Least Squares-Based Filter for Remote SensingImage Noise Reduction

Author

Li, Zhi-Wei ; Ding, Xiao-li ; Zheng, Da-Wei ; Huang, Cheng

Author_Institution

Dept. of Geomatics, Central South Univ., Changsha

Volume

46

Issue

7

fYear

2008

fDate

7/1/2008 12:00:00 AM

Firstpage

2044

Lastpage

2049

Abstract

The Vondrak filter is a unique technique for smoothing data. The filter aims to achieve a balance between the fidelity and the smoothness of the filtered results. It can therefore preserve the original attributes of the observational data while, at the same time, smooth out the noise. We reformulate the 1-D Vondrak filter that has been widely used in data processing in fields such as astronomy and geophysics and then extend it into two dimensions. The method of conjugate gradients is used to solve the least squares optimization problem. The proposed 2-D filter is a powerful tool for enhancing the quality of various geoscience and remote sensing data such as satellite images. Various tests with simulated and real synthetic aperture radar interferograms show that the new filter is very effective in removing the noise.

Keywords

filters; geophysical signal processing; image denoising; least squares approximations; optimisation; radar interferometry; remote sensing by radar; synthetic aperture radar; 2D Vondrak filter; conjugate gradient method; data processing; data smoothing; least squares based filter; least squares optimization problem; remote sensing image noise reduction; synthetic aperture radar interferograms; Astronomy; Data processing; Filters; Geophysics; Geoscience and remote sensing; Least squares methods; Noise reduction; Optimization methods; Remote sensing; Smoothing methods; 2-D filter; Least squares; VondrÁk filter; synthetic aperture radar (SAR);

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/TGRS.2008.916981

Filename

4544947