Application of cusp catastrophic theory in image segmentation of infrared thermal waving inspection

Image segmentation is the key technique to achieve the quantitative identification in the thermal waving inspection. An image segmentation method was advanced based on the cusp catastrophic theory according to the characteristics of discontinuous change between the region with defect and without defect in thermal images. The amplitude and phase of the image were computed at first, then the model of the cusp catastrophic was established and the corresponding transform of coordinate was studied, the variable of the system was dealt with unitarity. The salutatory dots were signed based on the judicative formula of the cusp catastrophic model after the unitariness, the framework of the salutatory dots was picked up to realize the segmentation of the thermal waving images through the operation of the expansion and fill. At last the experiments were carried out to prove the feasibility of this method.