Table 1 Workflow for the proposed low rank texture prior algorithm

Texture learning

Learning the tissue-specific texture from corresponding full-dose image.

Image reconstruction

Initialize \( \mathcal{X} \) by algebraic reconstruction technique [25];

 Set parameters λ, μ,  β.

 While stop criterion is not met:

 Setp1: \( {\mathcal{X}}^{t+1}={\mathrm{argmin}}_{\mathcal{X}}{\left\Vert \mathcal{AX}-\mathcal{Y}\right\Vert}_2^2+\beta R\left(\mathcal{X}\right)+\mu {\left\Vert {\mathcal{D}}^t-\mathcal{X}-{\mathcal{V}}^t\right\Vert}_2^2 \);

 Step2: \( {\mathcal{D}}^{t+1}={\mathrm{argmin}}_{\mathcal{D}}\lambda {\left|\mathcal{D}\right|}_{\ast }+\mu {\left\Vert \mathcal{D}-{\mathcal{X}}^{t+1}-{\mathcal{V}}^t\right\Vert}_2^2 \);

 Step3: \( {\mathcal{V}}^{t+1}={\mathcal{V}}^t+{\mathcal{X}}^{t+1}-{\mathcal{D}}^{t+1} \);

 End until the stop criterion is satisfied.