Introduction Cine phase-contrast flow measurements allow for the non-invasive assessment of blood velocity in the cardiovascular system. Streamline estimation based on three-dimensional velocity vector field data is a common visualization method of blood flow patterns. Velocity encoded phase data are assumed to reflect mean velocity information of voxels superimposed by noise. Partial volume ef...

we derive error estimates in the appropriate norms, for the streamlinediffusion (sd) finite element methods for steady state, energy dependent,fermi equation in three space dimensions. these estimates yield optimal convergencerates due to the maximal available regularity of the exact solution.high order sd method together with implicit integration are used. the formulationis strongly consistent...

We propose a mathematically rigorous method to measure the spontaneous curvature of a bilayer membrane by molecular dynamics (MD) simulation, which provides description of the molecular mechanisms that cause the spontaneous curvature. As a main result, for the membrane setup investigated, the spontaneous curvature is proved to be a constant plus twice the mean curvature of the membrane in its t...

We examine a method of curvature estimation that computes the curvature directly from three dimensional data. We refer to this as the kernel method of curvature estimation and our experiments indicate that several parameters be modified from those originally suggested to achieve more accurate and reliable results. This improved performance is essential for analysis of medical volume data by com...

NI-13. RESOLVING THE CHALLENGES OF PERITUMORAL EDEMA IN TRACING ARCUATE FASCICULUS FOR SURGICAL PLANNING USING TWO-TENSOR UNSCENTED KALMAN FILTER TRACTOGRAPHY Zhenrui Chen1,4, Yanmei Tie1, Lauren O’Donnell1,2, Laura Rigolo1, Alireza Mehrtash1,2, Olutayo Olubiyi1, Isaiah Norton1, Ofer Pasternak3, Yogesh Rathi3, and Alexandra Golby1,2; Department of Neurosurgery, Brigham and Women’s Hospital, Har...

the price of single point diamond tools with a sharp tip is very high due to complex machining process and highly expensive machining equipments. yet, the performance is not quite satisfactory. in this paper, we have presented a very simple and cost effective machining process for the sharpening and polishing of diamond stylus using low energy reactive ion beam machining (ribm). in our method, ...

The index of a metric plays significant roles in differential geometry as it generates variety of vector fields such as space-like, time-like, and light-like fileds. With the help of these vector fields, we establish interesting properties on ( )-Sasakian manifolds, which was introduced by Bejancu and Duggal [1] and further investigated by Xufeng and Xiaoli [2]. Since Sasakian manifolds with in...

The computation of curvature quantities over discrete geometry is often required when processing geometry composed of meshes. Curvature information is often important for the purpose of shape analysis, feature recognition and geometry segmentation. In this paper we present a method for accurate estimation of curvature on discrete geometry especially those composed of meshes. We utilise a method...

In this paper, a computationally simple approach for damage localization and quantification in beam-like structures is proposed. This method is based on using modal flexibility curvature (MFC) and particle swarm optimization (PSO) algorithm. Analytical studies in the literature have shown that changes in the modal flexibility curvature can be considered as a sensitive and suitable criterion for...

Given a compact four dimensional smooth Riemannian manifold (M, g) with smooth boundary, we consider the evolution equation by Q-curvature in the interior keeping the T -curvature and the mean curvature to be zero and the evolution equation by T -curvature at the boundary with the condition that the Q-curvature and the mean curvature vanish. Using integral method, we prove global existence and ...