Wavelet transform is a powerful method in image denoising

and it is of great significance to select an appropriate kind of wavelet transform. V-system of degree k is a class of complete orthogonal function system on L2［0

1］

which is composed of sub-function of degree k

with the characteristics of the multi-resolution of multi-wavelet. Particularly

its basic function contains both continuous and discontinuous functions

which makes it different from classic orthogonal function system. In this article

a new kind of orthogonal discrete transform called DVT is proposed

and the application of DVT in image denoising is studied. The comparisons of the DVT with wavelet transform in image denoising are given. Using PSNR as evaluation criteria and using MATLAB processing to carry out a lot of experiments

the comparison results indicate that the linear DVT has obvious advantages in the denoising of Gaussian noise

salt & pepper noise and speckle noise.