Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Copyright © 2011 Ghulam Mustafa and Muhammad Sadiq Hashmi. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We offer computational formula of subdivision depth for tensor
product -ary () 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.