Two dimensional multiwavelets with vanishing moments for image coding

A method for wavelet image coding and compression using a two-dimensional (2D) multiwavelet transform, vector quantization and zerotree coding techniques, is presented. A non-separable multiwavelet transform is used. The application of this approach results in 2D wavelet functions and filter-banks that are more suitable for coding of two-dimensional signals, such as images, than the traditional separable transform. We present nonlinear constraints on the polyphase matrix components which must be satisfied while imposing the requirement of vanishing moments. Finally, the design of 2D multiwavelets with a preferred orientation is illustrated