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Utah NAMIC EAB 2007. Rician Noise and Tensor Estimation. Tensor bias from Rician noise. Utah. Tensor Estimation. ML/MAP tensor estimates Filtering on DW with simultaneous estimates of tensors Complex vs magnitude averaging/estimation Basu et al., MICCAI 2006. Utah.
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Rician Noise and Tensor Estimation • Tensor bias from Rician noise Utah
Tensor Estimation • ML/MAP tensor estimates • Filtering on DW with simultaneous estimates of tensors • Complex vs magnitude averaging/estimation • Basu et al., MICCAI 2006 Utah
Volumetric Connectivity • Define paths between ROIs • Analyze circuits (cortex, subcortex) • Work entirely on the grid • Quantify point-wise evidence for connection Utah
Distance along tract Define 3D Paths from ROIs FA FA Utah
Particle Shape Correspondence Utah, UNC, Harvard PNL • No explicit parameterization • Wider class of shapes, no topological constraints • Information theory regularization • Reduced free parameters • Compares favorably against MDL in 2D • Simple examples
Particle 3D Correspondence • Works well in 3D • Adaptive distribution of surface points • Work in progress on caudates Surface sampling with a max entropy particle system
Software • Segmentation • ITK/NAMIC sandbox of brain tissue classification based on entropy of nonparametric statistics (Tasdizen et al., MICCAI 2005) • DTI • MAP smoothing in ITK (Basu et al., MICCAI 2006) • Integration of module into Slicer3 • Shape • ITK implementation of particle system for shape correspondence
Publications • DTI • Fletcher PT, Joshi S. Riemannian Geometry for the Statistical Analysis of Diffusion Tensor Data. Signal Processing, 2006. (To appear). • Corouge I, Fletcher PT, Sarang J, Gouttard S, Gerig G. Fiber Tract-Oriented Statistics for Quantitative Diffusion Tensor MRI Analysis. MedIA (To appear) • Basu S, Fletcher PT, Whitaker RT. Rician Noise Removal in Diffusion Tensor MRI, MICCAI'06. • Corouge I, Fletcher PT, Joshi S, Gilmore JH, Gerig G. Fiber Tract-Oriented Statistics for Quantitative Diffusion Tensor MRI Analysis. MICCAI, 2005 • Shape • Fletcher PT, Whitaker RT. Riemannian Metrics on the Space of Solid Shapes. MICCAI'06 Workshop on Mathematical Foundations of Computational Anatomy (MFCA). • Cates J, Meyer M, Fletcher PT, Whitaker R. Entropy-Based Particle Systems for Shape Correspondence. MICCAI'06 Workshop on Mathematical Foundations of Computational Anatomy (MFCA).