In this paper, we present a new approach that allows the detection of brain tumors. The approach is based on mathematical methods such as correlation, covariance and geodesic distance. Before proceeding to the segmentation and automatic extraction, the detection of central indices of abnormal tissues is based on the method of correlation and covariance. From these indices, segmentation of brain...

This article presents a solution along with experimental results for an application of semi-supervised machine learning techniques and improvement on the SVM (Support Vector Machine) based on geodesic model to build text classification applications for Vietnamese language. The objective here is to improve the semi-supervised machine learning by replacing the kernel function of SVM using geodesi...

This paper examines, theoretically, how dispersal affects the viability of brown kiwi populations in protected areas of different size. Brown kiwi are threatened by introduced mammalian predators in mainland forests and are likely to persist only in managed forests where predators are controlled. In each protected area, the kiwi population will function as a net source, with an outflow of juven...

Surveying primary tropical forest over large regions is challenging. Indirect methods of relating terrain information or other external spatial datasets to forest biophysical parameters can provide forest structural maps at large scales but the inherent uncertainties need to be evaluated fully. The goal of the present study was to evaluate relief characteristics, measured through geomorphometri...

We address the Monge problem in metric spaces with a geodesic distance: (X, d) is a Polish non branching geodesic space. We show that we can reduce the transport problem to 1-dimensional transport problems along geodesics. We introduce an assumption on the transport problem π which implies that the conditional probabilities of the first marginal on each geodesic are continuous. It is known that...

The geodesic k-center problem in a simple polygon with n vertices consists in the following. Find a set S of k points in the polygon that minimizes the maximum geodesic distance from any point of the polygon to its closest point in S. In this paper, we focus on the case where k = 2 and present an exact algorithm that returns a geodesic 2-center in O(n log n) time.

water resources local governance can is one of the most influential collaborative approach in the water resources management. social monitoring of local stakeholders plays an important role in planning, resources management and water efficient governance. therefore to achieve this goal, social network analysis has been considered as an approach of analysis of the relationship among local stakeh...

We study a Riemannian metric on the cone of symmetric positive-definite matrices obtained from Hessian power potential function (1?det?(X)?)/?. give explicit expressions for geodesics and distance function, under suitable conditions. In scalar case, geodesic between two positive numbers coincides with weighted mean, while size at least it yields notion mean different ones given in literature. A...