Method and apparatus for sectional optimization of radial MR pulse sequences

1. A method for determining a pulse sequence for magnetic resonance raw data acquisition, said method comprising:

in a processor, establishing a pulse sequence for operating a magnetic resonance data acquisition scanner to acquire raw magnetic resonance data, in which said raw magnetic resonance data are entered into k-space along radial trajectories in k-space according to readout gradients and phase gradients in said sequence, each of said readout gradient and phase gradients having an amplitude and an increase with respect to time in respective directions corresponding to physical axes of said scanner;

in said processor, setting the respective amplitudes and increases with respect to time of said readout gradients and phase gradients in said sequence, for individual sections of k-space, dependent on an orientation of the respective section in k-space and dependent on global maximum values of said amplitudes, and global maximum values of said increases with respect to time, on said physical axes; and

making said pulse sequence available from said processor in electronic form in a format configured to operate said scanner.

2. A method as claimed in claim 1 comprising, in said processor, determining maximum possible values for said amplitudes and said increases with respect to time of said readout gradients and said phase gradients on logical axes.

3. A method as claimed in claim 1 wherein said pulse sequence comprises a plurality of data acquisition repetitions, and comprising establishing said sections in k-space so that each section contains multiple repetitions.

4. A method as claimed in claim 1 wherein said pulse sequence comprises a plurality of data acquisition repetitions, and comprising establishing said sections in k-space so that each section contains only one repetition.

5. A method as claimed in claim 1 wherein each radial trajectory in k-space proceeds at an angle from a center of k-space, and wherein said method comprises, in said processor:

determining a best possible angle of a radial k-space trajectory, at which said readout gradients and said phase gradients are destructively superimposed on logical axes and are optimally distributed on said physical axes;

identifying a radial k-space trajectory that has said best possible angle in k-space, and determining said amplitudes and increases with respect to time of said readout gradients and phase gradients for said radial k-space trajectory having said best possible angle; and

determining respective amplitudes and increases with respect to time of said readout gradients and phase gradients on said logical axes for other radial k-space trajectories while not exceeding said global maximum values of said amplitudes and increases with respect to time.

6. A method as claimed in claim 5 wherein said pulse sequence comprises a plurality of data acquisition repetitions, and wherein said method comprises, in said processor:

determining the respective amplitudes and increases with respect to time of said readout gradients and phase gradients individually for respective radial k-space trajectories so that a respective radial k-space trajectory is fully sampled only for a repetition having said best possible angle, and with only a portion of the respective k-space trajectory being sampled for other repetitions having other trajectory angles that differ from said best possible angle.

7. A method as claimed in claim 6 comprising sampling only an inner rectangle in k-space for said other repetitions having said other trajectory angles that differ from said best possible angle.

8. A method as claimed in claim 6 wherein, for said other repetitions having said other trajectory angles that differ from said best possible angle, starting sampling in k-space at an end of an inner rectangle of k-space, and fully sampling a remainder of k-space along a direction of the respective k-space trajectory, and sampling adjacent k-space trajectories alternately in opposite directions.

9. A magnetic resonance imaging method comprising:

in a processor, establishing a pulse sequence for operating a magnetic resonance data acquisition scanner to acquire raw magnetic resonance data, in which said raw magnetic resonance data are entered into k-space along radial trajectories in k-space according to readout gradients and phase gradients in said sequence, each of said readout gradient and phase gradients having an amplitude and an increase with respect to time in respective directions corresponding to physical axes of said scanner;

in said processor, setting the respective amplitudes and increases with respect to time of said readout gradients and phase gradients in said sequence, for individual sections of k-space, dependent on an orientation of the respective section in k-space and dependent on global maximum values of said amplitudes, and said increases with respect to time, on said physical axes;

from said processor, operating said scanner with said pulse sequence to acquire said raw magnetic resonance data, and to enter the raw magnetic resonance data into k-space, according to said pulse sequence; and

in a reconstruction computer, reconstructing image data from the acquired raw magnetic resonance data in k-space.

10. A method as claimed in claim 9 comprising reconstructing said image data using a partial Fourier transformation.

11. A magnetic resonance data acquisition pulse sequence optimization computer comprising:

a processor configured to establish a pulse sequence for operating a magnetic resonance data acquisition scanner to acquire raw magnetic resonance data, in which said raw magnetic resonance data are entered into k-space along radial trajectories in k-space according to readout gradients and phase gradients in said sequence, each of said readout gradient and phase gradients having an amplitude and an increase with respect to time in respective directions corresponding to physical axes of said scanner;

an input interface via which said processor is configured to receive inputs that electronically designate global maximum values of said amplitudes, and global maximum values of said increases with respect to time, of said readout gradients and said phase gradients;

said processor being configured to set the respective amplitudes and increases with respect to time of said readout gradients and phase gradients in said sequence, for individual sections of k-space, dependent on an orientation of the respective section in k-space and dependent on said global maximum values of said amplitudes, and said global maximum values of said increases with respect to time, on said physical axes; and

an output interface adapted to communicate with said scanner, at which said processor is configured to make said pulse sequence available in electronic form in a format configured to operate said scanner.

12. A magnetic resonance imaging apparatus comprising:

a magnetic resonance data acquisition scanner;

a processor configured to establish a pulse sequence for operating said magnetic resonance data acquisition scanner to acquire raw magnetic resonance data, in which said raw magnetic resonance data are entered into k-space along radial trajectories in k-space according to readout gradients and phase gradients in said sequence, each of said readout gradient and phase gradients having an amplitude and an increase with respect to time in respective directions corresponding to physical axes of said scanner;

said processor being configured to set the respective amplitudes and increases with respect to time of said readout gradients and phase gradients in said sequence, for individual sections of k-space, dependent on an orientation of the respective section in k-space and dependent on global maximum values of said amplitudes, and said increases with respect to time, on said physical axes; and

said processor being configured to operate said scanner according to said pulse sequence.

13. A non-transitory, computer-readable data storage medium encoded with programming instructions, said storage medium being loaded into a computer system of a magnetic resonance apparatus that comprises a magnetic resonance data acquisition scanner, said programming instructions causing said computer system to:

establish a pulse sequence for operating said magnetic resonance data acquisition scanner to acquire raw magnetic resonance data, in which said raw magnetic resonance data are entered into k-space along radial trajectories in k-space according to readout gradients and phase gradients in said sequence, each of said readout gradient and phase gradients having an amplitude and an increase with respect to time in respective directions corresponding to physical axes of said scanner;

set the respective amplitudes and increases with respect to time of said readout gradients and phase gradients in said sequence, for individual sections of k-space, dependent on an orientation of the respective section in k-space and dependent on global maximum values of said amplitudes, and said increases with respect to time, on said physical axes; and

make said pulse sequence available from said computer system in electronic form in a format configured to operate said scanner.