High accuracy and high speed are both required highly in actual industrial Computed Tomography (CT) three dimensional (3D) applications. Using facet model

we can obtain the precise image edge to meet the needs of high accuracy. But it will consume too much time when be used to detect 3D image edge

so it is difficult to be applied in 3-D edge detection of actual Industrial CT image. Against this problem

we present a method of 3D edge detection based on wavelet translate and facet model. When wavelet translate was be used to detect edge

the speed is high

but the result has relationship with the threshold. If threshold is small

the edge is a little thick that it is hard to locate exactly. If threshold is big

the edge is not continuous that we can’t get the complete contour. However

we just make use of this characteristic to increase the speed of facet model. Firstly

3D wavelet transform is been used to 3D data of Industrial CT

the initial candidates of edge could be obtained by setting smaller threshold. Through this step the edge was been located roughly. Secondly

3D facet model is been used to decide if the candidate is the true edge. Then the 3D image edge of high accuracy is located. The improved algorithm can accelerate the original facet model greatly by the preprocessing of 3D wavelet transform which can reduce the number of edge pixel candidates. Finally

experiments on actual Industrial CT 3D image data and simulated image data validate the efficiency and accuracy of the improved algorithm. The original and improved algorithm were both been realized by programming. Then two groups of experiment result was been obtained. The accuracy of the two algorithm was been compared by computing the area of the same object in the two groups of result. Comparison of the program runtime indicate the speed of improved algorithm is been increased. So the experiment results show that the improved method not only has the equivalent accuracy with direct facet model

but also increases the speed from 3.51 to 7.39 times. The image edge is simpler; the speed of algorithm is faster. In this way

3D facet model which is high accurate can be used into actual Industrial CT 3D image processing. It is of actual significance to Industrial CT high accuracy and speed detection.