Title :
Robust local polynomial regression using M-estimator with adaptive bandwidth
Author :
Chan, Shing-Chow ; Zhang, Zhiguo
Author_Institution :
Dept. of Electr. & Electron. Eng., Hong Kong Univ., China
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.
Keywords :
impulse noise; maximum likelihood estimation; polynomials; simulation; ICI; M-estimation; M-estimator; adaptive bandwidth; adaptive local bandwidth; confidence intervals intersection; image processing; impulsive noise removal; jump discontinuity preservation; robust LPR algorithm; robust local polynomial regression; traditional LS; video processing; Additive noise; Bandwidth; Filters; Gaussian noise; Kernel; Noise robustness; Polynomials; Probability distribution; Smoothing methods; Statistics;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1328751