Edge detection of CV model is continuous and closed,but the accuracy is not high.While the result of Facet model has high accuracy,but is not continuous.A new method of comprehensive CV model and Facet model is researched in this paper.This method includes several parts as follow.Firstly,the crack edge is detected by CV model in the whole image.Secondly,the new crack edge is detected by Facet model only in the neighborhood of CV detection result.Thirdly,the final crack edge is attained by combining detection results of CV and Facet together.This method is applied to crack edge detection of industrial CT images.The experimental results show the effectiveness of it.