We have developed a mathematical algorithm to reconstruct the entire ICF shell surface to 10 nm accuracy. Mode 0 and 1 information is inherently missing in the Spheremapper measurements and must be retrieved systematically by minimizing the radius discrepancy at trace intersections. The R(,) map with 1 deg. angular resolution can be constructed by this method to give the target designer a way to model implosions, to give the process engineer feedback and to give the customer a tool for product visualization