@article {IOPORT.05656957, author = {Lian, Jian-ao}, title = {On $a$-ary subdivision for curve design. III: $2m$-point and $(2m + 1)$-point interpolatory schemes.}, year = {2009}, journal = {Applications and Applied Mathematics [electronic only]}, volume = {4}, number = {2}, issn = {1932-9466}, pages = {434-444, electronic only}, publisher = {Prairie View A \& M University, Prairie View, TX}, abstract = {Summary: We investigate both the $2m$-point a-ary for any $a\ge 2$ and $(2m + 1)$-point a-ary for any odd $a\ge 3$ 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 [ibid. 3, No. 1, 18--29 (2008; Zbl 1175.65027); ibid. 3, No. 2, 176--187 (2008; Zbl 1175.65028)].}, identifier = {05656957}, }