Sentence examples for minimizing geodesics between from inspiring English sources

We show that if (X,ν,ν) has nonnegative N-Ricci curvature and has unique minimizing geodesics between almost all pairs of points then it satisfies DM, with constant 2N.

In the former case the proof requires a delicate analysis of minimizing geodesics of the group and of the differentiability properties of the squared distance function.

Yatziv and Sapiro [3] proposed a method for determining propagation paths in the image by minimizing geodesic distances from every scribble.

These terms simultaneously minimize the differences between synthetic and real images while minimizing the difference between synthetic and refined images to retain annotations.

The shape average is computed by minimizing the sum squared geodesic distances (geodesic variance) between all the shapes in the population.

Second, citation and usage social network measures such as Closeness Centrality (the mean length of geodesics between a journal and all other journals), Betweenness Centrality (number of times that a journal sits on the geodesics between all pairs of journals) and PageRank (cf. Eigenvector Centrality).

The Betweenness Centrality of a node is the proportion of all geodesics between pairs of other nodes that include the node.

The betweenness of a node is the fraction of shortest paths (geodesics) between all pairs of nodes in the network that include that node, whereas the eccentricity of a node is the length of the longest geodesic between the node and all other nodes in the network.

Therefore, through the analysis of geodesic curvature, a general numerical method is presented to calculate the geodesics between arbitrary two points on the paraboloidal surface.

The geodesics between them maintain a consistency and are of constant magnitude.

For isometric deformations, the geodesics between any two points on the surface is constrained to a constant value.