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Chapter and Conference Paper
Estimating Sheets in the Heart Wall
Models of sheets in the heart wall play an important role in the visualization of myofiber geometry, in modelling mechanics and in cardiac electrophysiology. For example, the assumption of distinct speeds of p...
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Chapter and Conference Paper
Minimizing Non-holonomicity: Finding Sheets in Fibrous Structures
Oriented elements compose fibrous structures in biological tissue, and their geometry plays an important role in organ function. In the heart, for example, myocytes are stacked end on end in a particular fashi...
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Chapter and Conference Paper
Local Spectral Graph Convolution for Point Set Feature Learning
Feature learning on point clouds has shown great promise, with the introduction of effective and generalizable deep learning frameworks such as pointnet++. Thus far, however, point features have been abstracte...
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Chapter and Conference Paper
Cartan Frames for Heart Wall Fiber Motion
Current understanding of heart wall fiber geometry is based on ex vivo static data obtained through diffusion imaging or histology. Thus, little is known about the manner in which fibers rotate as the heart be...
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Chapter and Conference Paper
Denoising Moving Heart Wall Fibers Using Cartan Frames
Current denoising methods for diffusion weighted images can obtain high quality estimates of local fiber orientation in static structures. However, recovering reliable fiber orientation from in vivo data is co...
