# US 10,120,048 B2 · Systems and methods for efficient radial magnetic resonance imaging with azimuthal equidistant projections

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- Number: US 10,120,048 B2
- Document ID: US10120048B2
- Status: Granted
- Kind: B2
- Application number: 14/788,266
- Filed: 2015-06-30
- Published: 2016-01-28
- Granted: 2018-11-06
- Earliest claimed: 2014-07-28
- Assignees: Northshore University Healthsystem
- Applicants: Northshore University HealthSystem
- Inventors: Ioannis Koktzoglou; Shivraman Giri; Robert R. Edelman
- Web page: https://patentgrep.com/patent/US10120048B2

## CPC

- G01R 33/4824: {using a non-Cartesian trajectory}
- G01R 33/56518: {due to eddy currents, e.g. caused by switching of the gradient magnetic field}
- G01R: MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES (indicating correct tuning of resonant circuits H03J3/12)

## Abstract

Systems and methods for designing a data acquisition scheme to be used in magnetic resonance imaging (“MRI”) are provided. In particular, the systems and methods include designing efficient, or otherwise optimized, azimuthal equidistant projections for radially sampling k-space. This sampling pattern resulting from this data acquisition scheme minimizes image artifacts, including those attributable to eddy currents. The data acquisition scheme can be computed rapidly and automatically and, thus, is fit for routine use in clinical MRI systems.

## Claims

### Claim 1

A method for producing an image of a subject using a magnetic resonance imaging (MRI) system, the steps of the method comprising:
(a) acquiring data from a subject by directing an MRI system to perform a pulse sequence that samples k-space along a series of projections, wherein successive projections in the series of projections that span in multiple cycles are spaced apart by an azimuthal increment angle and are computed to change in each cycle as a combination of a baseline increment angle and an angular multiplier to substantially uniformly distribute the series of projections in the multiple cycles across k-space while minimizing image artifacts;
(b) reconstructing at least one image of the subject from the acquired k-space data; and
wherein step (a) includes computing the azimuthal increment angle to minimize the image artifacts associated with eddy currents generated by magnetic field gradients.

### Claim 2 (depends on 1)

The method as recited in claim 1, wherein step (a) includes computing the azimuthal increment angle to also minimize streak artifacts.

### Claim 3 (depends on 1)

The method as recited in claim 1, wherein step (a) includes retrieving previously computed azimuthal increment angle values from a stored database of azimuthal increment angle values.

### Claim 4

A method for producing an image of a subject using a magnetic resonance imaging (MRI) system, the steps of the method comprising:
(a) acquiring data from a subject by directing an MRI system to perform a pulse sequence that samples k-space along a series of projections, wherein successive projections in the series of projections that span in multiple cycles are spaced apart by an azimuthal increment angle and are computed to change in each cycle as a combination of a baseline increment angle and an angular multiplier to substantially uniformly distribute the series of projections in the multiple cycles across k-space while minimizing image artifacts;
(b) reconstructing at least one image of the subject from the acquired k-space data.

### Claim 5 (depends on 4)

The method as recited in claim 4, wherein computing the angular multiplier includes computing the angular multiplier as an integer value ranging from 2 to N−1, wherein N is a number of projections in the series of projections.

### Claim 6 (depends on 5)

The method as recited in claim 5, wherein the angular multiplier is computed as an integer that does not share an integer factor with N, wherein the integer factor is greater than one.

### Claim 7 (depends on 4)

The method as recited in claim 4, wherein computing the angular multiplier includes performing numerical simulations over a range of integer and fractional values of the angular multiplier m to determine an angular multiplier that produces a series of projections that are substantially equidistant and non-overlapping.

### Claim 8

A magnetic resonance imaging (MRI) system, comprising:
a magnet system configured to generate a static magnetic field about at least a portion of a subject arranged in the MRI system;
a gradient system configured to establish at least one magnetic gradient field with respect to the static magnetic field;
a radio frequency (RF) system configured to deliver excitation pulses to the subject and acquire imaging data from the subject;
a computer system programmed to:
acquire the data from the subject by directing the gradient system and the RF system to perform a pulse sequence that samples k-space along a series of projections that span in multiple cycles, wherein successive projections in the series of projections that span in the multiple cycles are spaced apart by an azimuthal increment angle and are computed to change in each cycle as a combination of a baseline increment angle and an angular multiplier to substantially uniformly distribute the series of projections that span in the multiple cycles across k-space while minimizing image artifacts, wherein he azimuthal increment angle is computed as a combination of a baseline increment angle and an angular multiplier; and
reconstruct at least one image of the subject from the acquired k-space data.

### Claim 9 (depends on 8)

The system as recited in claim 8, wherein the computer system is further programmed to compute the azimuthal increment angle to control image artifacts associated with eddy currents caused by magnetic fields generated by the gradient system.

### Claim 10 (depends on 8)

The system as recited in claim 8, wherein the computer system is further programmed to compute the azimuthal increment angle to control streak artifacts.

### Claim 11 (depends on 8)

The system as recited in claim 8, wherein the computer system is further programmed to compute the angular multiplier as an integer value ranging from 2 to N−1, wherein N is a number of projections in the series of projections.

### Claim 12 (depends on 11)

The system as recited in claim 11, wherein the computer system is further programmed to compute the angular multiplier as an integer that does not share an integer factor with N, wherein the integer factor is greater than one.

### Claim 13 (depends on 8)

The system as recited in claim 8, wherein the computer system is further programmed to perform numerical simulations over a range of integer and fractional values of the angular multiplier m to determine an angular multiplier that produces a series of projections that are substantially equidistant and non-overlapping.

### Claim 14 (depends on 8)

The system as recited in claim 8, wherein the computer system is further programmed to retrieve previously-computed azimuthal increment angle values from a stored database of azimuthal increment angle values.

### Claim 15 (depends on 8)

The system as recited in claim 8, further comprising a display configured to display the at least one image of the subject from the acquired k-space data.