Restoration of irregularly sampled image degradation due to satellite vibrations

Abstract:

A new method is proposed to solve a problem of image restoration which would be degraded by TDICCD irregular sampling process owning to satellite vibrations. Firstly, the rules of image geometric quality degradation is mathematically modeled using unequally spaced fast Fourier transform(USFFT) interpolation, and then a full image degradation model is developed combined with the blurred degradation process. Subsequently, the inverse solution problem of the model equations is transformed into a system of linear equations with a Toeplitz matrix as system matrix on the basis of the USFFT interpolation characteristics. And then the equations can be sovled efficiently. Then, a new method of image restoration is presented, which can implement not only deblurring but also irregular to regular sampling. Finally, the method is verified using simulated standard pattern and real remote sensing images. Experimental results indicate that the proposed method is able to improve the irregularly sampled image effectively, and it has fast computation. The Structural Similarity index between the restored and ideal images is no less than 0.93 in the case of seriously blurred, irregularly sampled and noisy images. The proposed approach can be applied to restore the irregular sampling images owning to on-orbit vibrations effectively.