A Gray-scale Image Edge Detection Algorithm Based on Mathematical Morphology

In the process of edge detection based on mathematical morphology, different shapes and different scales structure elements have different roles in filtering noise and keeping edge details. The paper proposes an adaptive edge detection algorithm based on multi-shape and multi-scale structure elements, uses different directions and sizes structure elements to extract image edge, determines weight coefficients by calculating VAR adaptively according to the inverse proportion principle for image difference and weight coefficient, fuses the edges which are detected by multi-shape and multi-scale structure elements. Experimental results show that the proposed algorithm inhibits noise effectively, improves the detection accuracy, possesses encouraging robustness when applied to different images, in comparison with several classical edge detection algorithm.