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Impact on geometrical accuracy

Group y-terms for distortions in fase-encoding direction:

and solve for y

1

y y

y

G

y y

TGmy

Tzyx Bm TG ym

y

∆ −=

∆ − ∆ −

1

) , ,(

γ

γ

γ

y

G

G

B

y y

y

+=

1

y

G

G

B

y y

y

+=

1

Assuming that the errors in the gradient are independent of the gradient

step, this is equal to