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An edge in an image is a contour across which the brightness of the image changes abruptly. In image processing, an edge is often interpreted as one class of singularities. In a function,singularities can be characterized easily as discontinuities where the gradient approaches infinity. Image data is discrete, so edges in an image often are defined as the local maxima of the gradient. This is the definition we will use here. Edge detection is an important task in image processing. It is a main tool in pattern recognition, image segmentation, and scene analysis. Anedge detector is basically a high pass filter that can be applied to extract the edge points in an image. This topic has attracted many researchers and many achievements have been made. The effectiveness of many image processing also computer vision tasks depends on the perfection of detecting meaningful edges. It is one of the techniques for detecting intensity discontinuities in a digital image. Many researchers provided different approaches based on mathematical calculations which some of them are either robust or cost effective. A new algorithm will be proposed to detect the edges of image with increased robust.