vspace{0.2cm}In this paper, we design a data structure for the following problem. Let $pi$ be an $x$-monotone trajectory with $n$ vertices in the plane and $epsilon >0$. We show how to preprocess $pi$ and $epsilon$ into a data structure such that for any horizontal query segment $Q$ in the plane, one can quickly determine the minimal continuous fraction of $pi$ whose Fr{'e}chet and Hausdo...

purpose : to evaluate the near visual performance of an accommodative intraocular lens (iol) tetraflex, in comparison to a standard monofocal foldable iol in cataract surgery. setting: eye research center , farabi eye hospital , department of ophthalmology, tehran university of medical sciences, iran . methods : forty six eyes of 23 patients with cataract underwent phacoemulsification and accom...

Background & Aims: The orbital cavity is an important anatomic structure in the face. It is in close connection with the skull, paranasal sinuses, and the nose. Precise knowledge of the orbital cavity dimensions can be helpful in the diagnosis and treatment of diseases associated with the orbital cavity. Due to the lack of adequate research on orbital size in Iran and the city of Kerman, the ai...

Mapping is a fundamental application of remote sensing images, and the accurate evaluation image information extraction using artificial intelligence critical. However, existing method, based on Intersection over Union (IoU), limited in evaluating extracted information’s boundary accuracy. It insufficient for determining mapping Furthermore, traditional methods struggle to match inflection poin...

Anthropometry refers to the measurements of the human individual to note the physical variation. The literature shows that there are significant differences in ocular and orbital morphometry among individuals of different age, sex and ethnicity. Sixty-four intact skulls i.e. 128 orbits were measured using digital Vernier caliper. Orbital height (OH), Orbital width (OW), Biorbital distance (BOD)...

This study was to evaluate the morphological features of degenerative spinal stenosis and adequacy of lateral canal stenosis decompression via unilateral and bilateral laminectomy. Measurements of facet joint angulation (FJA), mid facet point (MFP), mid facet point distance (MFPD), the narrowest point of the lateral spinal canal (NPLC) and the narrowest point of the lateral spinal canal distanc...

In this paper we consider an optimal control problem for a large population of interacting agents with deterministic dynamics, aggregating potential and constraints on reciprocal distances, in dimension 1. We study existence qualitative properties periodic time trajectories the finite problem, particular interest compactness solutions' support saturation distance constraint. Moreover, prove, th...