Electron cryomicroscopy is a useful tool for studying the three-dimensional structure of icosahedral viruses. This review is intended to provide beginners with an understanding of icosahedral virus structure determination focusing on the data processing aspects. We begin with an overview of the entire structure determination process and a brief summary of the sample preparation and imaging aspects. Next, we provide detailed descriptions of each data processing step leading to three-dimensional reconstruction, including application of image corrections, resolution assessment, and structure visualization. To aid in understanding this reconstruction process we provide a variety of illustrative examples. Last, we summarize future prospects for icosahedral virus structural studies.