Segmentation of icosahedral virus density map from cryo-electron microscope (CryoEM) is a challenging task because
virus structure is complex and density map is at low resolution. Fast marching method is widely used in segmentation, in
which seed selection is essential for correct segmentation results. However, the selection of an appropriate seed is
difficult. In this paper, we present the method of selecting the seed in fast marching algorithm by making use of the
shape symmetry to improve the fast marching method for icosahedral virus segmentation. Based on the feature of
icosahedron, we compute and get its symmetry axes inside the density map. With these symmetry axes, we specify the
initial seeds with the local maxima value along symmetry axes. Further, the new data structures are presented, which can
effectively reduce the memory cost when implement the fast marching algorithm. Experimental results show that the
approach can obtain segmentation results of the density maps fast and accurately.
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