We are given a finite set of n points (guards) G in the plane R 2 and an angle 0 ≤ Θ ≤ 2π. A Θ-cone is a cone with apex angle Θ. We call a Θ-cone empty (with respect to G) if it does not contain any point of G. A point p ∈ R is called Θ-guarded if every Θ-cone with its apex located at p is non-empty. Furthermore, the set of all Θ-guarded points is called the Θ-guarded region, or the Θ-region fo...

A new class of liquid electro-optics based on electrowetting is able to replicate the high performance of solid geometrical optics. Scaled-down electrowetting optics can be arrayed in order to achieve a flat and large area form factor. Techniques for applying electrowetting devices to light valves and arrayed microprisms are reviewed. Electrowetting light valves (ELVs) reconfigure the geometry ...

Aims The first aim of this study was to determine the size of the Koch's triangle. The second one was to investigate relation between its dimensions and other individual-specific and heart-specific parameters as well as to create universal formula to estimate triangle dimensions based on these parameters. Methods and results This study is a prospective one, presenting 120 randomly selected au...

Material and methods We have used the Formetric 4D-Dicom II system, which is supplied also with lateral Cobb angle measurement. We have examined 616 patients (432 females and 184 males), age 5 y to 21 y. The patients have been visited clinically by inspection, Adams forward bending test and Perdriolle scoliometer. We have fit, to every patient, 4-8 reflectors on the apex of T1 through L4 spinal...

In this work, we have studied the problem of arranging randomly scattered wireless sensor antennas in a way that guarantees the connectivity of the induced communication graph. The main challenge here is to minimize energy consumption while preserving node connectivity [2]. In order to save power, increase transmission capacity and reduce interference, antennas should communicate along a wedge-...

Let P and Q be two disjoint convex polygons in the plane with m and n vertices, respectively. Given a point x in P, the aperture angle of x with respect to Q is deened as the angle subtended by the cone that contains Q, has apex at x, and has its two rays emanating from x tangent to Q. We present algorithms with complexities O(n logm) and O(n+m) for computing the maximum aperture angle with res...

We have implemented microLED integration into a 300mm CMOS platform with 9150ppi and brightness > 1Mnits. Here we show the impact of light outcoupling optimization on optical crosstalk efficiency extraction. By implementing wafer level optics achieve reduction more than 20dB between neighboring pixels >20% within APEX angle +/‐20deg relevant for waveguide optics.

BACKGROUND Appropriate footwear for individuals with diabetes but no ulceration history could reduce the risk of first ulceration. However, individuals who deem themselves at low risk are unlikely to seek out bespoke footwear which is personalised. Therefore, our primary aim was to investigate whether group-optimised footwear designs, which could be prefabricated and delivered in a retail setti...

A non-destructive replica method and a 3-D reconstruction algorithm are used to analyse the geometry and expansion of the shoot apex surface. Surface expansion in the central zone of the apex is slow and nearly isotropic while surface expansion in the peripheral zone is more intense and more anisotropic. Within the peripheral zone, the expansion rate, expansion anisotropy, and the direction of ...

OBJECTIVES Aim of the present study was to define the relationship between petrous apex pneumatization and the nearby major anatomical landmarks using temporal bone computed tomography (CT) images. METHODS This retrospective, Institutional Review Board-approved study analyzed CT images of 84 patients that showed normal findings bilaterally. Pneumatization of the petrous apex was classified us...