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.