TY - JOUR
T1 - Using parameters to increase smoothness of curves and surfaces generated by subdivision
AU - Dyn, Nira
AU - Levin, David
AU - Micchelli, Charles A.
PY - 1990/6
Y1 - 1990/6
N2 - Some recent subdivision schemes for curves and surfaces are viewed as perturbations of classical schemes for B-splines, and their convergence analysis is presented. It is shown that, under certain mild conditions, a small perturbation of a convergent subdivision scheme does not impair the smoothness of the limit function. Moreover, a proper perturbation can even increase the smoothness and thus provide a one-parameter class of schemes with better continuity properties.
AB - Some recent subdivision schemes for curves and surfaces are viewed as perturbations of classical schemes for B-splines, and their convergence analysis is presented. It is shown that, under certain mild conditions, a small perturbation of a convergent subdivision scheme does not impair the smoothness of the limit function. Moreover, a proper perturbation can even increase the smoothness and thus provide a one-parameter class of schemes with better continuity properties.
KW - Subdivision
KW - curves
KW - perturbation
KW - smoothness
KW - surfaces
UR - http://www.scopus.com/inward/record.url?scp=0025438521&partnerID=8YFLogxK
U2 - 10.1016/0167-8396(90)90025-M
DO - 10.1016/0167-8396(90)90025-M
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AN - SCOPUS:0025438521
SN - 0167-8396
VL - 7
SP - 129
EP - 140
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 1-4
ER -