Journal
MEDICAL IMAGE ANALYSIS
Volume 35, Issue -, Pages 270-287Publisher
ELSEVIER
DOI: 10.1016/j.media.2016.07.006
Keywords
Parameterization; Heart representation; Cardiac coordinate system; Surface flattening; Cardiac trabeculations; Conformal mapping
Categories
Funding
- grant FI-DGR from the Generalitat de Catalunya [2014 FI B01238]
- EU [611823]
- Spanish Ministry of Economy and Competitiveness [TIN2011-28067, TIN2014-52923-R, MDM-2015-0502]
- FEDER
- ICREA Funding Source: Custom
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Reparameterization of surfaces is a widely used tool in computer graphics known mostly from the remeshing algorithms. Recently, the surface reparameterization techniques started to gain popularity in the field of medical imaging, but mostly for convenient 2D visualization of the information initially represented on 3D surfaces (e.g. continuous bulls-eye plot). However, by consistently mapping the 3D information to the same 2D domain, surface reparameterization techniques allow us to put into correspondence anatomical shapes of inherently different geometry. In this paper, we propose a method for anatomical parameterization of cardiac ventricular anatomies that include myocardium, trabeculations, tendons and papillary muscles. The proposed method utilizes a quasi-conformal flattening of the myocardial surfaces of the left and right cardiac ventricles and extending it to cover the interior of the cavities using the local coordinates given by the solution of the Laplace's equation. Subsequently, we define a geometry independent representation for the detailed cardiac left and right ventricular anatomies that can be used for convenient visualization and statistical analysis of the trabeculations in a population. Lastly we show how it can be used for mapping the detailed cardiac anatomy between different hearts, which is of considerable interest for detailed cardiac computational models or shape atlases. (C) 2016 Elsevier B.V. All rights reserved.
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