噪音工业计算机断层图像中追踪三维边缘曲面

Abstract

A 3Dedge surface denoised tracking algorithm is proposed to reconstruct high accuracy edge surfaces from the noisy industrial CT slices based on the 3Dfractional-order integral.The 2Dfractional-order integral method has effective denoising ability to preserves the texture detail of the image,and it has low computation complexity and easy implementation due to the filtering mask.In this paper,the 2Dfractional-order integral has been extended to three-dimensional images,its 3Dcontinuous theory and the discrete filtering masks are also proposed,we call it volumetric fractional-order integral.Since the Laplacian operator shows the sensitivity to the noise,the traditional 3Dedge surface tacking method cannot extract the high precision 3Dedge surface from noisy slice images effectively,the 3Dfractional-order integral is added to the tracking method to overcome the existed shortcoming.Our method is able to detect and extract the 3Dedge surface of sub-voxel accuracy from the 2Dnoisy industrial CT slice images.The experiments have reported very encouraging results according to signal noise ratio and visual effect by comparing it to the tacking method based on 3DGaussian denosing method.