Maurer-Cartan Forms for Fields on Surfaces: Application to Heart Fiber Geometry


We study the area of 1st order models of sleek frame fields using the strategy of moving frames. By exploiting the Maurer-Cartan matrix of affiliation forms we have a tendency to develop geometrical embeddings for frame fields that lie on spherical, ellipsoidal and generalized helicoid surfaces. We style methods for optimizing association forms in local neighborhoods and apply these to a statistical analysis of heart fiber geometry, using diffusion magnetic resonance imaging. This application of moving frames corroborates and extends recent characterizations of muscle fiber orientation in the guts wall, but conjointly provides for a wealthy geometrical interpretation. In particular, we have a tendency to will now acquire direct local measurements of the variation of the helix and transverse angles, of fiber fanning and twisting, and of the curvatures of the heart wall in that these fibers lie.

Did you like this research project?

To get this research project Guidelines, Training and Code... Click Here

PROJECT TITLE : Multi-Core Embedded Wireless Sensor Networks Architecture and Applications - 2014 ABSTRACT: Technological advancements in the silicon industry, as predicted by Moore's law, have enabled integration of billions
PROJECT TITLE :Ranking on Data Manifold with Sink Points - 2013ABSTRACT:Ranking is an important problem in various applications, such as Information Retrieval (IR), natural language processing, computational biology, and social

Ready to Complete Your Academic MTech Project Work In Affordable Price ?

Project Enquiry