2010Experiment Science and TechnologyRequires access

Application of Constrained Least Squares Filtering on Image Restoration Technology

Liang Fang

Open publisher page 1 citations

Abstract

There are a lot of factors such as the phase difference of the optical system,the atmosphere turbulence,moving,diffusion of the focus and the system noise that degrade the digital images during their obtaining.In this paper,image restoration by using the inverse filter,Wiener filter,constrained least squares restoration theory is discussed.The Wiener filter to restore the image depends on the power spectrums of the image and noise,but actually the power spectrum of image and noise is difficult to estimate,so one discusses the constrained least squares restoration which can achieve restoration of degraded images with only the noise variance and mean.The simulation results show constrained least squares restoration is superior to Wiener filtering when the parameter select appropriately.

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What this paper is about

There are a lot of factors such as the phase difference of the optical system,the atmosphere turbulence,moving,diffusion of the focus and the system noise that degrade the digital images during their obtaining.In this paper,image restoration by using the inverse filter,Wiener filter,constrained least squares restoration theory is discussed.The Wiener filter to restore the image depends on the power spectrums of the image and noise,but actually the power spectrum of image and noise is difficult to estimate,so one discusses the constrained least squares restoration which can achieve restoration of degraded images with only the noise variance and mean.The simulation results show constrained least squares restoration is superior to Wiener filtering when the parameter select appropriately.

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Available abstract

There are a lot of factors such as the phase difference of the optical system,the atmosphere turbulence,moving,diffusion of the focus and the system noise that degrade the digital images during their obtaining.In this paper,image restoration by using the inverse filter,Wiener filter,constrained least squares restoration theory is discussed.The Wiener filter to restore the image depends on the power spectrums of the image and noise,but actually the power spectrum of image and noise is difficult to estimate,so one discusses the constrained least squares restoration which can achieve restoration of degraded images with only the noise variance and mean.The simulation results show constrained least squares restoration is superior to Wiener filtering when the parameter select appropriately.

Key concepts: Wiener filter, Image restoration, Noise (video), Least-squares function approximation, Filter (signal processing), Inverse filter, Mathematics, Dark-frame subtraction

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