Optimal Interpolatory Subdivision Schemes in Multidimensional Spaces

Bin Han, Rong-Qing Jia
1998 SIAM Journal on Numerical Analysis  
We analyse the approximation and smoothness properties of fundamental and refinable functions that arise from interpolatory subdivision schemes in multidimensional spaces. In particular, we provide a general way for the construction of bivariate interpolatory refinement masks such that the corresponding fundamental and refinable functions attain the optimal approximation order and smoothness order. In addition, these interpolatory refinement masks are minimally supported and enjoy full
more » ... enjoy full symmetry. Several examples are explicitly computed.
doi:10.1137/s0036142997325611 fatcat:hkmoxb7nhjepzm7xwoet5xoyn4