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Volume 2, Issue 3
Estimating Error Bounds for Non-stationary Binary Subdivision Curves / Surfaces

J. Info. Comput. Sci. , 2 (2007), pp. 179-190.

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  • Abstract
Error bounds between non-stationary binary subdivision curves/surfaces and their control polygons after k-fold subdivision are estimated. The bounds can be evaluated without recursive subdivision. A computational formula of subdivision depth for non-stationary binary subdivision surfaces is also presented. From this formula one can predict the subdivision depth within a user specified error tolerance. Our results not only remove errors in the results of [3] but also contain the generalization of their results.
  • Keywords

Subdivision curve, subdivision surface, subdivision depth, error bound.

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COPYRIGHT: © Global Science Press

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@Article{JICS-2-179, author = {}, title = {Estimating Error Bounds for Non-stationary Binary Subdivision Curves / Surfaces}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {2}, number = {3}, pages = {179--190}, abstract = {Error bounds between non-stationary binary subdivision curves/surfaces and their control polygons after k-fold subdivision are estimated. The bounds can be evaluated without recursive subdivision. A computational formula of subdivision depth for non-stationary binary subdivision surfaces is also presented. From this formula one can predict the subdivision depth within a user specified error tolerance. Our results not only remove errors in the results of [3] but also contain the generalization of their results. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22796.html} }
TY - JOUR T1 - Estimating Error Bounds for Non-stationary Binary Subdivision Curves / Surfaces AU - JO - Journal of Information and Computing Science VL - 3 SP - 179 EP - 190 PY - 2024 DA - 2024/01 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22796.html KW - Subdivision curve, subdivision surface, subdivision depth, error bound. AB - Error bounds between non-stationary binary subdivision curves/surfaces and their control polygons after k-fold subdivision are estimated. The bounds can be evaluated without recursive subdivision. A computational formula of subdivision depth for non-stationary binary subdivision surfaces is also presented. From this formula one can predict the subdivision depth within a user specified error tolerance. Our results not only remove errors in the results of [3] but also contain the generalization of their results.
. (2024). Estimating Error Bounds for Non-stationary Binary Subdivision Curves / Surfaces. Journal of Information and Computing Science. 2 (3). 179-190. doi:
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