PURPOSE To model incisional axis and perpendicular corneal profile pattern changes in 2.2-mm corneal incision phacoemulsification. METHODS Sixty-seven eyes of 67 patients were included in this prospective, interventional, before-after paired design study. Power vector components were obtained from keratometry (IOLMaster; Carl Zeiss Meditec, Göttingen, Germany) and topography corneal height da...

The aim of this study was to investigate whether the ligamentous lumbar vertebral column of a macaque could potentially provide passive mechanical support to the weight of the head, upper body and forelimbs during upright sitting. The seated flexed curvature of the lumbar spine of Macaca sylvana was estimated from a photograph and was partitioned equally among the lumbar-lumbar intervertebral j...

Recently, we have used the symmetric bracket of vector fields, and developed the notion of the symmetric derivation. Using this machinery, we have defined the concept of symmetric curvature. This concept is natural and is related to the notions divergence and Laplacian of vector fields. This concept is also related to the derivations on the algebra of symmetric forms which has been discu...

In this paper, we consider hyperbolic rotation (G0), hyperbolic translation (G1) and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups of G0 in H3. Also, we give explicit parametrization of this invariant surfaces with respect to constant hyperbolic curvature of p...

The properties of membranes containing inclusions, such as proteins or colloidal particles, are calculated as a function of the bilayer interfacial energy and bending coefficients. We find that the inclusion-imposed perturbation leads to damped oscillations in the membrane profile and, hence, to nonmonotonic shortranged, membrane-induced interactions between inclusions. The preferred spacing be...

It is shown that spiral waves may possess many isolated point eigenvalues that appear near branch points of the linear dispersion relation. These eigenvalues are created by the same mechanism that leads to infinitely many bound states for selfadjoint Schrödinger operators with sufficiently weakly decaying long-range potentials. For spirals, the weak decay of the potential is due to the curvatur...

Recent results by Shukurov, Stepanov and Sokoloff [Phys. Rev. E 78,025301,(2008)] on dynamo action in Moebius strip flows, indicate that strong magnetic fields appear in regions where, electric current and flow kinetic helicities have the same sign. Here, an analytical version of their numerical result is obtained by a simpler method of considering the laminar non-turbulent limit, of a twisted ...

Identifying landmark points in facial images is a very important task in computer vision and has several applications. Here we present a fast and robust algorithm capable of identifying a specific set of landmarks on face profile images. The algorithm is based on the local curvature of the profile contour and on the local analysis of the face features. In order to validate the approach, the alg...

Several applications in Computer Vision, like recognition, identification, automatic 3D modeling and animation and non conventional human computer interaction require the precise identification of landmark points in facial images. Here we present a fast and robust algorithm capable of identifying a specific set of landmarks on face profile images. First, the face is automatically segmented from...

In this work we investigate the following isoperimetric problem: to find the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the area of the part of the boundary contained in the horospheres is not included). We reduce the problem to the study of rotationally invariant regions and obtain the possible isoperimetric solutions by stud...