integer addition operations. For lossless compression,
we have investigated a new reversible embedded wavelet transform. For
lossy compression, we have constructed two-dimensional reconstruction
filter masks for carrying out bit-shifting to minimize data access ope
rations when performing the inverse wavelet transform.