PURPOSE This study aimed to measure the bilateral differences of facial lines in spherical coordinates from faces within a normal range of asymmetry utilizing cone-beam computed tomography (CBCT). MATERIALS AND METHODS CBCT scans from 22 females with normal symmetric-looking faces (mean age 24 years and 8 months) were selected for the study. The average menton deviation was 1.01±0.66 mm. The ...

Pose uncertainty estimation of calibrated cameras is a common task in the field of computer vision and uses location uncertainties of image features. For spherical cameras, those uncertainties cannot be optimally described using conventional latitude-longitude representation. Increasing distortions close to the poles of the spherical coordinate system prevent a suitable description through Gaus...

In this paper, we address a novel problem of cloning a patch of the source spherical panoramic image to the target spherical panoramic image, which we call 360◦ panorama cloning. Considering the sphere geometry constraint embedded in spherical panoramic images, we develop a coordinate-based method that directly clones in the spherical domain. Our method neither differentiates the polar regions ...

Even before any numerical considerations are confronted, we run into difficulties simply in specifying a coordinate system. It is important to distinguish between true scalarvalued and vector-valued functions. The value of a scalar function, say temperature, is independent of coordinate system. That is, the temperature at some point in space is the same regardless of how we define the position ...

With the increase in coverage area of magnetotelluric data, three-dimensional modeling spherical coordinates and its differences with respect to traditional Cartesian have gradually attracted attention. To fully understand influence Earth’s curvature map projection deformations on modeling, qualitative quantitative analyses based realistic models need be examined. Combined five representative p...

Based on the concept of the cloak generating function, we propose a transformation-free method for the required parameters of spherical cloaks without knowing the needed coordinate transformation beforehand. A non-ideal discrete model is used to calculate and optimize the total scattering cross-sections of different profiles of the generating function. A bell-shaped quadratic spherical cloak is...

The problem of collisionless expansion of two-species spherical plasma into vacuum is solved numerically by using of a spherical coordinate electrostatic particle code. A theoretical solution is also presented for the case of Coulomb explosion when light ions can be treated as an impurity. The expansion of the two-ion-species clusters is shown to be a source of high quality mono-energetic ions ...

Properties of the Einstein equations in a coordinate gauge based on expanding null hypersurfaces foliated by metric 2-spheres are described. This null quasi-spherical (NQS) gauge leads to particularly simple analyses of the characteristic structure of the equations and of the propagation of gravitational shocks, and clarifies the geometry of timelike boundary condition. A feature of the NQS gau...