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In this paper, we consider the problem of lossless compression of laser speckle images produced in displacement measurement. We propose a lossless compression technique of laser speckle images which is based on speckle displacement estimation, temporal prediction and the Golomb entropy coding. In the proposed coder, the fuzzy-logic-based correlation is used for estimation of speckle displacements. Experimental results show that the proposed coder provides significant improvement in coding efficiency compared with the JPEG_LS coder in compression of laser speckle images.