According to the characteristic of Gauss which smoothes the image without reference to SNR

a new algorithm with adaptive σ(space coefficient) is put forward to in this paper for purpose of both precise image detection and effective noise restraining. Firstly

inertia of moment of gray level co-occurrence matrix is used to design the σ which is suitable to the current image. Secondly

high-pass filters and low-pass filters are designed according to the σ and the next σ is determined out in accordance with the image which is filtered by low-pass filters. The process is repeated till noise is removed basically. At last

images of all levels extracted with different σ are fused to obtain the final image edge with only one pixel wide in accordance by certain rules. Simulation results indicate that when comparing with traditional algorithms and B-spline wavelet

SNR is improved 0.47%～6.07%

and computing time is increased 0.29%～6.36%.The new algorithm proposed in this paper is more efficient in precise image detection and effective noise restraining especially for low-resolution image(256×256).