title: On the three-dimensional reconstruction of icosahedral particles.
abstract: The problem of reconstructing an isolated particle from its projections, using spherical harmonics to represent the scattering density, is reformulated. A technique that makes explicit and efficient use of the symmetry to describe the angular part of the scattering density is developed in full detail for the particular case of icosahedral symmetry. It provides a very concise method, where the effort is concentrated in the determination of the radial part of the Fourier transform of the particle scattering density. The method allows individual-image model-independent view determination. An illustrative numerical example is given.
authors.affiliation: Laboratoire de Virologie Molèculaire Structurale, 1 Avenue de la Terrasse, Bât. 14B, CNRS-GIF, 91198 Gif-sur-Yvette, France. jnavaza@gv.cnrs-gif.fr
authors.forename: Jorge
authors.initials: J
authors.lastname: Navaza
mesh_terms: D000465:Algorithms; D036022:Capsid Proteins / Q000737:chemistry*; D020285:Cryoelectron Microscopy / Q000379:methods*; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted; D015233:Models, Statistical; D017434:Protein Structure, Tertiary; D012542:Scattering, Radiation; D014764:Viral Proteins / Q000737:chemistry
chemical_list: D036022:Capsid Proteins; D014764:Viral Proteins