The problem is considered of reconstructing spatial distribution of the extinction coefficient of a medium when using the bistatic tomographic optical arrangement of sounding from moving and stationary platforms. An analytical solution is obtained for the extinction coefficient profiles and the transmission. This solution does not require calculation of the logarithmic derivatives of scattering signals recorded with some error. It is shown that the error in estimates of these optical characteristics is almost solely determined by the signal measurement error, because the method is tolerant to the destabilizing factors like, for example, multiple scattering. Implementing this method into practice could allow an essential change in the metrological and operation capabilities of different tomographic devices.