Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Computational modeling of arterial biomechanics
Computing in Science and Engineering
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
Real-Time Motion Estimation and Visualization on Graphics Cards
VIS '04 Proceedings of the conference on Visualization '04
ImaGiNe Seldinger: First simulator for Seldinger technique and angiography training
Computer Methods and Programs in Biomedicine
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A novel approach to correct flow data from phase contrast angiography (PCA) is presented. The method is based on combining computational fluid dynamics (CFD) and segmentation in a level set framework. The PCA-MRI velocity data is used in a partial differential equation (PDE) based level set method for vessel segmentation, and a second level set equation solving for a physically meaningful flow. The second level set is implemented using the ghost fluid method, where the MR data defines initial and boundary conditions. The segmentation and CFD systems are simultaneously integrated to provide a robust method yielding a physically correct velocity and optimal vessel geometry. The application of this system to both synthetic and clinical data is demonstrated and its validity is discussed.