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The application of the high-resolution methods of array processing to source localisation has led to a considerable improvement in results. By considering some conventions, these methods can be applied to the characterisation of straight lines in an image. It is proposed to associate a high-resolution method with a method that generates a signal out of an image. This approach permits, in particular, to estimate the parameter 'offset', that is, the intersection with the upper side of the image of the straight lines. The proposed approach is fast and efficient when compared with the well-known method 'extension of the Hough transform'.