introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

Aim: This paper focus is to describe and evaluate the authors' personal technique for a simplified transpalpebral eyebrow lift. Methods: We performed surgery in 179 patients (95% females and 5% males) between years of 2008 and 2009. Initially, a thorough assessment of brow stability and symmetry was performed. To achieve desirable aesthetic we agreed upon the consensus that the eyebrow lateral ...

Considering pseudo-Riemannian $g$-natural metrics on tangent bundles, we prove that the condition of being Ricci soliton is hereditary in sense a structure bundle gives rise to base manifold. Restricting ourselves some class metrics, show if and only manifold flat potential vector field complete lift conformal field. We give then classification fields Riemannian When unit bundles over constant ...

Following Lawvere, a generalized metric space (gms) is a set X equipped with a metric map from X to the interval of upper reals (approximated from above but not from below) from 0 to ∞ inclusive, and satisfying the zero self-distance law and the triangle inequality. We describe a completion of gms’s by Cauchy filters of formal balls. In terms of Lawvere’s approach using categories enriched over...

background and aim:  although there have been substantial developments in dental implant therapies, achieving good implant stability (isq >60) for implants inserted in augmented sinus sites appears to be challenging in comparison with non-augmented sites due to the high prevalence of bone resorption in posterior regions of maxilla. this study aimed to evaluate and compare the time required to a...

For a compact riemannian manifold of negative curvature, the geodesic foliation of its unit tangent bundle is independent of the negatively curved metric, up to Hölder bicontinuous homeomorphism. However, the riemannian metric defines a natural transverse measure to this foliation, the Liouville transverse measure, which does depend on the metric. For a surface S, we show that the map which to ...

For a century, researchers have used the standard lift coefficient C(L) to evaluate the lift, L, generated by fixed wings over an area S against dynamic pressure, ½ρv(2), where v is the effective velocity of the wing. Because the lift coefficient was developed initially for fixed wings in steady flow, its application to other lifting systems requires either simplifying assumptions or complex ad...

We define a novel metric on the space of closed planar curves which decomposes into three intuitive components. According to this metric centroid translations, scale changes and deformations are orthogonal, and the metric is also invariant with respect to reparameterizations of the curve. While earlier related Sobolev metrics for curves exhibit some general similarities to the novel metric prop...