Based on SVD(Singular value decomposition) and the energy minimum principle

an adaptive image denoising algorithm is proposed in this paper.An energy model of image denoising in matrix norm is presented for restoring noisy image.By minimizing energe on the matrix norm

the singular number of the reconstructed image is adaptively determined.Comparing with the adaptive denoising algorithm based on compression ratio and SVD

it avoids calculating the function of image compression ratio and its knee point.Furthermore

it avoids solving nonlinear partial differential equation numerically comparing with the energy minimization denoising model of bounded variation

and so it never leads to local minimum in general.Our method can denoise rapidly and effectively.It can be also implemented easily in practice.Experimental results in the paper validate our proposed method.