An adaptive extension of combined 2D and 1D-directional filter banks

In this paper, we propose an extension of combined 2D and 1D-directional filter banks (TODFBs) with adaptive approach in their 1D-directional stages. TODFBs show better performance in image coding and denoising compared to the traditional wavelet transform (WT), however, they still have possibilities to improve their performance in image coding by adopting the adaptive directional WTs for their 1D-directional stages. An efficient method to determine the transform directions is also proposed. In image coding results, our proposed filter banks gain PSNR and visual quality improvements compared with the WTs and the non-adaptive TODFBs.