Method and apparatus for acquiring magnetic resonance data and generating images therefrom using a two-point Dixon technique

1. A method for acquiring magnetic resonance data from an examination subject, comprising:

operating a magnetic resonance data acquisition unit, that generates a basic magnetic field in which an examination subject is situated, according to a magnetic resonance data acquisition sequence in which magnetic resonance data are acquired from the examination subject at each of a first echo time and a second echo time that occur in said magnetic resonance data acquisition sequence, said magnetic resonance data acquired at each of said first echo time and said second echo time representing multiple image points of an image to be generated of the examination subject;

providing said magnetic resonance data to a computerized processor and, in said computerized processor, operating on said magnetic resonance data with a spectral model of a two-point Dixon technique that relates said magnetic resonance data to a first spectral component and a second spectral component of said magnetic resonance data, and a phase of said magnetic resonance data at said first echo time, and a phase evolution of said magnetic resonance data that occurs due to at least one of field inhomogeneities in said basic magnetic field and eddy currents that occur in said magnetic resonance data acquisition unit between said first echo time and said second echo time;

in said processor, computing a grid having a lower resolution than said image points, with each grid point of said grid encompassing a predetermined number of adjacent image points represented by said magnetic resonance data;

in said processor, for each image point of said magnetic resonance data, implementing a numerical optimization that determines an optimization result selected from the group consisting of an optimization of said phase at said first echo time and an optimization of said phase evolution, with said optimization being implemented based on an equation based on at least one of said phase at said first echo time and said phase evolution being constant for said image points that are encompassed by a grid point of said grid;

in said processor, analytically calculating said first spectral component and said second spectral component from said optimization result; and

making the calculated first and second spectral components available in electronic form at an output of said processor in a format allowing reconstruction of an in-phase image and an out-of-phase image according to said two-point Dixon technique that is modeled by said spectral model.

2. A method as claimed in claim 1 comprising employing, as said equation, an equation having no explicit dependency on either of said first spectral component and said spectral component.

3. A method as claimed in claim 2 comprising employing, as said equation, an equation embodying a variable projection of real-value weightings of said first and second spectral components based on said spectral model.

4. A method as claimed in claim 1 comprising computing said grid by establishing a predetermined number of adjacent image points of said magnetic resonance data that are encompassed by a grid point, dependent on at least one of a user entry made into said computerized processor and a machine parameter of said magnetic resonance data acquisition unit.

5. A method as claimed in claim 1 comprising numerically optimizing only said phase evolution, and using, as said equation, an equation embodying a variation of said phase at said first echo time that occurs for image points that are encompassed by a grid point of said grid.

6. A method as claimed in claim 1 comprising numerically optimizing only said phase at said first echo time, and using, as said equation, an equation embodying a variation of said phase evolution that occurs for image points that are encompassed by a grid point of said grid.

7. A method as claimed in claim 1 comprising analytically calculating said first spectral component and said second spectral component by interpolating at least one of the phase at said first echo time and said phase evolution between adjacent grid points, and determining said first and second spectral components based on said one of the interpolated phase at the first echo time and the interpolated phase evolution between adjacent grid points.

8. A method as claimed in claim 1 comprising optimizing only said phase evolution between adjacent grid points and using, as said equation, an equation having no explicit dependency on said phase at said first echo time.

9. A method as claimed in claim 1 comprising numerically optimizing only said phase at said first echo time and using, as said equation, an equation having no explicit dependency on said phase evolution.

10. A method as claimed in claim 1 comprising analytically calculating said first spectral component and said second spectral component using a variable back-projection of real-value weightings of said first and second spectral components in said spectral model.

11. A method as claimed in claim 1 wherein said optimization result comprises a preliminary optimization result comprising multiple result candidates, and wherein said numerical optimization comprises implementing a region growing technique for said multiple image points of said magnetic resonance data to select a value, from said multiple result candidates, to be used as said optimization result.

12. A method as claimed in claim 1 comprising implementing said numerical optimization as a chi-square optimization.

13. A method for acquiring magnetic resonance data from an examination subject, comprising:

operating a magnetic resonance data acquisition unit, that generates a basic magnetic field in which an examination subject is situated, according to a magnetic resonance data acquisition sequence in which magnetic resonance data are acquired from the examination subject at each of a first echo time and a second echo time that occur in said magnetic resonance data acquisition sequence, said magnetic resonance data acquired at each of said first echo time and said second echo time representing multiple image points of an image to be generated of the examination subject;

providing said magnetic resonance data to a computerized processor and, in said computerized processor, operating on said magnetic resonance data with a spectral model of a two-point Dixon technique that relates said magnetic resonance data to a first spectral component and a second spectral component of said magnetic resonance data, and a phase of said magnetic resonance data at said first echo time, and a phase evolution of said magnetic resonance data that occurs due to at least one of field inhomogeneities in said basic magnetic field and eddy currents that occur in said magnetic resonance data acquisition unit between said first echo time and said second echo time;

in said processor, for each image point of said magnetic resonance data, implementing a numerical optimization that determines an optimization result selected from the group consisting of an optimization of said phase at said first echo time and an optimization of said phase evolution, using an equation having no explicit dependency on either of said first spectral component and said second spectral component;

in said processor, analytically calculating said first spectral component and said second spectral component from said optimization result; and

making the calculated first and second spectral components available in electronic form at an output of said processor in a format allowing reconstruction of an in-phase image and an out-of-phase image according to said two-point Dixon technique that is modeled by said spectral model.

14. A method as claimed in claim 13 comprising optimizing only said phase evolution between adjacent grid points and using, as said equation, an equation having no explicit dependency on said phase at said first echo time.

15. A method as claimed in claim 13 comprising numerically optimizing only said phase at said first echo time and using, as said equation, an equation having no explicit dependency on said phase evolution.

16. A method as claimed in claim 13 comprising analytically calculating said first spectral component and said second spectral component using a variable back-projection of real-value weightings of said first and second spectral components in said spectral model.

17. A method as claimed in claim 13 wherein said optimization result comprises a preliminary optimization result comprising multiple result candidates, and wherein said numerical optimization comprises implementing a region growing technique for said multiple image points of said magnetic resonance data to select a value, from said multiple result candidates, to be used as said optimization result.

18. A method as claimed in claim 13 comprising implementing said numerical optimization as a chi-square optimization.

19. An apparatus for acquiring magnetic resonance data from an examination subject, comprising:

a magnetic resonance data acquisition unit that generates a basic magnetic field in which an examination subject is situated;

a control computer configured to operate said data acquisition unit according to a magnetic resonance data acquisition sequence in which magnetic resonance data are acquired from the examination subject at each of a first echo time and a second echo time that occur in said magnetic resonance data acquisition sequence, said magnetic resonance data acquired at each of said first echo time and said second echo time representing multiple image points of an image to be generated of the examination subject;

a computerized processor provided with said magnetic resonance data, said computerized processor being configured to operate on said magnetic resonance data with a spectral model of a two-point Dixon technique that relates said magnetic resonance data to a first spectral component and a second spectral component of said magnetic resonance data, and a phase of said magnetic resonance data at said first echo time, and a phase evolution of said magnetic resonance data that occurs due to at least one of field inhomogeneities in said basic magnetic field and eddy currents that occur in said magnetic resonance data acquisition unit between said first echo time and said second echo time;

said processor being configured to compute a grid having a lower resolution than said image points, with each grid point of said grid encompassing a predetermined number of adjacent image points represented by said magnetic resonance data;

said processor being configured to implement, for each image point of said magnetic resonance data, a numerical optimization that determines an optimization result selected from the group consisting of an optimization of said phase at said first echo time and an optimization of said phase evolution, with said optimization being implemented based on an equation based on at least one of said phase at said first echo time and said phase evolution being constant for said image points that are encompassed by a grid point of said grid;

said processor being configured to analytically calculate said first spectral component and said second spectral component from said optimization result; and

said processor being configured to make the calculated first and second spectral components available in electronic form at an output of said processor in a format allowing reconstruction of an in-phase image and an out-of-phase image according to said two-point Dixon technique that is modeled by said spectral model.

20. An apparatus for acquiring magnetic resonance data from an examination subject, comprising:

operating a magnetic resonance data acquisition unit that generates a basic magnetic field in which an examination subject is situated;

a control computer configured to operate said data acquisition unit, according to a magnetic resonance data acquisition sequence in which magnetic resonance data are acquired from the examination subject at each of a first echo time and a second echo time that occur in said magnetic resonance data acquisition sequence, said magnetic resonance data acquired at each of said first echo time and said second echo time representing multiple image points of an image to be generated of the examination subject;

a computerized processor provided with said magnetic resonance data, said computerized processor being configured to operate on said magnetic resonance data with a spectral model of a two-point Dixon technique that relates said magnetic resonance data to a first spectral component and a second spectral component of said magnetic resonance data, and a phase of said magnetic resonance data at said first echo time, and a phase evolution of said magnetic resonance data that occurs due to at least one of field inhomogeneities in said basic magnetic field and eddy currents that occur in said magnetic resonance data acquisition unit between said first echo time and said second echo time;

said processor being configured to implement, for each image point of said magnetic resonance data, a numerical optimization that determines an optimization result selected from the group consisting of an optimization of said phase at said first echo time and an optimization of said phase evolution, using an equation having no explicit dependency on either of said first spectral component and said second spectral component;

said processor being configured to analytically calculate said first spectral component and said second spectral component from said optimization result; and

said computerized processor being configured to make the calculated first and second spectral components available in electronic form at an output of said processor in a format allowing reconstruction of an in-phase image and an out-of-phase image according to said two-point Dixon technique that is modeled by said spectral model.