In this paper, we investigate both the 2m-point a-ary for any a ≥ 2 and (2m + 1)-point a-ary for any odd a ≥ 3 interpolatory subdivision schemes for curve design. These schemes include the extended family of the classical 4- and 6-point interpolatory a-ary schemes and the family of the 3- and 5-point a-ary interpolatory schemes, both having been established in our previous papers (Lian ) and (Lian ).
On a-ary Subdivision for Curve Design III. 2m-Point and (2m + 1)-Point Interpolatory Schemes,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 4,
2, Article 14.
Available at: https://digitalcommons.pvamu.edu/aam/vol4/iss2/14