background: the technique of vertical dome division or tip defining, involves incising the lateral crura and vestibular skin at or lateral to the dome or tip defining point. the incision di-vides the lower lateral cartilage into a lateral segment and a medial segment, which are advanced anteriorly and sutured together to increase tip projection. the present study aimed at assessing a new vertic...

A central question in Banach space theory has been to identify the class of Banach spaces that contain almost isometric copies of the classical sequence spaces `p and c0. Banach space theory entered a new era in the mid 1970’s, when B. Tsirelson [34] constructed the first space not containing isomorphic copies any of the classical sequence spaces. Tsirelson’s space has been called “the first tr...

In this paper we present a voxel-based 3-D reconstruction technique that computes a set of non-transparent object surface voxels from a given set of calibrated camera views. We show that the quality of the reconstruction strongly depends on the accuracy of the computed voxel projection in the image plane and discuss different approximations of the exact projection. The most simple and computati...

The maximum asymptotic bias of an estimator is a global robustness measure of the performance of an estimator. The projection median estimator for multivariate location shows a remarkable behavior regarding asymptotic bias. In this paper we consider a modi cation of the projection median estimator which renders an estimate with better bias performance for point mass contaminations (the worst si...

For finite detector and focal spot sizes, here we propose a projection model for high spatial resolution. First, for a given x-ray source point, a projection datum is modeled as an area integral over a narrow fan-beam connecting the detector elemental borders and the x-ray source point. Then, the final projection value is expressed as the integral obtained in the first step over the whole focal...

This paper presents a projection-based approach for solving conic feasibility problems. To find a point in the intersection of a cone and an affine subspace, we simply project a point onto this intersection. This projection is computed by dual algorithms operating a sequence of projections onto the cone, and generalizing the alternating projection method. We release an easy-to-use Matlab packag...

We present an accurate method to compute the minimum distance between a point and an elliptical torus, which is called the orthogonal projection problem. The basic idea is to transform a geometric problem into finding the unique real solution of a quartic equation, which is fit for orthogonal projection of a point onto the elliptical torus. Firstly, we discuss the corresponding orthogonal proje...