A Generalised Linear and Nonlinear Spline Filter

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this paper, a generalised spline filter, that has a unified description for both the linear spline filter and the nonlinear robust spline filter, is proposed. Based on the M-estimation theory, the general spline filter model can be solved using an iterated re-weighted least squared method which is also general for both the linear and the nonlinear spline filter. The algorithm has been verified to be effective, efficient and fast.

Original languageEnglish
Pages (from-to)544-547
Number of pages4
JournalWear
Volume271
Issue number3-4
DOIs
Publication statusPublished - 3 Jun 2011

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title = "A Generalised Linear and Nonlinear Spline Filter",
abstract = "In this paper, a generalised spline filter, that has a unified description for both the linear spline filter and the nonlinear robust spline filter, is proposed. Based on the M-estimation theory, the general spline filter model can be solved using an iterated re-weighted least squared method which is also general for both the linear and the nonlinear spline filter. The algorithm has been verified to be effective, efficient and fast.",
keywords = "Generalised Spline Filter, M-Estimation, Nonlinear Filter, Robust Filter, Surface Characterisation",
author = "W. Zeng and X. Jiang and P. Scott",
year = "2011",
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doi = "10.1016/j.wear.2010.04.010",
language = "English",
volume = "271",
pages = "544--547",
journal = "Wear",
issn = "0043-1648",
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A Generalised Linear and Nonlinear Spline Filter. / Zeng, W.; Jiang, X.; Scott, P.

In: Wear, Vol. 271, No. 3-4, 03.06.2011, p. 544-547.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A Generalised Linear and Nonlinear Spline Filter

AU - Zeng, W.

AU - Jiang, X.

AU - Scott, P.

PY - 2011/6/3

Y1 - 2011/6/3

N2 - In this paper, a generalised spline filter, that has a unified description for both the linear spline filter and the nonlinear robust spline filter, is proposed. Based on the M-estimation theory, the general spline filter model can be solved using an iterated re-weighted least squared method which is also general for both the linear and the nonlinear spline filter. The algorithm has been verified to be effective, efficient and fast.

AB - In this paper, a generalised spline filter, that has a unified description for both the linear spline filter and the nonlinear robust spline filter, is proposed. Based on the M-estimation theory, the general spline filter model can be solved using an iterated re-weighted least squared method which is also general for both the linear and the nonlinear spline filter. The algorithm has been verified to be effective, efficient and fast.

KW - Generalised Spline Filter

KW - M-Estimation

KW - Nonlinear Filter

KW - Robust Filter

KW - Surface Characterisation

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U2 - 10.1016/j.wear.2010.04.010

DO - 10.1016/j.wear.2010.04.010

M3 - Article

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EP - 547

JO - Wear

JF - Wear

SN - 0043-1648

IS - 3-4

ER -