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In this paper we propose and compare two approaches, based on the level set method in order to extract the coastline from SAR (Synthetic Aperture Radar) images. A coastline is the boundary between land and sea. Detecting the coastline is of fundamental importance when monitoring various natural phenomena such as tides, coastal erosion and the dynamics of glaciers. In this case SAR images show problems which arise from the presence of the speckle noise and of the strong signal deriving from thefatcat:dimblqe4q5antgxa7c4rcidgiq