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Laplace-Dirichlet Rule-Based fiber and sheet generation.

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\nAuthor:\ \ Jason Bayer jason.bayer@ihu-liryc.fr\n<div id=\"tutorial_laplace-dirichlet-fibers\"\

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This tutorial demonstrates how to generate cardiac fiber and sheet orientation\ \ in biventricular models using the rule-based approach by<a href=\"#fn1\" class=\"\ footnote-ref\" id=\"fnref1\" role=\"doc-noteref\">¹.

\n\n\ <h2 id=\"introduction\">Introduction\n

We developed a robust Laplace-Dirichlet\ \ Rule-Based algorithm for incorporating myocardial fiber orientation into computer\ \ models of biventricular geometries with speed, precision, and high usability.\ \ This tutorial demonstrates how to use the implementation of Bayer et al with CARP\ \ and its utilities.

\n<h2 id=\"problem-setup\">Problem setup\n<h2 id=\"\ ventricular-fiber-and-sheet-orientation-rules\">Ventricular fiber and sheet orientation\ \ rules\n

In mammalian ventricles, the following rules for cardiac fiber\ \ orientation apply as derived from histological and diffusion-tensor imaging.

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R1. The longitudinal fiber direction in the ventricular walls is parallel to\ \ the endocardial and epicardial surfaces.

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