Radon Transformation - Digital Signal Processing for Medical Imaging Using Matlab - page 6

Fig. 1.3 Parallel beam radon transformation of the image 'A' (refer Fig. 1.1 ) with theta
resolution

5014 ◦

= 0 .

1.2.2 List of Figs. 1.1 to 1.11 in Terms of the Notations Used

• Figure 1.1 : Original image subjected to parallel beam projection.

• Figure 1.2 : Parallel beam projection geometry

• Figure 1.3 : R ( l ,θ) (Sinogram) corresponding to the original image with the reso-

lution of θ = 24 . 5682.

• | |

Figure 1.4 : Impulse response and the transfer function of the filter U

• ( ,θ) θ = . ( ,θ) ∗| |

Figure 1.5 : R l for 24 5682 degree and R l U

• Figure 1.6 : r θ for various θ with R ( l ,θ) ∗ IFT ( | U | ) = R ( l ,θ) ((i.e.) without

filtering)

• Figure 1.7 : r for various θ (with filtering)

θ

Figure 1.8 : θ =
θ =

• r for various with R ( l ,θ) ∗ IFT ( | U | ) = R ( l ,θ) ((i.e.)

θ

0

without filtering)

Figure 1.9 : θ =
θ =

• r for various ((i.e.)without filtering)

θ

0

• Figure 1.10 : Final reconstructed image f d obtained with R ( l ,θ) ∗ IFT ( | U | ) =

R ( l ,θ) ((i.e) without filtering)

• Figure 1.11 : Final reconstructed image f d (with filtering)