Prior Image Guided Undersampled Dual Energy Reconstruction with Piecewise Polynomial Function Constraint

Algorithm 2

Transposed PPF.

(1) Let 𝝋=𝟎, 𝐰=𝟎;

(2) Calculate aggregated weighting 𝐰=∑_𝑠𝐄^(𝑠)𝑇𝐆⋅𝟏;

(3) For each patch pair 𝐱_𝐿^(𝑠) and 𝐱_𝐻^(𝑠)

(4)   Calculate 𝐖^(𝑠)=𝐆/𝐄^(𝑠)𝐰;

(5)   if ( ||𝐖^(𝑠)𝐱_𝐿^(𝑠)||₂≥𝛿 ) 𝝋^(𝑠)=𝐏(𝐖^(𝑠)𝐱_𝐿^(𝑠))𝐖^(𝑠)𝐱_𝐻^(𝑠);

(6)   else 𝝋^(𝑠)=𝟎;

(7)    𝝋=𝝋+𝐄^(𝑠)𝑇𝝋^(𝑠);

(8) End for

(9) Output 𝝋;