Low-Dosed X-Ray Computed Tomography Imaging by Regularized Fully Spatial Fractional-Order Perona-Malik Diffusion

Figure 2

LDCT images (Figures 1(b) and 1(d)) processed by FOPMD and RFS-FOPMD with different fractional orders and iteration number is set to 100. The first column: 𝛼=0.5; the second column: 𝛼=0.8, and the third column: 𝛼=1.2. The first row: Figure 1(b) processed by FOPMD; the second row: Figure 1(b) processed by RFS-FOPMD; the third row: Figure 1(d) processed by FOPMD, and the fourth row: Figure 1(d) processed by RFS-FOPMD.

(a) LDCT image Figure 1(b) processed by FOPMD in [8] with 𝜎=30, 𝛼=0.5, and 𝜆=1/100 and iteration number is 100  

(b) LDCT image Figure 1(b) processed by FOPMD in [8] with 𝜎=30, 𝛼=0.8, and 𝜆=1/100 and iteration number is 100

(c) LDCT image Figure 1(b) processed by FOPMD in [8] with 𝜎=30, 𝛼=1.2, and 𝜆=1/100 and iteration number is 100

(d) LDCT image Figure 1(b) processed by RFS-FOPMD with 𝜎=30, 𝜎₁=1, 𝛼=0.5, and 𝜆=1/100 and iteration number is 100

(e) LDCT image Figure 1(b) processed by RFS-FOPMD with 𝜎=30, 𝜎₁=1, 𝛼=0.8, and 𝜆=1/100 and iteration number is 100

(f) LDCT image Figure 1(b) processed by RFS-FOPMD with 𝜎=30, 𝜎₁=1, 𝛼=1.2, and 𝜆=1/100 and iteration number is 100

(g) LDCT image Figure 1(d) processed by FOPMD in [8] with 𝜎=30, 𝛼=0.5, and 𝜆=1/100 and iteration number is 100

(h) LDCT image Figure 1(d) processed by FOPMD in [8] with 𝜎=30, 𝛼=0.8, and 𝜆=1/100 and iteration number is 100

(i) LDCT image Figure 1(d) processed by FOPMD in [8] with 𝜎=30, 𝛼=1.2, and 𝜆=1/100 and iteration number is 100

(j) LDCT image Figure 1(d) processed by RFS-FOPMD with 𝜎=30, 𝜎₁=1, 𝛼=0.5, and 𝜆=1/100 and iteration number is 100

(k) LDCT image Figure 1(d) processed by RFS-FOPMD with 𝜎=30, 𝜎₁=1, 𝛼=0.8, and 𝜆=1/7 and iteration number is 15

(l) LDCT image Figure 1(d) processed by RFS-FOPMD with 𝜎=30, 𝜎₁=1, 𝛼=1.2, and 𝜆=1/100 and iteration number is 100