Novel multiwavelet-based integer transform for lossless image coding

Integer Haar wavelet transform or S-transform is used as the basic building block for many exiting integer wavelet transform. As an alternative, a new integer multiwavelet transform and its associated integer prefilter are designed based on box-and-slope multi-scaling system. Both the transform and prefilter can be implemented with simple integer Haar transform requiring only addition and bit shift operations. Since the new integer transform is an approximation to nontrucated transform with higher vanishing moment than that of Haar transform, better approximation accuracy is expected and verified experimentally. The transform is successfully applied to lossless image coding with results outperforming that of lossless JPEG and S-transform.