Three-Dimensional Reconstruction of Icosahedral Virus by Symmetry-Adapted Functions

A three-dimensional (3D) reconstruction of icosahedral virus is carried out by the icosahedral symmetry-adapted function (ISAF) method in spherical coordinates. In order to reduce the influence of noise, it is better to use the basis functions that have identical symmetry with the object reconstructed. It is verified that the ISAF method has stronger ability to reduce the influence of noise to grain the resolution better than that of the conventional method by the simulation of 3D reconstruction.