Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10444-004-8007-3
Title: Causality properties of refinable functions and sequences
Authors: Goh, S.S. 
Goodman, T.N.T.
Lee, S.L. 
Keywords: Causality property
Refinable functions
Refinable sequences
Variation-diminishing
Issue Date: Jan-2007
Source: Goh, S.S., Goodman, T.N.T., Lee, S.L. (2007-01). Causality properties of refinable functions and sequences. Advances in Computational Mathematics 26 (1-3) : 231-250. ScholarBank@NUS Repository. https://doi.org/10.1007/s10444-004-8007-3
Abstract: We show that the scale-space operators defined by a class of refinable kernels satisfy a version of the causality property, and a sequence of such operators converges to the corresponding operator with the Gaussian kernel, if the sequence of refinable kernels converges to the Gaussian function. In addition, we consider discrete analogs of these operators and show that a class of refinable sequences satisfies a discrete version of the causality property. The solutions of the corresponding discrete refinement equations are also investigated in detail. © 2006 Springer.
Source Title: Advances in Computational Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102969
ISSN: 10197168
DOI: 10.1007/s10444-004-8007-3
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