  The problem of solution transfer between meshes arises frequently in
computational physics, e.g. in Lagrangian methods where remeshing occurs. The
interpolation process must be conservative, i.e. it must conserve physical
properties, such as mass. We extend previous works --- which described the
solution transfer process for straight sided unstructured meshes --- by
considering high-order isoparametric meshes with curved elements. To facilitate
solution transfer, we numerically integrate the product of shape functions via
Green's theorem along the boundary of the intersection of two curved elements.
We perform a numerical experiment and confirm the expected accuracy by
transferring test fields across two families of meshes.
