  We propose a new cluster deprojection algorithm for recovering cluster
structure along the line of sight (los) based on the Richardson-Lucy (RL)
algorithm, which recovers a nonnegative theoretical distribution from a given
projection. To optimize our reconstruction we combine X-ray and
Sunyaev-Zeldovich (SZ) data with gravitational lensing maps. The combination of
these three data types constrains the structure of rich clusters of galaxies.
To validate our new approach, we apply the algorithm to gas-dynamical cluster
simulations. A reconstruction using the lensing potential is shown.
