  The research about asteroids attracts more and more attention recently,
especially focusing on their physical structures, such as the spin axis, the
rotation period and the shape. The long distance between Earth observers and
asteroids makes it impossible to get the shape and other parameters of
asteroids directly with the exception of the NEAs (Near Earth Asteroids) and
others passed by some spacecrafts. Generally photometric measurement is still
the main way to obtain the research data for asteroids now, i.e. the
lightcurves recording the brightness and positions of asteroids. Supposing that
the shape of the asteroid is a triaxial ellipsoid with a stable spinning
status, a new method is present in this article to reconstruct the shape models
of asteroids from the lightcurves, with the other physical parameters together.
By applying a special curvature function, the method calculates the brightness
integration on a unit sphere and Lebedev Quadrature is employed for the
discretization. At last the method searches the optimal solution by
Levenberg-Marquardt algorithm to minimize the residual of the brightness. By
adopting this method not only related physical parameters of asteroids can be
obtained at a reasonable accuracy, but also a simple shape model of Ellipsoid
can be generated for reconstructing more sophisticated shape model further.
