Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
Shape versus Size: Improved Understanding of the Morphology of Brain Structures
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
An Electro-mechanical Model of the Heart for Cardiac Image Analysis
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Proceedings of the First International Workshop on Functional Imaging and Modeling of the Heart
Surface alignment of 3d spherical harmonic models: application to cardiac MRI analysis
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
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Computer models of the heart have become useful tools inimproving understanding of cardiac electrical activation at thecellular level, and in analyzing mechanisms of arrhythmias andantiarrhythmic therapies. In this paper, we propose to usespherical harmonic (SPHARM) surface reconstruction and alignmentmethods to generate curvilinear meshes for finite element models ofventricular anatomy which incorporate detailed structuralinformation. The endocardial and epicardial surfaces are defined bySPHARM, and the volume between these surfaces is divided intonested shells. Consequently, the resulting mesh compriseshexahedral elements. Using this novel SPHARM-based meshing method,the transmembrane potential propagation is simulated, based onFitzHugh-Nagumo reaction-diffusion equations. The dynamicelectrical activation propagations are simulated on realisticcardiac data during a heart cycle. The obtained results clearlydemonstrate an accurate resolution of the cardiac potential duringthe excitation. Our novel curvilinear mesh models have a greatpotential to be used in an improved simulation of cardiovascularpathologies for testing therapy strategies and planninginterventions.