A binary-segmentation algorithm based on shearlet transform and eigenvectors

In this paper, we illustrate an iterative algorithm for extraction of object with tubular structure specially vessel extraction. For this aim, we segment image to reach binary image in which the pixels of purpose object is found. In our segmentation method, we use Gaussian scale-space technique to compute discrete gradient of image for pre-segmenting. Also, in order to denoise, we use tight frame of shearlet transform. This algorithm has an iterative part based on iterative part of TFA [2], but we use eigenvectors of Hessian matrix of image for improving this part. Theoretical properties of this method are presented. The experimental results show that in our algorithm distinguishing homogeneous vessels is done efficiently.