title: Patient independent representation of the detailed cardiac ventricular anatomy.
abstract: 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.
authors.affiliation: Department of Information and Communication Technologies, Universitat Pompeu Fabra, c. Roc Boronat 138, 08018 Barcelona, Spain. Electronic address: bruno.paun@upf.edu.
authors.forename: Bruno
authors.initials: B
authors.lastname: Paun
authors.affiliation: Department of Information and Communication Technologies, Universitat Pompeu Fabra, c. Roc Boronat 138, 08018 Barcelona, Spain; ICREA, Passeig Lluís Companys 23, 08010 Barcelona, Spain; KU Leuven, Oude Markt 13, 3000 Leuven, Belgium.
authors.forename: Bart
authors.initials: B
authors.lastname: Bijnens
authors.affiliation: Visible Heart(®) Laboratory, Department of Surgery, University of Minnesota, Minneapolis, Minnesota, USA.
authors.forename: Tinen
authors.initials: T
authors.lastname: Iles
authors.affiliation: Visible Heart(®) Laboratory, Department of Surgery, University of Minnesota, Minneapolis, Minnesota, USA.
authors.forename: Paul A
authors.initials: PA
authors.lastname: Iaizzo
authors.affiliation: Department of Information and Communication Technologies, Universitat Pompeu Fabra, c. Roc Boronat 138, 08018 Barcelona, Spain.
authors.forename: Constantine
authors.initials: C
authors.lastname: Butakoff
mesh_terms: D000465:Algorithms; D006352:Heart Ventricles / Q000033:anatomy & histology* / Q000000981:diagnostic imaging*; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods
keywords: Cardiac coordinate system; Cardiac trabeculations; Conformal mapping; Heart representation; Parameterization; Surface flattening