A shape data generation apparatus includes a detection unit and a generation unit. With reference to model information indicating the thicknesses and the positions of both ends of a plurality of elements each having a cylindrical surface, the detection unit detects a connection point where two or more elements are connected to each other, on the basis of the positions of both ends of the elements. The generation unit generates a curved surface collectively covering the connecting ends of the two or more elements, on the basis of the thicknesses and the positions of both ends of the two or more elements connected at the connection point.