Sentence examples for geometric measures from inspiring English sources

Three-dimensional T1-weighted volumetric images are analyzed using FreeSurfer software (Athinoula A. Martinos Center for Biomedical Imaging, Boston, MA, USA) [ 114], and volume measurements of anatomic brain regions and geometric measures of cortical regions will be computed.

Screw theory and barycentric formulas were used to find meaningful geometric measures.

Blackledge et al. [76] used a combination of both Euclidean and fractal geometric measures to arrive at feature vector.

Interpretation of the data included simulation of FDTD models based on the external geometric measures of the structure.

Pose is estimated based on the deviation of geometric measures (inter-eye distance and eye-center to mouth distance) from mean values.

Following that, various statistical and geometric measures are calculated from the discretized segments, including distribution of turning angles and mean orientation vectors.

Bombieri's publications include Geometric Measure Theory and Minimal Surfaces (1973), Le Grand Crible dans la théorie analytique des nombres (1974; "The Large Sieve in Analytic Number Theory"), Seminar on Minimal Submanifolds (1983), An Introduction to Minimal Currents and Parametric Variational Problems (1985), and Number Theory, Trace Formulas, and Discrete Groups (1989).

This might be taken to mean that any geometric measure can be associated with some number (that is, some whole number or fraction; in modern terminology, rational number), for in Greek usage the term for number, arithmos, refers exclusively to whole numbers or, in some contexts, to ordinary fractions.

One of the most commonly used geometric measure is Hausdorff distance [9].

The following theorem deals with a geometric measure representation of continuous star-shaped distributions.

Based upon a geometric measure representation, an algorithm for simulating corresponding probabilities of rather arbitrary random events is derived.