In the last few years, computer vision and image processing techniques have been developed to solve many problems. One of them, graph cut method is powerful optimization technique for minimizing energy function. And as you know, many edge detectors are already advanced. Edge detector is widely used in computer vision to find object boundaries in images. But traditional edge detectors detect all edges that we don’t want. Because we want to detect object contour, we propose that graph cut method and edge detector have to combine each other. In this paper, we describe method minimizing energy function via graph cuts and traditional edge detectors and show our result images.