Subdivision Depth Computation for Tensor Product n -Ary Volumetric Models

Abstract

We offer computational formula of subdivision depth for tensor product $n$-ary $(n⩾2)$ volumetric models based on error bound evaluation technique. This formula provides and error control tool in subdivision schemes over regular hexahedron lattice in higher-dimensional spaces. Moreover, the error bounds of Mustafa et al. (2006) are special cases of our bounds.