ABSTRACT
We developed a general way to create integer wavelet transformations that can be used in lossless (reversible) compression of images with arbitrary size. The method, based on some updating techniques such as lifting and correction, allows us to generate a series of reversible integer transformations which have the similar features with the corresponding biorthogonal wavelet transforms and some non-orthogonal wavelet transforms; but need only be calculated with integer addition and bit-shift operations. In addition, the integer wavelet transforms created in this paper possess a property of precision preservation (PPP). This property is very useful, in lossless compression, for conserving memory in both compression and decompression, and speeding up the computational process.
