Deconvolution-Based CT and MR Brain Perfusion Measurement: Theoretical Model Revisited and Practical Implementation Details

Figure 10

Deconvolution with Tikhonov regularization: (a) Regularized solution 𝐤^(tikh)_𝜆 for two different regularization parameters 𝜆_rel and (b) maximum of 𝐤^(tikh)_𝜆 as a function of 𝜆_rel. (𝐤^(tikh)_𝜆)_𝑗 denotes the 𝑗th entry of the vector 𝐤^(tikh)_𝜆.

(a) Regularized solution 𝐤^(tikh)_𝜆

(b) Dependency of max(𝐤^(tikh)_𝜆) on 𝜆_rel plotted on a logarithmic scale