The development of image reconstruction methods in computed tomography is an urgent task at present. A great contribution to the quality of the image is made by reconstruction algorithms. In this paper, the Feldkamp algorithm for a tapered beam was implemented using Hann, Hamming, and Ramachandran-Lakshminarayanan filters. Also, an algorithm for generating initial data arrays and modeling projection data with given parameters is implemented. This algorithm allows you to generate objects of various densities and volumes in different positions in space. The implemented algorithm can be used in the development of a computer tomographic equipment on a cone-beam for research and adjustment of parameters.