Bayesian sparsity estimation in compressive sensing with application to MR images

Figures & data

Fig. 1 Discrete wavelet transform with three levels.

Fig. 2 A slice of simulated human brain with resolution 128 × 128.

Fig. 3 Wavelet transformed image. Left: Discrete wavelet transformed image. Right: The sparsified image.

Fig. 4 Posterior mean of p_i for every pixel Left: Scatter plot of the posterior mean of p_i. Right: Image form of the posterior mean of p_i.

Fig. 5 $|\widehat{E_{\text{sim}}(s)}-\widehat{E(s)}|*100/N$ for 90 simulations.

Fig. 6 Normal quantile-quantile plot of standardized $\widehat{E(s)}$ from 90 simulations.

Fig. 7 One slice of real human brain with resolution 256 × 256.

Fig. 8 Wavelet transformed image Left: Discrete wavelet transformed image. Right: The sparsified image.

Fig. 9 Posterior mean of p_i for every pixel. Left: Scatter plot of the posterior mean of p_i. Right: Image form of the posterior mean of p_i.