# US 2014/0197834 A1 · Method and magnetic resonance apparatus for echo planar imaging with data entry into k-space along a zigzag trajectory > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 2014/0197834 A1 - Document ID: US20140197834A1 - Status: Published application - Kind: A1 - Application number: 14/154,364 - Filed: 2014-01-14 - Published: 2014-07-17 - Earliest claimed: 2013-01-14 - Assignees: Siemens Aktiengesellschaft; Max-Planck-Gesellschaft zur Foerderung der Wissenschaften e.V. - Inventors: David Andrew Porter; Robin Heidemann - Web page: https://patentgrep.com/patent/US20140197834A1 ## CPC - G01R 33/4818: {MR characterised by data acquisition along a specific k-space trajectory or by the temporal order of k-space coverage, e.g. centric or segmented coverage of k-space} - G01R 33/4824: {using a non-Cartesian trajectory} - G01R 33/5616: {using gradient refocusing, e.g. EPI} - G01R 33/5611: {Parallel magnetic resonance imaging, e.g. sensitivity encoding [SENSE], simultaneous acquisition of spatial harmonics [SMASH], unaliasing by Fourier encoding of the overlaps using the temporal dimension [UNFOLD], k-t-broad-use linear acquisition speed-up technique [k-t-BLAST], k-t-SENSE (structural details of arrays of sub-coils G01R33/3415)} - G01R: MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES (indicating correct tuning of resonant circuits H03J3/12) ## Abstract In a method and apparatus for echo planar magnetic resonance (MR) imaging sequence of phase encoding gradient fields and a sequence of readout gradient fields are applied in order to produce a well-defined zigzag-type trajectory for entering raw data into k-space. Zigzag-type trajectories can be achieved that have flanks without curvature, or without significant curvature. Cartesian methods for image reconstruction of parallel MR imaging are applied to echo planar MR imaging with such zigzag-type trajectories. ## Claims ### Claim 1 A method for echo planar magnetic resonance (MR) imaging, comprising: operating an MR data acquisition unit, in which a subject is situated, to acquire MR raw data from the subject in an echo planar MR imaging sequence including, in said echo planar MR imaging sequence, radiating a radio-frequency (RF) pulse that produces a transverse magnetization of nuclear spins in the subject, said transverse magnetization of said nuclear spins exhibiting a phase; operating said MR data acquisition unit in said echo planar MR imaging sequence to also apply a sequence of readout gradient fields configured with alternating positive and negative values, and to apply a sequence of phase encoding gradient fields configured to have only positive values that vary as a function of time and that continuously increase the phase of the transverse magnetization as a function of time, or to have only negative values that vary as a function of time and that continuously decrease the phase of the transverse magnetization as a function of time, wherein applying said sequence of readout gradient fields and applying said sequence of phase encoding gradient fields produces a zigzag-type trajectory for entering MR raw data into an electronic memory organized as k-space; operating said MR data acquisition unit in said echo planar MR imaging sequence to acquire said MR raw data representing gradient echoes resulting from said transverse magnetization, while applying said sequence of readout gradient fields and said sequence of phase encoding gradient fields, and entering the acquired MR raw data into k-space along said zigzag-type trajectory; and via a processor having access to said memory, making the MR raw data in k-space available in electronic form as a data file. ### Claim 2 (depends on 1) A method as claimed in claim 1 comprising operating said MR data acquisition unit in said echo planar MR imaging sequence with said sequence of readout gradients and said sequence of phase encoding gradients synchronized in time to give said zigzag-type trajectory substantially linear flanks. ### Claim 3 (depends on 1) A method as claimed in claim 1 comprising: operating said MR data acquisition unit in said echo planar MR imaging sequence to apply said sequence of readout gradient fields configured to have values described by a first time-dependent function; operating said MR data acquisition unit in said echo planar MR imaging sequence to apply said sequence of phase encoding gradient fields configured to have values described by a second time-dependent function that equals an absolute value of said first time-dependent function, multiplied by a scaling factor. ### Claim 4 (depends on 1) A method as claimed in claim 1, comprising: operating said MR data acquisition unit in said echo planar MR imaging sequence with said sequence of readout gradient fields configured to have values described by a sinusoidal-type time-dependent function; and operating said MR data acquisition unit in said echo planar MR imaging sequence with said sequence of phase encoding gradient fields configured to have values described by an absolute value of said sinusoidal-type time-dependent function, multiplied by a scaling factor. ### Claim 5 (depends on 1) A method as claimed in claim 1 comprising operating said MR data acquisition unit in said echo planar MR imaging sequence with at least one of said sequence of readout gradient fields and said sequence of phase encoding gradient fields configured to give a density of data points of said MR raw data along said zigzag-type trajectory periodically varying values. ### Claim 6 (depends on 5) A method as claimed in claim 5 comprising operating said MR data acquisition unit in said echo planar MR imaging sequence with said at least one of said sequence of readout gradients and said sequence of phase encoding gradients configured to give said density higher values for larger distances along a readout direction of k-space, with respect to a center of k-space, than for smaller distances along said readout gradient direction. ### Claim 7 (depends on 1) A method as claimed in claim 1 comprising: operating said MR data acquisition unit in said echo planar MR imaging sequence with said sequence of readout gradient fields and said sequence of phase encoding gradient fields synchronized in time to cause at least one of: maximum values of said phase encoding gradient fields to be coincident with extreme values of said readout gradient fields, and zero crossings of said phase encoding gradient fields to be coincident with zero crossing of said readout gradient fields. ### Claim 8 A method for echo planar magnetic resonance (MR) imaging, comprising: operating an MR data acquisition unit, in which a subject is situated, to acquire MR raw data from the subject in an echo planar MR imaging sequence including, in said echo planar MR imaging sequence, radiating a radio-frequency (RF) pulse that produces a transverse magnetization of nuclear spins in the subject, said transverse magnetization of said nuclear spins exhibiting a phase; operating said MR data acquisition unit in said echo planar MR imaging sequence to also apply a sequence of readout gradient fields configured with alternating positive and negative values, and to apply a sequence of phase encoding gradient fields configured to have only positive values that continuously increase the phase of the transverse magnetization as a function of time, or to have only negative values that continuously decrease the phase of the transverse magnetization as a function of time, wherein applying said sequence of readout gradient fields and applying said sequence of phase encoding gradient fields produces a zigzag-type trajectory for entering MR raw data into an electronic memory organized as k-space; operating said MR data acquisition unit in said echo planar MR imaging sequence to acquire said MR raw data, via multiple receiver coils of said MR data acquisition unit, representing gradient echoes resulting from said transverse magnetization, while applying said sequence of readout gradient fields and said sequence of phase encoding gradient fields, and entering the acquired MR raw data into k-space along said zigzag-type trajectory, said zigzag-type trajectory in k-space exhibiting a first class of flanks that have positive values of said readout gradient fields and a second class of flanks that have negative values of the readout gradient fields; and from a processor, accessing said MR raw data in said electronic memory and applying a parallel MR image reconstruction algorithm to said MR raw data to obtain a data file representing an MR image of the subject, and making said data file available at an output of the processor in electronic form. ### Claim 9 (depends on 8) A method as claimed in claim 8 comprising: in said processor, applying said reconstruction algorithm to said MR raw data in the spatial frequency domain represented by k-space, and reconstructing a plurality of reconstructed data points in said spatial frequency domain from a plurality of data points of said MR raw data in k-space that are situated on neighboring flanks of a same class of said flanks. ### Claim 10 (depends on 9) A method as claimed in claim 9 comprising: reconstructing a reconstructed flank from said plurality of reconstructed data points, said reconstructed flank belonging to the same class as the flanks in which said plurality of MR raw data points are situated in k-space. ### Claim 11 (depends on 9) A method as claimed in claim 9 comprising, in said processor, executing said reconstruction algorithm using at least one reconstruction kernel having a predetermined dimension in k-space. ### Claim 12 (depends on 11) A method as claimed in claim 11 comprising determining said at least one reconstruction kernel by: operating said MR data acquisition unit, in which said subject is situated, in a calibration sequence; operating said MR data acquisition unit in said calibration sequence to radiate a calibration sequence RF pulse that gives said nuclear spins in said subject a transverse magnetization, said transverse magnetization exhibiting a phase; operating said MR data acquisition unit in said calibration sequence to apply a sequence of calibration readout gradient fields configured to have alternating positive and negative values, and to apply a sequence of calibration phase encoding gradient fields configured to have only positive values that continuously increment the phase of the transverse magnetization as a function of time, or only negative values that continuously decrement said phase of said transverse magnetization as a function of time; operating said MR data acquisition unit in said calibration sequence with said sequence of calibration readout gradient fields and said sequence of calibration phase encoding gradient fields configured to obtain a first zigzag-type calibration trajectory for entering raw MR calibration data into an electronic memory organized as k-space, and to obtain a second zigzag-type calibration trajectory for entering said raw MR calibration data into k-space, said first zigzag-type calibration trajectory and said second zigzag-type calibration trajectory each consisting of a first class of flanks having positive values of the calibration readout gradient fields and a second class of flanks having negative values of said calibration readout gradient fields, with an inclination of the flanks produced by said sequence of calibration readout gradient fields and said sequence of calibration phase encoding gradient fields equaling an inclination of the flanks produced by said sequence of readout gradient fields and said sequence of said phase encoding gradient fields; operating said MR data acquisition unit in said calibration sequence to acquire said raw MR calibration data representing calibration gradient echoes produced by said transverse magnetization during said sequence of calibration readout gradient fields and said sequence of calibration phase encoding gradient fields, and entering said raw MR calibration data into k-space along said first zigzag-type calibration trajectory and along said second zigzag-type calibration trajectory; and in said processor, calculating said at least one reconstruction kernel from raw MR calibration data points situated on neighboring parallel flanks of said first and second zigzag-type calibration trajectories. ### Claim 13 (depends on 12) A method as claimed in claim 12 comprising: entering said raw MR calibration data into k-space along said first and second zigzag-type calibration trajectories to cause a first flank of said first zigzag-type calibration trajectory and a second flank of said second zigzag-type calibration trajectory, which are neighboring in the spatial frequency domain represented by k-space and that proceed parallel to each other in k-space, to both contain data points acquired with positive values or negative values of said calibration readout gradient fields. ### Claim 14 (depends on 9) A method as claimed in claim 9 comprising using a Cartesian Generalized Autocalibrating Partially Parallel Acquisition (GRAPPA) reconstruction algorithm as said parallel MR imaging reconstruction algorithm. ### Claim 15 (depends on 8) A method as claimed in claim 8 comprising, in said processor prior to executing said reconstruction algorithm, transforming data points of said MR raw data from the spatial frequency domain represented by k-space into the image domain by at least one of interlaced Fourier transformation, re-g ridding of data points to a regular Cartesian grid in the spatial frequency domain, and bunched phase encoding. ### Claim 16 A magnetic resonance (MR) apparatus, comprising: an MR data acquisition unit comprising at least one radio-frequency (RF) transmission coil, a gradient system, and at least one RF reception coil; a control unit configured to operate the MR data acquisition unit, while a subject is situated therein, to acquire MR raw data from the subject in an echo planar MR imaging sequence including, in said echo planar MR imaging sequence, radiating from at least one RF pulse transmission coil that produces a transverse magnetization of nuclear spins in the subject, said transverse magnetization of said nuclear spins exhibiting a phase; said control unit being configured to operate said MR data acquisition unit in said echo planar MR imaging sequence to also apply, from said gradient system, a sequence of readout gradient fields configured with alternating positive and negative values, and to apply a sequence of phase encoding gradient fields configured to have only positive values that vary as a function of time to continuously increase the phase of the transverse magnetization as a function of time, or to have only negative values that vary as a function of time to continuously decrease the phase of the transverse magnetization as a function of time, wherein applying said sequence of readout gradient fields and applying said sequence of phase encoding gradient fields produces a zigzag-type trajectory for entering MR raw data into an electronic memory organized as k-space; said control unit being configured to operate said MR data acquisition unit in said echo planar MR imaging sequence to acquire, with said at least one RF reception coil, said MR raw data representing gradient echoes resulting from said transverse magnetization, while applying said sequence of readout gradient fields and said sequence of phase encoding gradient fields, and entering the acquired MR raw data into k-space along said zigzag-type trajectory; and a processor configured to access to said memory and make the MR raw data in k-space available in electronic form as a data file. ### Claim 17 A magnetic resonance (MR) apparatus, comprising: an MR data acquisition unit comprising at least one radio-frequency (RF) transmission coil, a gradient system, and multiple RF reception coils; a control unit being configured to operate the MR data acquisition unit, while a subject is situated therein, to acquire MR raw data from the subject in an echo planar MR imaging sequence including, in said echo planar MR imaging sequence, radiating an RF pulse from said at least one RF transmission coil that produces a transverse magnetization of nuclear spins in the subject, said transverse magnetization of said nuclear spins exhibiting a phase; said control unit being configured to operate said MR data acquisition unit in said echo planar MR imaging sequence to also apply, from said gradient system, a sequence of readout gradient fields configured with alternating positive and negative values, and to apply a sequence of phase encoding gradient fields configured to have only positive values that continuously increase the phase of the transverse magnetization as a function of time, or to have only negative values that continuously decrease the phase of the transverse magnetization as a function of time, wherein applying said sequence of readout gradient fields and applying said sequence of phase encoding gradient fields produces a zigzag-type trajectory for entering MR raw data into an electronic memory organized as k-space; said control unit being configured to operate said MR data acquisition unit in said echo planar MR imaging sequence to acquire said MR raw data, via said multiple receiver coils of said MR data acquisition unit, representing gradient echoes resulting from said transverse magnetization, while applying said sequence of readout gradient fields and said sequence of phase encoding gradient fields, and entering the acquired MR raw data into k-space along said zigzag-type trajectory, said zigzag-type trajectory in k-space exhibiting a first class of flanks that have positive values of said readout gradient fields and a second class of flanks that have negative values of the readout gradient fields; and a processor configured to access said MR raw data in said electronic memory and apply a parallel MR image reconstruction algorithm to said MR raw data to obtain a data file representing an MR image of the subject, and to make said data file available at an output of the processor in electronic form.