This paper presents a listless variant of a modified three-dimensional (3d)-block coding algorithm suitable for medical image compression. A higher degree of correlation is achieved by using a 3d hybrid transform. The...
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This paper presents a listless variant of a modified three-dimensional (3d)-block coding algorithm suitable for medical image compression. A higher degree of correlation is achieved by using a 3d hybrid transform. The 3d hybrid transform is performed by a wavelet transform in the spatial dimension and a Karhunen-Loueve transform in the spectral dimension. The 3d transformed coefficients are arranged in a one-dimensional (1d) fashion, as in the hierarchical nature of the wavelet-coefficient distribution strategy. A novel listlessblock coding algorithm is applied to the mapped 1d coefficients which encode in an ordered-bit-plane fashion. The algorithm originates from the most significant bit plane and terminates at the least significant bit plane to generate an embedded bit stream, as in 3d-SPIHT. The proposed algorithm is called3dhierarchicallistlessblock (3d-HLCK), which exhibits better compression performance than that exhibited by 3d-SPIHT. Further, it is highly competitive with some of the state-of-the-art 3d wavelet coders for a wide range of bit rates for magnetic resonance, digital imaging and communication in medicine and angiogram images. 3d-HLCK provides rate and resolution scalability similar to those provided by 3d-SPIHT and3d-SPECK. In addition, a significant memory reduction is achieved owing to the listless nature of 3d-HLCK.
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