As the essential content of intelligent animal husbandry, identifying each livestock is only way to achieve modern and refined scientific husbandry. This paper proposes a sheep face recognition method based on European spatial metrics realizes noncontact identity by training network using image samples in natural environment. The SheepBase data set was first proposed this process, which contain...

BACKGROUND Several methodological approaches have been used to estimate distance in health service research. In this study, focusing on cardiac catheterization services, Euclidean, Manhattan, and the less widely known Minkowski distance metrics are used to estimate distances from patient residence to hospital. Distance metrics typically produce less accurate estimates than actual measurements, ...

We give a geometric derivation of SLE(κ, ρ) in terms of con-formally invariant random growing compact subsets of polygons. The parameters ρ j are related to the exterior angles of the polygons. We also show that SLE(κ, ρ) can be generated by a metric Brownian motion , where metric and Brownian motion are coupled and the metric is a pull-back metric of the Euclidean metric of an evolving polygon.

A large variety of supervised or unsupervised learning algorithms is based on a metric or similarity measure of the patterns in input space. Often, the standard euclidean metric is not sufficient and much more efficient and powerful approximators can be constructed based on more complex similarity calculations such as kernels or learning metrics. This procedure is benefitial for data in euclide...

We develop a theory of currents in metric spaces which extends the classical theory of Federer{Fleming in euclidean spaces and in Riemannian manifolds. The main idea, suggested in 20, 21], is to replace the duality with diierential forms with the duality with (k + 1)-ples (f; 1; : : : ; k) of Lipschitz functions, where k is the dimension of the current. We show, by a metric proof which is new e...

We develop a theory of currents in metric spaces which extends the classical theory of Federer{Fleming in euclidean spaces and in Riemannian manifolds. The main idea, suggested in 20, 21], is to replace the duality with diierential forms with the duality with (k + 1)-ples (f; 1; : : : ; k) of Lipschitz functions, where k is the dimension of the current. We show, by a metric proof which is new e...

We modify the incremental algorithm for computing Voronoi diagrams in the Euclidean metric proposed by Ohya, Iri and Murota 6] in order to obtain an algorithm for computing Voronoi diagrams (resp. Delaunay triangulations) in Man-hattan and Maximum metric, that is rather simply to implement. We generalize the notions of \Voronoi diagram" and \Delaunay triangulation" in such a way that these stru...