Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models

Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models

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...

Full description

Bibliographic Details
Main Authors: Ghulam Mustafa, Muhammad Sadiq Hashmi
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/203453
id doaj-5b915e2816c14fb2bc716ae540c5617a
record_format Article
spelling doaj-5b915e2816c14fb2bc716ae540c5617a2020-11-24T20:40:38ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/203453203453Subdivision Depth Computation for Tensor Product n-Ary Volumetric ModelsGhulam Mustafa0Muhammad Sadiq Hashmi1Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanWe 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.http://dx.doi.org/10.1155/2011/203453
collection DOAJ
language English
format Article
sources DOAJ
author Ghulam Mustafa
Muhammad Sadiq Hashmi
spellingShingle Ghulam Mustafa
Muhammad Sadiq Hashmi
Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models
Abstract and Applied Analysis
author_facet Ghulam Mustafa
Muhammad Sadiq Hashmi
author_sort Ghulam Mustafa
title Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models
title_short Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models
title_full Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models
title_fullStr Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models
title_full_unstemmed Subdivision Depth Computation for Tensor Product n-Ary Volumetric Models
title_sort subdivision depth computation for tensor product n-ary volumetric models
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description 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.
url http://dx.doi.org/10.1155/2011/203453
work_keys_str_mv AT ghulammustafa subdivisiondepthcomputationfortensorproductnaryvolumetricmodels
AT muhammadsadiqhashmi subdivisiondepthcomputationfortensorproductnaryvolumetricmodels
_version_ 1716826163867811840

Similar Items