The irregular domain and lack of ordering make it challenging to design deep neural networks for point cloud processing. This paper presents a novel framework named Point Cloud Transformer(PCT) learning. PCT is based on Transformer, which achieves huge success in natural language processing displays great potential image It inherently permutation invariant sequence points, making well-suited To...

Membranes with immobilized GM3-type oligosaccharide were prepared and influenza virus adsorption was evaluated. GM3-type oligosaccharide which has azido group in the aglycon was synthesized by saccharide primer method. The azido group was used for combination by click chemistry with alkyne which is introduced to membranes. The position of the azido group in the aglycon of GM3-type oligosacchari...

Given a set of sites in a simple polygon, a geodesic Voronoi diagram partitions the polygon into regions based on distances to sites under the geodesic metric. We present algorithms for computing the geodesic nearest-point, higher-order and farthest-point Voronoi diagrams of m point sites in a simple n-gon, which improve the best known ones form ≤ n/polylogn. Moreover, the algorithms for the ne...

In this paper, we give a complete description of the farthest point map, as defined on regular octahedron with its intrinsic flat cone metric. As consequence show that every well-defined orbit map converges to 1-skeleton barycentric subdivision triangulation.