Quincunx Fundamental Refinable Functions in Arbitrary Dimensions

Quincunx Fundamental Refinable Functions in Arbitrary Dimensions

In this paper, we generalize the family of Deslauriers–Dubuc’s interpolatory masks from dimension one to arbitrary dimensions with respect to the quincunx dilation matrices, thereby providing a family of quincunx fundamental refinable functions in arbitrary dimensions. We show that a family of uniqu...

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Bibliographic Details
Main Author: Xiaosheng Zhuang
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Axioms
Subjects:
quincunx lattice
checkerboard lattice
sum rule
full-axis symmetry
interpolatory masks
interpolatory subdivision schemes
nonnegative masks
fundamental refinable functions
Online Access:https://www.mdpi.com/2075-1680/6/3/20

Internet

https://www.mdpi.com/2075-1680/6/3/20

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