This paper examines uniqueness and stability results for an inverse pr
oblem in thermal imaging. The goal is to identify an unknown boundary
of an object by applying a heat flux and measuring the induced tempera
ture on the boundary of the sample. The problem is studied in both the
case in which one has data at every point on the boundary of the regi
on and the case in which only finitely many measurements are available
. An inversion procedure is developed and used to study the stability
of the inverse problem for various experimental configurations.