Method and apparatus for determination of a magnetic resonance system control sequence

1. A computerized method to determine a magnetic resonance system control sequence for operating a magnetic resonance apparatus in an acquisition procedure to acquire magnetic resonance data from a subject situated in the magnetic resonance apparatus, said method comprising:

providing a computer with a target magnetization of nuclear spins in the subject, to be produced a radio-frequency pulse train of said magnetic resonance system control sequence;

in said computer, determining, or receiving a designation of, a k-space trajectory for entering raw data from the subject into k-space in said acquisition procedure, the entry of said raw data into k-space during said acquisition procedure being subject to deviation from said k-space trajectory due to an error source that occurs in operation of said magnetic resonance apparatus in said acquisition procedure;

in said computer, automatically optimizing said radio-frequency pulse train for said k-space trajectory by executing an RF pulse optimization algorithm in said computer using a target function comprising a combination of a plurality of different trajectory curve functions, with at least one of said trajectory curve functions being based on a trajectory error model that models the error produced by said at least one error source; and

making said magnetic resonance system control sequence with the optimized radio-frequency pulse train therein, available in electronic form at an output of said computer, in a format configured to operate said magnetic resonance apparatus.

2. A method as claimed in claim 1 comprising, employing as said target function in said computer, a target function wherein said different trajectory curve functions are based on different trajectory error models.

3. A method as claimed in claim 2 comprising generating said different trajectory error models from a same trajectory error model type, but using different error parameters.

4. A method as claimed in claim 2 comprising generating said different trajectory error models as different trajectory error model types.

5. A method as claimed in claim 1 comprising, in said computer, entering said different trajectory models into said target function with predetermined respective weightings.

6. A method as claimed in claim 1 comprising generating said trajectory error models independently of said raw magnetic resonance data acquired in said acquisition procedure.

7. A method as claimed in claim 1 comprising generating said error model to model an error produced by at least one error source selected from the group consisting of amplitude scaling errors, eddy current errors, basic magnetic field errors, gradient mixed term effects, and coupling effects among radio-frequency antennas.

8. A method as claimed in claim 1 comprising using and optimizing, as said radio-frequency pulse train, a multi-channel pulse train comprising multiple, individual radio-frequency pulse trains emitted in parallel in said acquisition procedure by said magnetic resonance apparatus, via multiple, different, independent radio-frequency transmission channels of said magnetic resonance apparatus.

9. A method as claimed in claim 1 comprising employing, as said target function, a target function formulated as an A-matrix that comprised multiple, different sub-matrices, the respective sub-matrices that are respectively based on said different trajectory curve functions.

10. A method as claimed in claim 9 wherein one of said sub-matrices is based on an ideal trajectory curve function.

11. A computerized method to operate a magnetic resonance apparatus in an acquisition procedure to acquire magnetic resonance data from a subject situated in the magnetic resonance apparatus according to a magnetic resonance system control sequence, said method comprising:

providing a computer with a target magnetization of nuclear spins in the subject, to be produced a radio-frequency pulse train of a magnetic resonance system control sequence;

in said computer, determining, or receiving a designation of, a k-space trajectory for entering raw data from the subject into k-space in said acquisition procedure, the entry of said raw data into k-space during said acquisition procedure being subject to deviation from said k-space trajectory due to an error source that occurs in operation of said magnetic resonance apparatus in said acquisition procedure;

in said computer, automatically optimizing said radio-frequency pulse train for said k-space trajectory by executing an RF pulse optimization algorithm in said computer using a target function comprising a combination of a plurality of different trajectory curve functions, with at least one of said trajectory curve functions being based on a trajectory error model that models the error produced by said at least one error source; and

making said magnetic resonance system control sequence with the optimized radio-frequency pulse train therein, available in electronic form at an output of said computer, and operating said magnetic resonance apparatus according to said magnetic resonance system control sequence with the optimized radio-frequency pulse train therein.

12. A control sequence determination device to determine a magnetic resonance system control sequence for operating a magnetic resonance apparatus in an acquisition procedure to acquire magnetic resonance data from a subject situated in the magnetic resonance apparatus, said device comprising:

a computer having an input, provided with a target magnetization of nuclear spins in the subject, to be produced a radio-frequency pulse train of said magnetic resonance system control sequence;

said computer being configured to determine, or to receive via said input a designation of, a k-space trajectory for entering raw data from the subject into k-space in said acquisition procedure, the entry of said raw data into k-space during said acquisition procedure being subject to deviation from said k-space trajectory due to an error source that occurs in operation of said magnetic resonance apparatus in said acquisition procedure;

said computer being configured to automatically optimize said radio-frequency pulse train for said k-space trajectory by executing an RF pulse optimization algorithm in said computer using a target function comprising a combination of a plurality of different trajectory curve functions, with at least one of said trajectory curve functions being based on a trajectory error model that models the error produced by said at least one error source; and

said computer being configured to make said magnetic resonance system control sequence with the optimized radio-frequency pulse train therein, available in electronic form at an output of said computer, in a format configured to operate said magnetic resonance apparatus.

13. A magnetic resonance apparatus comprising:

a magnetic resonance data acquisition unit operable with a magnetic resonance system control sequence in an acquisition procedure to acquire magnetic resonance data from a subject situated in the magnetic resonance data acquisition unit;

a computer provided with a target magnetization of nuclear spins in the subject, to be produced a radio-frequency pulse train of said magnetic resonance system control sequence;

said computer being configured to determine, or to receive a designation of, a k-space trajectory for entering raw data from the subject into k-space in said acquisition procedure, the entry of said raw data into k-space during said acquisition procedure being subject to deviation from said k-space trajectory due to an error source that occurs in operation of said magnetic resonance apparatus in said acquisition procedure;

said computer being configured to automatically optimize said radio-frequency pulse train for said k-space trajectory by executing an RF pulse optimization algorithm in said computer using a target function comprising a combination of a plurality of different trajectory curve functions, with at least one of said trajectory curve functions being based on a trajectory error model that models the error produced by said at least one error source; and

said computer being configured to make said magnetic resonance system control sequence with the optimized radio-frequency pulse train therein, available in electronic form at an output of said computer, and to operate said magnetic resonance data acquisition unit according to said magnetic resonance system control sequence with the optimized radio-frequency pulse train therein.

14. A non-transitory, computer-readable data storage medium encoded with programming instructions to determine a magnetic resonance system control sequence for operating a magnetic resonance apparatus in an acquisition procedure to acquire magnetic resonance data from a subject situated in the magnetic resonance apparatus, said storage medium being loaded into a computer and said programming instructions causing said computer to:

receive a target magnetization of nuclear spins in the subject, to be produced a radio-frequency pulse train of said magnetic resonance system control sequence;

determine, or receive a designation of, a k-space trajectory for entering raw data from the subject into k-space in said acquisition procedure, the entry of said raw data into k-space during said acquisition procedure being subject to deviation from said k-space trajectory due to an error source that occurs in operation of said magnetic resonance apparatus in said acquisition procedure;

optimize said radio-frequency pulse train for said k-space trajectory by executing an RF pulse optimization algorithm in said computer using a target function comprising a combination of a plurality of different trajectory curve functions, with at least one of said trajectory curve functions being based on a trajectory error model that models the error produced by said at least one error source; and

make said magnetic resonance system control sequence with the optimized radio-frequency pulse train therein, available in electronic form at an output of said computer, in a format configured to operate said magnetic resonance apparatus.