Design of Lossless Block Transforms and Filter Banks for Image Coding
Kunitoshi Komatsu, Kaoru Sezaki · 1999
this paper, we present simple yet effective methods for designing lossless versions of block transforms and FIR filter banks. First, an N-point lossless transform and a lossless interpolative prediction are introduced. Next, we demonstrate that filter banks can be decomposed into 2-point transforms or interpolative predictions. Lastly, lossless versions of block transforms and filter banks are obtained by replacing every constituent module by the corresponding lossless version. Lossless versions of 8-point discrete cosine transform (DCT), 8point Walsh-Hadamard transform (WHT) and several filter banks are designed and their lossless compression performance is evaluated.