Cartan Frame Analysis of Hearts with Infarcts

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10124)


Muscle fibers in healthy hearts follow a regular geometry, with streamlines that lie along close to parallel helical curves. This regularity is disrupted in the presence of myocardial infarction which results in a loss of contractile function due to the necrosis of myocytes and the build up of collagen. However, intermediate situations also exist with partly functional surrounding border zones. The precise manner in which fiber geometry is remodeled following the occurrence of an infarct is not known. Here we demonstrate the promise of Cartan frame fitting to diffusion magnetic resonance images of the heart to address this question. We use the error of fit of these models to the first principal eigen vector of the diffusion tensor to capture the degree of local fiber coherence. The first study of its kind in application to myocardial infarction, our experiments on porcine hearts reveal measures to assess damage that are complementary to existing scalar ones, such as the apparent diffusion coefficient or the fractional anisotropy. Cartan frame fitting provides valuable additional information about local fiber geometry.


Apparent Diffusion Coefficient Fractional Anisotropy Fiber Orientation Heart Wall Frame Field 
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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Computer Science and Centre for Intelligent MachinesMcGill UniversityQuebecCanada
  2. 2.Department of Medical Biophysics, Sunnybrook Research InstituteUniversity of TorontoTorontoCanada

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