Due to the limited number of views in high-energy X-ray radiography, the density reconstruction for asymmetric objects from a single radiograph is studied. The approach proposed can make explicit use of model-based information concerning the symmetric and asymmetric information from the radiograph to compose the other rotational views in a more exact fashion. The three dimension program for the density reconstruction is developed based on total variation and algebraic reconstruction techniques. Numerical simulations show the impact on the accuracy of density reconstruction by varying the number of the radiographic views.