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Radon Transform

Radon Transform. R98229029 CHC. 2-D Radon Transform. R = radon(I, theta) returns the Radon transform R of the intensity image I for the angle theta degrees. 2-D Radon Transform. 2-D Radon Transform. 2-D Radon Transform. 2-D Radon Transform. 3-D Radon Transform. 3-D Radon Transform.

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Radon Transform

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  1. Radon Transform R98229029 CHC

  2. 2-D Radon Transform • R = radon(I, theta) returns the Radon transform R of the intensity image I for the angle theta degrees.

  3. 2-D Radon Transform

  4. 2-D Radon Transform

  5. 2-D Radon Transform

  6. 2-D Radon Transform

  7. 3-D Radon Transform

  8. 3-D Radon Transform

  9. 3-D Radon Transform • function [R,Xp,Yp]=radon3(I,theta,phi) • [yi,xi,zi]=size(I); • x=-floor(xi/2):floor(xi/2); • y=-floor(yi/2):floor(yi/2); • z=-floor(zi/2):floor(zi/2); • [X Y Z]=meshgrid(x,y,z); • theta=rad(theta);phi=rad(phi); • theta=theta/180*pi;phi=phi/180*pi; • X1=cos(phi)*X+sin(phi)*Y; • Y1=-cos(theta)*sin(phi)*X+cos(theta)*cos(phi)*Y+sin(theta)*Z; • Xr=round(X1(:)); • Yr=round(Y1(:)); • my=min(Yr)-1; • mx=min(Xr)-1; • R=zeros(max(Yr)-my,max(Xr)-mx); • for i=1:length(I(:)); • R(Yr(i)-my,Xr(i)-mx)=R(Yr(i)-my,Xr(i)-mx)+I(i); • end • Xp=min(Xr):max(Xr); • Yp=min(Yr):max(Yr);

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