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This work contributes to investigate theoretical properties of the trend vanishing moment (TVM) which the authors have defined in a previous work and applied to the directional design of 2-D nonsep-arable GenLOTs. The TVM condition can be regarded as a natural extention of 1-D VM to 2-D one and alternative of the conventional directional vanishing moment (DVM). Firstly, the definition of TVM is given...
A scaled transform is defined for a given irreversible linear transformation based on the LU factorization of a nonsingular matrix so that the transformation may be computed in a lifting form and hence may be reversible. Round-off errors in the lifting computation and the computational complexity are analyzed. Some reversible component transforms are presented and experimented to give some remarks...
A novel design method of 2-D non-separable linear-phase paraunitary filter banks (LPPUFBs) is proposed. The trend vanishing moment (TVM) condition is newly derived for the lattice structure. The TVM condition can be regarded as a natural extension of 1-D VM to 2-D one and alternative of the conventional directional vanishing moments(DVMs). The structure is based on the 2-D DCT and can be regarded...
In this report, we propose a bit-depth scalable coding system based on the integer wavelet transform. Encoder of the system outputs two layered bit-streams. Decoding the base layer, upper part of the bit planes of each pixel values of an input image signal are displayed. Adding the enhancement layer, all the bit planes are reconstructed without any loss. Since quantization errors in the transformed...
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