Evaluation of optical properties for real photonic crystal fiber based on total variation in wavelet domain

Shen, Yan; Wang, Xin; Lou, Shuqin; Zhao, Tian

doi:10.1016/j.yofte.2016.05.004

Cited by 6 publications

(1 citation statement)

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“…Zhuang proposed joint priors capture global and local sparse nature of the MR image by jointing image and patch priors to promote image structures and suppress artefacts or noises [14]. The sparsity of the transformation domain was introduced into the reconstruction, such as partial Fourier transformation [15], gradient domain [16], wavelet domain [17, 18], and the joint sparsity in the wavelet and TV domains [19].…”

Section: Introductionmentioning

confidence: 99%

Shearlet‐based compressed sensing with non‐local similarity for MRI breast image reconstruction

Shao

Wei

Xie

et al. 2021

IET Signal Processing

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Magnetic resonance imaging (MRI) requires long detection time and makes patients uncomfortable. The proposed compressed sensing MRI compressed sensing with shearlet dictionary and non-local similarity model is established with shearlet dictionary and non-local similarity. The shearlet dictionary is adopted in MRI compressed sensing to represent breast tissues with sparser data in different scales and directions. The non-local similarity of an image is integrated to the model to preserve the lesion details of the reconstructed MRI images. The proposed model is solved by the split Bregman algorithm to obtain the optimized image iteratively. Experiments are performed on practical MRI breast images with sampling data of 13% and 10%. With the decrease of sampling data, the proposed method can reconstruct the image with better visual effect and higher peak signal-to-noise ratio (PSNR) and structural similarity index (SSIM) than traditional methods. There is an improvement of 13 dB of PSNR and 0.2 of SSIM under 10% data. The proposed method can reconstruct MRI images with less data and higher reconstruction quality compared with the traditional methods.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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