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89  Articles
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Currently, the Internet has given people the opportunity to access to human knowledge quickly and conveniently through various channels such as Web pages, social networks, digital libraries, portals... However, with the process of exchanging and updating ... see more

In this paper, we will describe an algorithm for geodesic distance calculation that applied at the surface of triangular mesh object, to analyze its efficiency and accuracy. We applied the Fast Marching Method on Triangulated Domain (FMM On TD) with O(n l... see more

In this paper, we propose an efficient algorithm to solve the averaging problem on the Lorentz group O ( n , k ) . Firstly, we introduce the geometric structures of O ( n , k ) endowed with a Riemannian metric where geodesic could be writte... see more

Abstract: Modern experiments in Magnetic Confinement Nuclear Fusion can produce Gigabytes of data, mainly in form of time series. The acquired signals, composing massive databases, are typically affected by significant levels of noise. The interpretation ... see more

Let HH be a complex Hilbert space. Consider the ortho-Grassmann graph G?k(H)\Gamma^{\perp}_{k}(H) whose vertices are kk-dimensional subspaces of HH (projections of rank kk) and two subspaces are connected by an edge in this graph if they are compatible an... see more

We prove a height estimate and an approximation with Lipschitz graphs for geodesics in Carnot groups in the small excess regime

Image segmentation is regarded as the most crucial medical imaging process because it extracts the region of interest and thus helps upgrade medical diagnosis. The Geodesic deformable model is a curve that deforms within digital images to extract object s... see more

In this paper, we study S-tangent surfaces according to Sabban frame in the Lorentzian Heisenberg group Heis³. We obtain differential equations about in terms of their geodesic curvatures in the Lorentzian Heisenberg group Heis³. Finally, we find explicit... see more

In this paper, we study the problem of computing Euclidean geodesic centers of a polygonal domain P with a total of n vertices. We discover many interesting observations. We give a necessary condition for a point being a geodesic center. We show... see more

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