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Subdivision Depth Computation for Tensor Product ð ‘› -Ary Volumetric Models

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  • Ghulam Mustafa
  • Muhammad Sadiq Hashmi

Abstract

We offer computational formula of subdivision depth for tensor product 𠑛 -ary ( 𠑛 ⩾ 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.

Suggested Citation

  • Ghulam Mustafa & Muhammad Sadiq Hashmi, 2011. "Subdivision Depth Computation for Tensor Product ð ‘› -Ary Volumetric Models," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-22, April.
    • Handle: RePEc:hin:jnlaaa:203453
    DOI: 10.1155/2011/203453
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