An efficient phase retrieval method using snakes for image reconstruction

This paper proposes a novel phase retrieval method using active contour models (snakes) for image reconstruction. The proposed method reconstructs a target image from the magnitude of its Fourier transform and the measured area of the image. In general, the measured area is different from the true area where the target image exists. Thus the snake with an area term, which can extract the shape of the concave target image, is utilized to renew the measured area. By processing this renewal iteratively, the area obtained by the snake converges to the true area and as a result the proposed method can accurately reconstruct a target image even when the measured area is different from the true area. Experimental results show the effectiveness of the proposed method. This method has many applications such as biomedical imaging using X-ray or optical detectors which have lost the phase information.