Abstract: Systems and methods for graph total variation (GTV) based reconstruction of electrical potentials on a cardiac surface are disclosed. GTV-based systems and methods incorporate information about the graph structure of the heart surface as well as imposing sparsity constraints on neighboring nodes. To this end, the present disclosure uses a novel way of calculating derivatives on irregular meshes, and provides a fast solver to compute an inverse solution more efficiently than in previous systems and methods. Moreover, fast-changing signals can be recovered with less smoothing and thus greater fidelity to the original signals.

Abstract: Systems and methods for graph total variation (GTV) based reconstruction of electrical potentials on a cardiac surface are disclosed. GTV-based systems and methods incorporate information about the graph structure of the heart surface as well as imposing sparsity constraints on neighboring nodes. To this end, the present disclosure uses a novel way of calculating derivatives on irregular meshes, and provides a fast solver to compute an inverse solution more efficiently than in previous systems and methods. Moreover, fast-changing signals can be recovered with less smoothing and thus greater fidelity to the original signals.

Abstract: The present invention discloses a nanophase carbon black grafted with organic compounds, comprising (a) a first component: 100 parts by weight of original carbon black particles, and (b) a second component: 5-300 parts by weight of grafting organic compounds having or producing free radicals which is grafted onto the surface of the carbon black, wherein the molecular weight of the grafting organic compounds is 100-10000, and the nanophase carbon black has a particle size of 1-100 nm. The invention also discloses the synthesis thereof and articles therefrom.

Abstract: Segmentation of White Matter Fiber Tract in DT-MRI images is achieved by using level sets methods including a method which will increase the speed and quality of the surface evolvement. A method system representing a measure of coincidence of the tensor field with the normal of the surface front to increase the speed and quality of a level set method in DT-MRI is disclosed.

Abstract: The present invention discloses a nanophase carbon black grafted with organic compounds, comprising (a) a first component: 100 parts by weight of original carbon black particles, and (b) a second component: 5-300 parts by weight of grafting organic compounds having or producing free radicals which is grafted onto the surface of the carbon black, wherein the molecular weight of the grafting organic compounds is 100-10000, and the nanophase carbon black has a particle size of 1-100 nm. The invention also discloses the synthesis thereof and articles therefrom.

Abstract: Segmentation of White Matter Fiber Tract in DT-MRI images is achieved by using level sets methods including a method which will increase the speed and quality of the surface evolvement. A method system representing a measure of coincidence of the tensor field with the normal of the surface front to increase the speed and quality of a level set method in DT-MRI is disclosed.