True 2-D all phase filter bank and its application for image compression

Based on all phase theory, this paper designed three kinds of true 2-D all phase filter bank (true 2-D APFB), which can be used to decompose and recompose image data in true 2-D directly. If quantification error of filters is ignored, the true 2-D APFBs have perfect reconstruction property. To reduce computation, they are implemented in lifting scheme. Simulation has shown that true 2-D APFBs have nicer data compression property. With the same compression rate, PSNR of IDCT AFB7.7 is less 0.7 dB at most than Daubechies9/7 wavelet´s, for true 2-D APFBs adopt quadtree SPIHT coding method which is suitable for separable 2-D wavelet transform. For true 2-D filter banks, binary tree SPIHT coding should be adopted to get better performance in compression.