This paper shows the Chaikin's, linear and loop subdivision algorithm. The Chaikin's algorithm is briefly discussed in the beginning using the vector template as well as the cubic scheme to subdivide a curve and making it smoother in the process. Linear Subdivision is used to add more triangles to the mesh, raising the resolution, without changing the form of the given mesh. The last algorithm that is discussed in this paper is the loop subdivision algorithm. Using the loop subdivision algorithm not only the resolution of the given mesh becomes higher, it also smooths out edges and corners leading to realistic and smooth surfaces.