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A First-Order Lagrangian-based variational approach for 3D flow vector field restoration

A First-Order Lagrangian-based variational approach for 3D flow vector field restoration
A First-Order Lagrangian-based variational approach for 3D flow vector field restoration
The analysis of blood flow patterns provides important insight into the health status of the heart. With the ability to acquire multi-dimensional cine flow data, Magnetic Resonance (MR) velocity imaging is widely used to acquire in vivo flow details. The technique, however, is generally subject to a certain amount of noise and this poses a major problem for automatic quantitative analysis of flow features. To tackle this problem, we propose a First-Order Lagrangian-based method for the restoration of flow vector fields. The restoration scheme is formulated as a constrained optimisation problem and a computational algorithm based on the First-Order Lagrangian method is employed to solve the optimisation problem. The proposed method has been proven to be effective for the restoration of both 2D and 3D datasets. To demonstrate the importance of a restoration step prior to the analysis of blood flow pattern, the proposed method is applied to MR velocity maps acquired from patients with sequential MR examination following myocardial infarction and the result shows that critical points are more readily detected in the restored flow field.
vector field restoration, variational method, lagrangian method
0444513876
1185-1190
Ng, YHP
9eef20e9-9ca9-4701-b393-11e0b0fc3aae
Carmo, BS
927f7105-dcf7-4ac4-8c43-fc3fa2d10273
Prugel-Bennett, A
b107a151-1751-4d8b-b8db-2c395ac4e14e
Yang, GZ
84719be2-bb23-46d9-bec8-46387643a226
Lemke, HU
0617bc41-6df9-4758-8ba8-f9a637ac0fbe
Vannier, MW
21601a63-bbf3-489f-bf9c-208baab54d5d
Inamura, K
20357abb-0123-4325-9c7a-6998949c5dbb
Farman, AG
8778e4b7-0a40-4947-890c-8ec48449e393
Doi, K
a5ac4278-8a49-47da-bd31-62db9b6be4a1
Reiber, JHC
f89884f4-fdd9-4074-96a9-f7fd2e321c32
Ng, YHP
9eef20e9-9ca9-4701-b393-11e0b0fc3aae
Carmo, BS
927f7105-dcf7-4ac4-8c43-fc3fa2d10273
Prugel-Bennett, A
b107a151-1751-4d8b-b8db-2c395ac4e14e
Yang, GZ
84719be2-bb23-46d9-bec8-46387643a226
Lemke, HU
0617bc41-6df9-4758-8ba8-f9a637ac0fbe
Vannier, MW
21601a63-bbf3-489f-bf9c-208baab54d5d
Inamura, K
20357abb-0123-4325-9c7a-6998949c5dbb
Farman, AG
8778e4b7-0a40-4947-890c-8ec48449e393
Doi, K
a5ac4278-8a49-47da-bd31-62db9b6be4a1
Reiber, JHC
f89884f4-fdd9-4074-96a9-f7fd2e321c32

Ng, YHP, Carmo, BS, Prugel-Bennett, A and Yang, GZ (2003) A First-Order Lagrangian-based variational approach for 3D flow vector field restoration. Lemke, HU, Vannier, MW, Inamura, K, Farman, AG, Doi, K and Reiber, JHC (eds.) CARS 2003: COMPUTER ASSISTED RADIOLOGY AND SURGERY. 25 - 28 Jun 2003. pp. 1185-1190 .

Record type: Conference or Workshop Item (Other)

Abstract

The analysis of blood flow patterns provides important insight into the health status of the heart. With the ability to acquire multi-dimensional cine flow data, Magnetic Resonance (MR) velocity imaging is widely used to acquire in vivo flow details. The technique, however, is generally subject to a certain amount of noise and this poses a major problem for automatic quantitative analysis of flow features. To tackle this problem, we propose a First-Order Lagrangian-based method for the restoration of flow vector fields. The restoration scheme is formulated as a constrained optimisation problem and a computational algorithm based on the First-Order Lagrangian method is employed to solve the optimisation problem. The proposed method has been proven to be effective for the restoration of both 2D and 3D datasets. To demonstrate the importance of a restoration step prior to the analysis of blood flow pattern, the proposed method is applied to MR velocity maps acquired from patients with sequential MR examination following myocardial infarction and the result shows that critical points are more readily detected in the restored flow field.

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More information

Published date: 2003
Additional Information: Event Dates: June 25-28, 2003
Venue - Dates: CARS 2003: COMPUTER ASSISTED RADIOLOGY AND SURGERY, 2003-06-25 - 2003-06-28
Keywords: vector field restoration, variational method, lagrangian method
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 258818
URI: http://eprints.soton.ac.uk/id/eprint/258818
ISBN: 0444513876
PURE UUID: a17c5037-a7bb-4e34-9af3-8f2b15d8a66a

Catalogue record

Date deposited: 29 Jan 2004
Last modified: 16 Jul 2019 22:54

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