Cardiac fiber inpainting using cartan forms

TY - GEN

T1 - Cardiac fiber inpainting using cartan forms

AU - Piuze, Emmanuel

AU - Lombaert, Herve

AU - Sporring, Jon

AU - Siddiqi, Kaleem

N1 - Conference code: 16

PY - 2013

Y1 - 2013

N2 - Recent progress in diffusion imaging has lead to in-vivo acquisitions of fiber orientation data in the beating heart. Current methods are however limited in resolution to a few short-axis slices. For this particular application and others where the diffusion volume is subsampled, partial or even damaged, the reconstruction of a complete volume can be challenging. To address this problem, we present two complementary methods for fiber reconstruction from sparse orientation measurements, both of which derive from second-order properties related to fiber curvature as described by Maurer-Cartan connection forms. The first is an extrinsic partial volume reconstruction method based on principal component analysis of the connection forms and is best put to use when dealing with highly damaged or sparse data. The second is an intrinsic method based on curvilinear interpolation of the connection forms on ellipsoidal shells and is advantageous when more slice data becomes available. Using a database of 8 cardiac rat diffusion tensor images we demonstrate that both methods are able to reconstruct complete volumes to good accuracy and lead to low reconstruction errors.

AB - Recent progress in diffusion imaging has lead to in-vivo acquisitions of fiber orientation data in the beating heart. Current methods are however limited in resolution to a few short-axis slices. For this particular application and others where the diffusion volume is subsampled, partial or even damaged, the reconstruction of a complete volume can be challenging. To address this problem, we present two complementary methods for fiber reconstruction from sparse orientation measurements, both of which derive from second-order properties related to fiber curvature as described by Maurer-Cartan connection forms. The first is an extrinsic partial volume reconstruction method based on principal component analysis of the connection forms and is best put to use when dealing with highly damaged or sparse data. The second is an intrinsic method based on curvilinear interpolation of the connection forms on ellipsoidal shells and is advantageous when more slice data becomes available. Using a database of 8 cardiac rat diffusion tensor images we demonstrate that both methods are able to reconstruct complete volumes to good accuracy and lead to low reconstruction errors.

U2 - 10.1007/978-3-642-40763-5_63

DO - 10.1007/978-3-642-40763-5_63

M3 - Article in proceedings

SN - 978-3-642-40762-8

T3 - Lecture notes in computer science

SP - 509

EP - 517

BT - Medical Image Computing and Computer-Assisted Intervention – MICCAI 2013

A2 - Moru, Kensaku

A2 - Sakuma, Ichiro

A2 - Sato, Yoshinobu

A2 - Barillot, Christian

A2 - Navab, Nassir

PB - Springer

T2 - 16th International Conference on Medical Image Computing and Computer-Assisted Intervention

Y2 - 22 September 2013 through 26 September 2013

ER -