Robust local polynomial regression using M-estimator with adaptive bandwidth

Shing Chow Chan; Zhiguo Zhang

Robust local polynomial regression using M-estimator with adaptive bandwidth

Shing Chow Chan^*
, Zhiguo Zhang

^*Corresponding author for this work

The University of Hong Kong

Research output: Contribution to journal › Conference article › peer-review

6 Scopus citations

Abstract

In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.

Original language	English
Pages (from-to)	III333-III336
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	3
State	Published - 2004
Externally published	Yes
Event	2004 IEEE International Symposium on Circuits and Systems - Proceedings - Vancouver, BC, Canada Duration: 23 May 2004 → 26 May 2004

Cite this

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title = "Robust local polynomial regression using M-estimator with adaptive bandwidth",

abstract = "In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.",

author = "Chan, \{Shing Chow\} and Zhiguo Zhang",

year = "2004",

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journal = "Proceedings - IEEE International Symposium on Circuits and Systems",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2004 IEEE International Symposium on Circuits and Systems - Proceedings ; Conference date: 23-05-2004 Through 26-05-2004",

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T1 - Robust local polynomial regression using M-estimator with adaptive bandwidth

AU - Chan, Shing Chow

AU - Zhang, Zhiguo

PY - 2004

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N2 - In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.

AB - In this paper, a new method for robust local polynomial regression (LPR) using M-estimator with adaptive bandwidth is proposed. This is motivated by the limitation of traditional LPR in detecting and removing impulsive noise or outlies. By using M-estimation technique and the intersection of confidence intervals (ICI) rule for choosing an adaptive local bandwidth, a robust LPR algorithm is developed. Simulation results show that the new M-estimation-based LPR performs considerably better than the traditional LS-based method in removing the impulsive noise as well as preserving the jump discontinuities, which are frequently found in image and video processing.

UR - https://www.scopus.com/pages/publications/4344714153

M3 - 会议文章

AN - SCOPUS:4344714153

SN - 0271-4310

VL - 3

SP - III333-III336

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - 2004 IEEE International Symposium on Circuits and Systems - Proceedings

Y2 - 23 May 2004 through 26 May 2004

ER -

Robust local polynomial regression using M-estimator with adaptive bandwidth

Abstract

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