Theoretical analysis of trend vanishing moments for directional orthogonal transforms

@article{Muramatsu2010TheoreticalAO,
  title={Theoretical analysis of trend vanishing moments for directional orthogonal transforms},
  author={Shogo Muramatsu and Dandan Han and Tomoya Kobayashi and Hisakazu Kikuchi},
  journal={28th Picture Coding Symposium},
  year={2010},
  pages={130-133}
}
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 to clarify what it is, and then the mathematical meaning is discussed. While the conventional… 

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