  A new family of combined subdivision schemes with one tension parameter is
proposed by the interpolatory and approximating subdivision schemes. The
displacement vectors between the points of interpolatory and approximating
subdivision schemes provide the flexibility in designing the limit curves and
surfaces. Therefore, the limit curves generated by the proposed subdivision
schemes variate in between or around the approximating and interpolatory
curves. We also design few analytical algorithms to study the properties of the
proposed schemes theoretically. The efficiency of these algorithms are analyzed
by calculating their time complexity. The graphical representations and
graphical properties of the proposed schemes are also analyzed.
