The work undertaken in this project presents a new computational model capable of predicting the geometry of intermediate shapes required to successfully manufacture a surface using single-point incremental forming (SPIF). The model predicts intermediate shapes by modelling the SPIF forming process in reverse, working backwards from the final desired geometry to predict the forming stages required to deform the material back into its initial flat state. The algorithm achieves this by calculating bending moments from the curvature of the geometry and forces from nodal displacements. A fraction of the calculated loads is applied to an ABAQUS model of the surface and processed using a linear elastic solver. Using this methodology, the forming stages of the material as it is deformed back into a flat sheet can be modelled as a process analogous to elastic spring-back. The developed algorithm has successfully predicted reasonable intermediate shapes for the manufacture of a hemispherical surface. This indicates that the method of working backwards from the final shape using a linear elastic analysis is a viable technique for predicting intermediate geometries.