Open Access
2011 Subdivision Depth Computation for Tensor Product n -Ary Volumetric Models
Ghulam Mustafa, Muhammad Sadiq Hashmi
Abstr. Appl. Anal. 2011: 1-22 (2011). DOI: 10.1155/2011/203453


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.


Download Citation

Ghulam Mustafa. Muhammad Sadiq Hashmi. "Subdivision Depth Computation for Tensor Product n -Ary Volumetric Models." Abstr. Appl. Anal. 2011 1 - 22, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1214.65007
MathSciNet: MR2793784
Digital Object Identifier: 10.1155/2011/203453

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
Back to Top