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 -