In practice of research tomographic images frequently there is a problem of reception of the image of cuts of a body in those planes for which there is no image under known images in some set of sections. Authors had been developed a method of restoration of internal structure of a three-dimensional body under known tomograms on system of mutually perpendicular planes with the help interflation functions. Tomograms are represented as photos in a format .bmp. In article the theorem of an estimation of an error of this method is proved. And also some opportunities of work with tomograms are represented at the decision of a spatial problem of a computer tomography in system Matlab.