Spherical Indicatrices of a Bertrand Curve in Three Lie Groups

In this paper, new representations of a Bertrand curve pair in three dimensional Lie groups with bi-invariant metric are given. Besides, the spherical indicatrices of a Bertrand curve pair are obtain and the relations between the spherical indicatrices and new representations of Bertrand curve pair are shown.Comment: 12 page

Classification accuracies of our method and several other methods on the GTFB database.

<p>Classification accuracies of our method and several other methods on the GTFB database.</p

Classification accuracy of LDA using a single color channel on the GTFB database.

<p>Classification accuracy of LDA using a single color channel on the GTFB database.</p

Lévy noise improves the electrical activity in a neuron under electromagnetic radiation - Fig 5

<p>The spatial phase diagrams of electrical activity under different external radiation-induced magnet flux (a), (c) and (e) no noise; (b), (d) and (f) Lévy noise.</p

An example shows partial correlation matrix (only select top 50 from 121 ones) of representation residuals.

<p>An example shows partial correlation matrix (only select top 50 from 121 ones) of representation residuals.</p

The example shows the importance of P and Q for classification.

<p>(a) The classification result is right when our model B-GRR using the prior information <b>P</b> and <b>Q</b>. However, we obtain the wrong result using CRC. (b) The corresponding representation coefficients of B-GRR and CRC.</p

Examples for handing occlusion images.

<p>Examples for handing occlusion images.</p

The recognition rate curves of the proposed model versus the variation of regularization parameters on the different experiments.

<p>(a) The influence of . (b) The influence of .</p

The recognition rates of SRC, GSRC, CESR, RSC, RRC_L₂ and R-GRR under the occlusion percentage from 0 to 50.

<p>The recognition rates of SRC, GSRC, CESR, RSC, RRC_L₂ and R-GRR under the occlusion percentage from 0 to 50.</p