Maurer-Cartan Forms for Fields on Surfaces: Application to Heart Fiber Geometry

Autor: Jon Sporring, Emmanuel Piuze, Kaleem Siddiqi

Publikováno v: IEEE Transactions on Pattern Analysis and Machine Intelligence. 37:2492-2504

We study the space of first order models of smooth frame fields using the method of moving frames. By exploiting the Maurer-Cartan matrix of connection forms we develop geometrical embeddings for frame fields which lie on spherical, ellipsoidal and g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdd775394a0d25c4b1c6de11d189cdd8
https://doi.org/10.1109/tpami.2015.2408352

Moving Frames for Heart Fiber Reconstruction

Autor: Emmanuel, Piuze, Jon, Sporring, Kaleem, Siddiqi

Publikováno v: Information processing in medical imaging : proceedings of the ... conference. 24

The method of moving frames provides powerful geometrical tools for the analysis of smoothly varying frame fields. However, in the face of missing measurements, a reconstruction problem arises, one that is largely unexplored for 3D frame fields. Here

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=pmid________::2876580d10fe0f72af92ee3802a3b07a
https://pubmed.ncbi.nlm.nih.gov/26221700

Moving frames for heart fiber geometry

Autor: Emmanuel, Piuze, Jon, Sporring, Kaleem, Siddiqi

Publikováno v: Information processing in medical imaging : proceedings of the ... conference. 23

Elongated cardiac muscle cells named cardiomyocytes are densely packed in an intercellular collagen matrix and are aligned to helical segments in a manner which facilitates pumping via alternate contraction and relaxation. Characterizing the geometri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=pmid________::79ff80969a74b1540008cfdf12acc95e
https://pubmed.ncbi.nlm.nih.gov/24683996

Atlases of cardiac fiber differential geometry

Autor: Gustav J. Strijkers, Adrianus J. Bakermans, Kaleem Siddiqi, Emmanuel Piuze, Herve Lombaert, Jon Sporring

Publikováno v: Functional Imaging and Modeling of the Heart-7th International Conference, FIMH 2013, Proceedings, 442-449
STARTPAGE=442;ENDPAGE=449;TITLE=Functional Imaging and Modeling of the Heart-7th International Conference, FIMH 2013, Proceedings
Functional Imaging and Modeling of the Heart ISBN: 9783642388989
FIMH

Studies of intra-species cardiac fiber variability tend to focus on first-order measures such as local fiber orientation. Recent work has shown that myofibers bundle locally into a particular type of minimal surface, the generalized helicoid model (G

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce13b9698346acaece063289c812e992
https://pure.amc.nl/en/publications/atlases-of-cardiac-fiber-differential-geometry(3e4cddbf-3f18-4466-8dab-b87c218a8264).html

Cardiac Fiber Inpainting Using Cartan Forms

Autor: Kaleem Siddiqi, Emmanuel Piuze, Jon Sporring, Herve Lombaert

Publikováno v: Advanced Information Systems Engineering ISBN: 9783642387081
MICCAI (2)

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 d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a2a39672eea1f30975b2170012cfc308
https://doi.org/10.1007/978-3-642-40763-5_63