Sentence examples for moving frame method from inspiring English sources

This is a typical work in which the moving frame method is used effectively.

Using the moving frame method, the errors and the variations were quantified, and the error-variation equations were established.

As an immediate consequence, we get the Brouwer degree of the gradient map which was firstly obtained by Peng and Tang with moving frame method.

Based on the group metric and arc-length, the group curvature can be computed using either Lie theory or Cartan's moving frame method (Cartan 1935; Faugeras 1993).

We also give amore formal description of Cartan's moving frame method for deriving differential invariants and then show that the two-thirds power law is consistent with the equi-affine velocity being piecewise constant.

Starting with these empirical observations, we have developed a mathematical framework based on differential geometry, Lie group theory and Cartan's moving frame method for the analysis of human hand trajectories.

We now describe the numerical method for extracting the required functions associated with the affine moving frame from data obtained by measuring hand trajectories.

In "Scientific Discovery, Frame by Moving Frame," James Gorman introduces ScienceTake, a new regular series on the Science pages.

The moving frame carries a central stationary (relative to the frame) mirror, called a master mirror.

In our context, stochastic parallel transport provides a canonical moving frame on the path space.

Above we described a curve moving frame structure.