The classical binary 4-point and 6-point interpolatery subdivision schemes are generalized to a-ary setting for any integer a greater than or equal to 3. These new a-ary subdivision schemes for curve design are derived easily from their corresponding two-scale scaling functions, a notion from the context of wavelets.
On a-ary Subdivision for Curve Design: I. 4-Point and 6-Point Interpolatory Schemes,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 3,
1, Article 2.
Available at: https://digitalcommons.pvamu.edu/aam/vol3/iss1/2