Sentence examples for a reference sphere from inspiring English sources

In particular, we show how two different frameworks can be combined: one for the general setting, and one dedicated to the case where all the objects handled lie on a reference sphere.

The plots in Fig. 7a, with a reference sphere size of D = 50 μm, can be superposed on one another by shifting the data along the time axis (Fig. 7b).

Due to linearity, they may also be used to compute the difference between the models' magnetic field components using the gradient of Eq. 1 in the spatial domain on a reference sphere, such as the Earth's mean radius r=a or the core mantle boundary at r=3485 km.

Group averages were made by aligning the sulcal-gyral patterns of individual subjects and minimizing stretching of the surface while morphing into a reference sphere [40].

A prominent feature of Pentacam is the improved map for ectasia detection analysis by Belin/Ambrosio; in order to calculate an elevation, a reference sphere (BFS) is used with a radius depending on the K. Next, the sphere (BFS) is optimised, excluding the central area of 4 mm, thus highlighting pathologies and facilitating the detection of subclinical keratoconus.

Mass anomalies at the Moho are defined with respect to a mean reference sphere at a depth of 33 km.

The pre-operative anterior corneal surface shows a 40 µm bulging (with respect to the reference sphere) near the ectactic zone, next to a −45 µm depression.

We display in Figure 1 maps of the declination D, inclination I, and total intensity F in 2015.0 on the Earth's reference sphere (r=a) in a Mercator projection that is well suited to navigation.

Our work presents an analysis of optimal values of correction zones and an optimal position of the center of the reference sphere based on the variance of wave aberration for the image quality evaluation.

General relations for the calculation of wave aberration, ray aberrations and the influence of change of radius of the reference sphere on the wave aberration of a normal to aspherical surface are derived.

A modelling method relying on 2D spherical local functions (Thébault 2008) is then applied to fit the synthetic measurements to an equivalent SH degree 900 within 2000 caps homogeneously distributed on the reference sphere.