TY - JOUR
T1 - Corner-Cutting Subdivision Surfaces of General Degrees with Parameters
AU - Tian , Yufeng
AU - Pan , Maodong
JO - Journal of Computational Mathematics
VL - 5
SP - 732
EP - 747
PY - 2020
DA - 2020/04
SN - 38
DO - http://doi.org/10.4208/jcm.1905-m2018-0274
UR - https://global-sci.org/intro/article_detail/jcm/16667.html
KW - Lane-Riesenfeld algorithm, Spline curves, Subdivision curves/surfaces, Corner-cutting subdivision surfaces.
AB - <p style="text-align: justify;">As a corner-cutting subdivision scheme, Lane-Riesefeld algorithm possesses the concise
and unified form for generating uniform B-spline curves: vertex splitting plus repeated
midpoint averaging. In this paper, we modify the second midpoint averaging step of the
Lane-Riesefeld algorithm by introducing a parameter which controls the size of corner
cutting, and generalize the strategy to arbitrary topological surfaces of general degree.
By adjusting the free parameter, the proposed method can generate subdivision surfaces
with flexible shapes. Experimental results demonstrate that our algorithm can produce
subdivision surfaces with comparable or even better quality than the other state-of-the-art
approaches by carefully choosing the free parameters.</p>