The application of V-system in the digital image transform

Based on a class of complete orthogonal function system on L2[0,1] called as the V-system, a new kind of orthogonal discrete transform called DVT is proposed, and the application of DVT in image transform is studied. The comparisons of the DVT with slant transform, slantlet transform and discrete cosine transform (DCT) in image transform are given. Slant transform is an effective mathematical method in signal processing, and has a good effect on the images which represent variations with gradual brightness; slantlet transform further improves slant transform. Slant transform, slantlet transform and linear DVT are corresponded to discrete form of a class of linear functions respectively. They are equivalent to each other. The comparison results indicate that the linear DVT has obvious advantages in the image data compression.