Abstarct: According to the fact that the faults and fractures are the location of accumulation of mineral reserves, detection of these fractures is important in the exploration and extraction of mineral deposits. Also, despite of the possibility of hidden drift of faults and consequently the occurrence of events of sudden and catastrophic in urban areas, identification and determination of the exact location of faults can be considered. Aapplying techniques of edge detection in potential field data for geologists can also be useful in determining the boundaries of geological structures, fractures, and instrumental magnetic lines. In this research, we have tried to compare the accuracy, performance and resolution of the output of several methods of edge detection in potential field data, and finally, by using a method with higher resolution and accuracy, on the aeromagnetic data in East Azarbaijan province can be used to detect faults and lineaments buried under sediments. In order to achieve this goal, by applying these methods on the artificial model and then on the aeromagnetic data of area study, the desired result is obtained. In this thesis, in particular the Tabriz fault has been studied. In this research, the detection results of methods of the tilt derivative of the total horizontal gradient (THDR-TDR), the tilt angle of the horizontal gradient which normalized by the analytic signal amplitude (THA), the tilt angle of analytical signal (TAAS), the modulus of gradient tensors (ME) and the improved theta map (ITM) have been investigated. Finally, the result has obtained that the application of the ITM method on the artificial model has high resolution and accuracy and this method has presented an acceptable result.