Abstract: A system forms a part in an initial geometry (e.g., a sheet) into a desired geometry. The system includes a robot arm with an end effector, a model and a controller. The model receives an input geometry and an input parameter value indicating an interaction between the part and the end effector. The model determines an output geometry of the part based on the input geometry and the input parameter value. The controller receives the initial and desired geometries; applies the model to the initial geometry and to different input parameter values; based on output geometries of the model, determines a set of parameter values for controlling the robot arm; and controls the robot arm according to the determined set of parameter values to form the part into the desired geometry using the end effector.