TY - JOUR
T1 - Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
AU - Levin, David
PY - 1999
Y1 - 1999
N2 - Non-uniform binary linear subdivision schemes, with finite masks, over uniform grids, are studied. A Laurent polynomial representation is suggested and the basic operations required for smoothness analysis are presented. As an example it is shown that the interpolatory 4-point scheme is C1 with an almost arbitrary non-uniform choice of the free parameter.
AB - Non-uniform binary linear subdivision schemes, with finite masks, over uniform grids, are studied. A Laurent polynomial representation is suggested and the basic operations required for smoothness analysis are presented. As an example it is shown that the interpolatory 4-point scheme is C1 with an almost arbitrary non-uniform choice of the free parameter.
UR - http://www.scopus.com/inward/record.url?scp=0033433185&partnerID=8YFLogxK
U2 - 10.1023/A:1018907522165
DO - 10.1023/A:1018907522165
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AN - SCOPUS:0033433185
SN - 1019-7168
VL - 11
SP - 41
EP - 54
JO - Advances in Computational Mathematics
JF - Advances in Computational Mathematics
IS - 1
ER -