Abstract: Combining the advantages of both the wavelet transform and mathematical morphology, an edge detection algorithm was proposed. For edge detection based on mathematical morphology, an anti-noise edge detection operator is constructed by improving the existing operators. Different direction linear structure elements are employed. Edge detection based on wavelet transform can reserve the image edge details effectively and ensure the continuity and integrity of the detected edge. Experimental results show that the proposed algorithm can suppress the noise interference more effectively and improve the detection accuracy and the robustness of different images in comparison with several classical edge detection algorithms.