  Recently, topography change by illumination of pre-stretched, flat sheets
covered in ink of optical density varying in-plane has been demonstrated by
Mailen\textit{ et al}, Smart Materials and Structures, 2019. They reduce an
analysis of the problem to one of metric change in the sheets in the thin
limit, that is, to a question of geometry. We present the explicit form of the
contraction field needed to produce the bowls these authors were interested in,
using a method that can also yield the contraction field for more general
desired, circularly-symmetric topography development. We give as examples the
fields required for developing paraboloids and catenoids.
