The macroscopic shapes, rotational states, and scattering parameters of atm
osphereless bodies can be deduced from photometric measurements of total br
ightnesses in different viewing/illumination geometries. The problem is sol
ved with nonlinear optimization techniques; the use of positive definite qu
antities effectively removes the apparent ill-posedness of the problem. Sin
ce the parameters of scattering laws such as the Hapke model cannot be unam
biguously determined from photometric data only, we propose a simple empiri
cal scattering model for he purpose. Our methods can obtain convex hull-lik
e shapes even for strongly nonconvex objects; a conception of he major conc
avities can also be formed. (C) 2001 Optical Society of America.