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Why isn't FANBEAM linear?

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Matt J
Matt J on 31 Oct 2013
Commented: Matt J on 20 Dec 2019
From the test below (R2013a), it appears that the FANBEAM tomographic projection function doesn't satisfy linearity/superposition with high accuracy
errfunc=@(a,b) norm(a(:)-b(:))/norm(b(:));
I1=rand(100);
I2=rand(100);
F=@(z) fanbeam(z,100);
>> errfunc(F(I1)+F(I2) , F(I1+I2)) %relative error calculation
ans =
0.0015
Conversley, the RADON tomographic projector shows a lot more linearity,
R=@(z) radon(z);
>> errfunc(R(I1)+R(I2) , R(I1+I2))
ans =
9.4304e-16
Why is this?
  3 Comments
Matt J
Matt J on 20 Dec 2019
Sill there in R2019b...

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