Time-dependent parametric surface models of the human heart

Abstract

A method is presented for generating a time-dependent parametric surface. The application on which this paper concentrates is that of producing a parametric surface description of the surfaces of the left and right ventricles of the human heart. The model is generatedfrom two-dimensional section data obtained from MRI images of the heart. The method views su$ace generation as a boundary-valueproblem and produces surfaces as the solutions to elliptic partialdifferential equations. Shape parameters controlling the geometry of the surjace model are introduced through the boundary conditions on the solution of the partial differential equation. These parameters are functions of time, and the suflace model can be used to produce an animation of the heart during the cardiac cycle.Keywords: 3D cardiac image analysis, ventricle shape and motion analysis and visualization, deformable model, PDE Method.

Surface Modeling Using Partial Differential Equations: A Survey

“…After that, PDE surface patches were used to create a submarine model [19], an engine inlet port [12], the geometry of an aircraft [28], 2-stroke engine models [39], wing geometries [29], human heart models [40,41], and fluid membranes and vesicles [20].…”

Interactive Surface Design and Manipulation Using PDE-Method through Autodesk Maya Plug-in

“…Previous work using the PDE method has shown how generating complex-geometric shapes based on PDE method appeared to be powerful technique; examples include complex objects such as marine propeller [9], ship hulls [10] and aircraft [11]. In addition, graphical objects construction and efficient parameterization with relatively small number of design parameters was demonstrated using the PDE method in various publications [7], [12], [13], [14], [15]. For example Ugail et.…”