System, method and computer accessible medium for noise estimation, noise removal and Gibbs ringing removal

Patent metadata

Field	Value
Publication number	US-10698065-B2
Application number	US-201615574467-A
Country	US
Kind code	B2
Filing date	May 16, 2016
Priority date	May 15, 2015
Publication date	Jun 30, 2020
Grant date	Jun 30, 2020

Abstract

An exemplary system, method and computer-accessible medium for removing noise and Gibbs ringing from a magnetic resonance (“MR”) image(s), can be provided, which can include, for example, receiving information related to the MR image(s), receiving information related to the MR image(s), and removing the Gibbs ringing from the information by extrapolating data in a k-space from the MR image(s) beyond an edge(s) of a measured portion of the k-space. The data can be extrapolated by formatting the data as a regularized minimization problem(s). A first weighted term of the regularized minimization problem(s) can preserve a fidelity of the extrapolated data, and a second weighted term of the regularized minimization problem(s) can be a penalty term that can be based a norm(s) of the MR image(s), which can be presumed to be sparse.

First claim

What is claimed is:

1. A non-transitory computer-accessible medium having stored thereon computer-executable instructions for estimating a noise in at least one first image, wherein, when a computer arrangement executes the instructions, the computer arrangement is configured to perform procedures comprising:
receiving a plurality of second images; and
estimating the noise in the at least one first image based on a principal component analysis (“PCA”) procedure on a subset of the second images.

2. The computer-accessible medium of claim 1 , wherein the computer arrangement estimates the noise level based on a set of eigenvalues resulting from the PCA procedure.

3. The computer-accessible medium of claim 2 , wherein the computer arrangement estimates the noise level based on a noise-only distribution of a subset of the eigenvalues.

4. The computer-accessible medium of claim 3 , wherein the noise-only distribution includes eigenvalues of a PCA Eigen spectrum that is described by a Marchenko-Pastur distribution.

5. The computer-accessible medium of claim 2 , wherein the computer arrangement is further configured to remove the noise from the at least one first image using the set of eigenvalues.

6. The computer-accessible medium of claim 1 , wherein the second images include, at least one of diffusion-weighted magnetic resonance images, or a set of images obtained from different cons or channels in a multichannel magnetic resonance imaging apparatus.

7. The computer-accessible medium of claim 1 , wherein the computer arrangement is further configured to remove the noise from the at least one first image.

8. The computer-accessible medium of claim 7 , wherein the computer arrangement is configured to identify a threshold between only the noise and at least one principal component of the PCA procedure.

9. The computer-accessible medium of claim 8 , wherein the computer arrangement is configured to identify the threshold based on at least one noisy covariance matrix.

10. The computer-accessible medium of claim 9 , wherein the computer arrangement is configured to remove the noise based on the threshold.

11. The computer-accessible medium of claim 10 , wherein the computer arrangement is configured to remove the noise by removing at least one noise-only component of the at least one first image.

12. The computer-accessible medium of claim 7 , wherein the computer arrangement is configured to remove the noise using at least one Marchenko-Pastur distribution.

13. A system for estimating a noise in at least one first image, comprising:
a computer hardware arrangement configured to:
receive a plurality of second images; and
estimate the noise in the at least one first image based on a principal component analysis (“PCA”) procedure on a subset of the second images.

14. A method for estimating a noise in at least one first image, comprising:
receiving a plurality of second images; and
using a computer hardware arrangement, estimating the noise in the at least one first image based on a principal component analysis (“PCA”) procedure on a subset of the second images.

15. A non-transitory computer-accessible medium having stored thereon computer-executable instructions for removing Gibbs ringing from at least one first magnetic resonance (MR) image, wherein, when a computer arrangement executes the instructions, the computer arrangement is configured to perform procedures comprising:
receiving a plurality of second MR images;
estimating the noise in the at least one first image based on a principal component analysis (“PCA”) procedure performed on a subset of the second images; and
removing the Gibbs ringing from the at least one first MR image by extrapolating data in a k-space, based on the noise, from the at least one first MR image beyond at least one edge of a measured portion of the k-space.

Assignees

• Univ New York
• Univ Of Antwerp

Inventors

• Novikov Dmitry
• VERAART Jelle
• Fieremans Els

Classifications

• G06V10/7715

  Feature extraction, e.g. by transforming the feature space, e.g. multi-dimensional scaling [MDS]; Mappings, e.g. subspace methods · CPC title

• G06F18/2135

  based on approximation criteria, e.g. principal component analysis · CPC title

• G06V10/30

  Noise filtering · CPC title

• G06V2201/031

  of internal organs · CPC title

• G01R33/56545 Primary

  caused by finite or discrete sampling, e.g. Gibbs ringing, truncation artefacts, phase aliasing artefacts · CPC title