On a class of L1-stable nonlinear cell-average multiresolution schemes

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摘要

This paper is devoted to the analysis of a general family of nonlinear cell-average multiresolution schemes. The L1-stability of this multiresolution transform is analyzed. Some examples are presented.

论文关键词：41A05,41A10,65D05,65D17,Cell-average multiresolution,Nonlinear subdivision scheme,L1-stability

论文评审过程：Received 18 September 2008, Revised 4 June 2009, Available online 21 June 2009.

论文官网地址：https://doi.org/10.1016/j.cam.2009.06.003