Fully trend preserving operators
Date
2004
Authors
Rohwer C.H.
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Abstract
The concept of fully trend preserving (ftp) operators on sequences was introduced to prove variation preservation on the outputs of LULU-separators. It turns out that this property is central in further analysis of compositions of LULU-smoothers, and other smoothers. Several important results follow, amongst them the co-idempotence of a large class of smoothers. This has been an unresolved problem up to now. © 2004 NISC Pty Ltd.
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Quaestiones Mathematicae
27
3
27
3