Publications
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3D Harmonic Mapping and Tetrahedral Meshing of Brain Imaging Data
Source: 2004;.
Author: Wang YL, Gu X, Thompson PM, Yau ST.
Abstract:
We developed two techniques to address 3D volume parame- terization and deformation mapping problems that arise in medical imag- ing [1]. The ¯rst algorithm ¯nds a harmonic map from a 3-manifold to a 3D solid sphere and the second is a novel sphere carving algorithm which calculates the simplicial decomposition of a complex 3D image volume while preserving its surface topology. In this paper, we apply these two techniques to brain mapping problems. We use a tetrahedral ¯nite el- ement mesh (FEM) to reconstruct the brain volume from a sequence of magnetic resonance images (MRI). A heat °ow method is used to solve the volumetric harmonic mapping problem. Experimental results on both synthetic and brain volume data are reported. We suggest that 3D harmonic mapping of brain volumes to a solid sphere may provide a canonical coordinate system for feature identi¯cation and segmentation, as well as anatomical normalization and nonlinear image registration.
Source: 2004;.
Author: Wang YL, Gu X, Thompson PM, Yau ST.
Abstract:
We developed two techniques to address 3D volume parame- terization and deformation mapping problems that arise in medical imag- ing [1]. The ¯rst algorithm ¯nds a harmonic map from a 3-manifold to a 3D solid sphere and the second is a novel sphere carving algorithm which calculates the simplicial decomposition of a complex 3D image volume while preserving its surface topology. In this paper, we apply these two techniques to brain mapping problems. We use a tetrahedral ¯nite el- ement mesh (FEM) to reconstruct the brain volume from a sequence of magnetic resonance images (MRI). A heat °ow method is used to solve the volumetric harmonic mapping problem. Experimental results on both synthetic and brain volume data are reported. We suggest that 3D harmonic mapping of brain volumes to a solid sphere may provide a canonical coordinate system for feature identi¯cation and segmentation, as well as anatomical normalization and nonlinear image registration.