A Novel Frequency Domain Image Reconstruction Based on the Tikhonov Regularization and Robust Estimation Technique for Compressive Sensing
A Novel Frequency Domain Image Reconstruction Based on the Tikhonov Regularization and Robust Estimation Technique for Compressive Sensing
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2013-05
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eng
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application/pdf
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6 pages
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Proceedings of the 10th International Conference of Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON 2013), Krabi, Thailand, May 15-17, 2013. (IEEE Xplore)
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Abstract
Recently, a lot of attention has been paid to image
reconstructionalgorithms based on Smoothed L0 (SL0) under the
frequency domain. SL0 is fast and accurate under the noise free
environment however it is unstable with the additional
noise.According to ill-posed condition; without any prior
information of the original image, the reconstruction procedure
of SL0 is much affected by the noise. The frequency domain
Tikhonov reduces and constrains the gap of restored image due
to the ill-posed situation. Therefore, image restoration algorithm
is better and immutable under the noise which can eliminate the
image’s properties. Moreover, in this paper we propose
an l1 estimation, it is conceived less sensitivity to the
outlier than an l2. Thereforethe quality of reconstructed
image under noise with high power is improved. Furthermore,
the advancedrobust regularization algorithmcan be effectively
applied under difference type of noise models (such as Speckle
noise,AWGN, Salt & Pepper noise and Poisson noise) and at
different noise powers.