A non-transitory computer-readable storage medium comprising program code, which, when executed by a computer, causes the computer to determine a k-space trajectory for acquisition of k-space MRI data independent of an a-priori defined field-of-view, FOV, wherein the 3D k-space trajectory for acquisition of the k-space MRI data is independent of an a-priori defined field-of-view of the MRI image;
- wherein said k-space trajectory comprises a field-of-view independent 3D k-space trajectory based on one or more Jacobi theta functions;
- and
- wherein one or more of the Jacobi theta functions are provided by at least one of θ1, θ2, θ3, θ4 wherein
- θ
- 1
- (
- z
- ,
- q
- )
- :=
- ∑
- n
- =
- -
- ∞
- ∞
- (
- -
- 1
- )
- n
- -
- 1
- /
- 2
-
- q
- (
- n
- +
- 1
- /
- 2
- )
- 2
-
- e
- (
- 2
-
- n
- +
- 1
- )
-
- iz
-
- θ
- 2
- (
- z
- ,
- q
- )
- :=
- ∑
- n
- =
- -
- ∞
- ∞
- q
- (
- n
- +
- 1
- /
- 2
- )
- 2
-
- e
- (
- 2
-
- n
- +
- 1
- )
-
- iz
-
- θ
- 3
- (
- z
- ,
- q
- )
- :=
- ∑
- n
- =
- -
- ∞
- ∞
- q
- n
- 2
-
- e
- 2
-
- niz
-
- θ
- 4
- (
- z
- ,
- q
- )
- :=
- ∑
- n
- =
- -
- ∞
- ∞
- (
- 1
- -
- 1
- )
- n
-
- q
- n
- 2
-
- e
- 2
-
- niz
- .
- wherein
-
- q
- ∈
- ℂ
-
- and
-
- ❘
- "\[LeftBracketingBar]"
- q
- ❘
- "\[RightBracketingBar]"
- <
- 1
- ,
- n
- ∈
- ℕ
- .