The Experts below are selected from a list of 47511 Experts worldwide ranked by ideXlab platform
Ushio Tanaka - One of the best experts on this subject based on the ideXlab platform.
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GSI - On Geometric Properties of the Textile Set and Strict Textile Set
Lecture Notes in Computer Science, 2019Co-Authors: Tomonari Sei, Ushio TanakaAbstract:The textile plot is a tool for data visualisation proposed by Kumasaka and Shibata (2008). The textile set is a Geometric Object constructed to understand the textile plot outputs. In this study, we find additional facts on a proper subset called the strict textile set. Furthermore, we investigate differential and analytical Geometric properties of the textile set.
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On Geometric Properties of the Textile Set and Strict Textile Set
Geometric Science of Information, 2019Co-Authors: Tomonari Sei, Ushio TanakaAbstract:The textile plot is a tool for data visualisation proposed by Kumasaka and Shibata (2008). The textile set is a Geometric Object constructed to understand the textile plot outputs. In this study, we find additional facts on a proper subset called the strict textile set. Furthermore, we investigate differential and analytical Geometric properties of the textile set.
Tomonari Sei - One of the best experts on this subject based on the ideXlab platform.
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GSI - On Geometric Properties of the Textile Set and Strict Textile Set
Lecture Notes in Computer Science, 2019Co-Authors: Tomonari Sei, Ushio TanakaAbstract:The textile plot is a tool for data visualisation proposed by Kumasaka and Shibata (2008). The textile set is a Geometric Object constructed to understand the textile plot outputs. In this study, we find additional facts on a proper subset called the strict textile set. Furthermore, we investigate differential and analytical Geometric properties of the textile set.
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On Geometric Properties of the Textile Set and Strict Textile Set
Geometric Science of Information, 2019Co-Authors: Tomonari Sei, Ushio TanakaAbstract:The textile plot is a tool for data visualisation proposed by Kumasaka and Shibata (2008). The textile set is a Geometric Object constructed to understand the textile plot outputs. In this study, we find additional facts on a proper subset called the strict textile set. Furthermore, we investigate differential and analytical Geometric properties of the textile set.
Li Yanrui - One of the best experts on this subject based on the ideXlab platform.
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The Node Splitting Optimization Algorithm of R~*-tree Based on Mean Shift
Journal of Mechanical Engineering, 2013Co-Authors: Li YanruiAbstract:The R*-tree can improve the processing efficiency of unorganized point cloud and surface meshes.In order to reduce the overlap degree of R*-tree nodes and increase the space utilization rate,the node splitting of R*-tree is regarded as a pattern clustering problem,pattern clustering the nodes of R*-tree using Gauss mean shift algorithm,the count of mode points is considered as the best splitting number,then splitting the nodes of R*-tree with k-means algorithm whose initial values are the mode points.Experiments show that the newly proposed algorithm has good performance to solve the node splitting problems for any complex Geometric Object,reduce the parameter dependence,avoid the local convergence problem of k-mean effectively,and improve the R*-tree spatial query efficiency.
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the node splitting optimization algorithm of r tree based on mean shift
Journal of Mechanical Engineering, 2013Co-Authors: Li YanruiAbstract:The R*-tree can improve the processing efficiency of unorganized point cloud and surface meshes.In order to reduce the overlap degree of R*-tree nodes and increase the space utilization rate,the node splitting of R*-tree is regarded as a pattern clustering problem,pattern clustering the nodes of R*-tree using Gauss mean shift algorithm,the count of mode points is considered as the best splitting number,then splitting the nodes of R*-tree with k-means algorithm whose initial values are the mode points.Experiments show that the newly proposed algorithm has good performance to solve the node splitting problems for any complex Geometric Object,reduce the parameter dependence,avoid the local convergence problem of k-mean effectively,and improve the R*-tree spatial query efficiency.
Bang-yen Chen - One of the best experts on this subject based on the ideXlab platform.
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Euclidean submanifolds with conformal canonical vector field
arXiv: Differential Geometry, 2017Co-Authors: Bang-yen Chen, Sharief DeshmukhAbstract:The position vector field x is the most elementary and natural Geometric Object on a Euclidean submanifold $M$. The position vector field plays very important roles in mathematics as well as in physics. Similarly, the tangential component x^T of the position vector field is the most natural vector field tangent to the Euclidean submanifold $M$. We simply call the vector field x^T the \textit{canonical vector field} of the Euclidean submanifold M. In earlier articles, we investigated Euclidean submanifolds whose canonical vector fields are concurrent, concircular, or torse-forming. In this article we study Euclidean submanifolds with conformal canonical vector field. In particular, we characterize such submanifolds. Several applications are also given. In the last section we present three global results on complete Euclidean submanifolds with conformal canonical vector field.
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Euclidean Submanifolds via Tangential Components of Their Position Vector Fields
Mathematics, 2017Co-Authors: Bang-yen ChenAbstract:The position vector field is the most elementary and natural Geometric Object on a Euclidean submanifold. The position vector field plays important roles in physics, in particular in mechanics. For instance, in any equation of motion, the position vector x (t) is usually the most sought-after quantity because the position vector field defines the motion of a particle (i.e., a point mass): its location relative to a given coordinate system at some time variable t. This article is a survey article. The purpose of this article is to survey recent results of Euclidean submanifolds associated with the tangential components of their position vector fields. In the last section, we present some interactions between torqued vector fields and Ricci solitons.
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Topics in differential geometry associated with position vector fields on Euclidean submanifolds
Arab Journal of Mathematical Sciences, 2017Co-Authors: Bang-yen ChenAbstract:Abstract The position vector field is the most elementary and natural Geometric Object on a Euclidean submanifold. The purpose of this article is to survey six research topics in differential geometry in which the position vector field plays very important roles. In this article we also explain the relationship between position vector fields and mechanics, dynamics, and D’Arcy Thompson’s law of natural growth in biology.
Gaoquan Shi - One of the best experts on this subject based on the ideXlab platform.
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surface plasmon resonances of silver triangle nanoplates graphic assignments of resonance modes and linear fittings of resonance peaks
Journal of Physical Chemistry B, 2005Co-Authors: Yi He And, Gaoquan ShiAbstract:The extinction spectra of five silver equilateral triangle plates with a fixed thickness of 10 nm and side lengths of 50, 100, 150, 200 ,and 250 nm, respectively, have been simulated by the discrete dipole approximation (DDA) method in which a Geometric Object of interest is meshed and represented by a lattice of spatial dipoles. Irradiated by an incident plane wave with a given propagation direction and polarization state, each triangle nanoplate presents three surface plasmon resonance (SPR) peaks in the range of 300 to 1200 nm. At a given peak, every complex spatial oscillatory vector derived by DDA (corresponding to a certain dipole in the meshed target) is orthogonally resolved into three basic oscillations. Each basic component can be subsequently expressed by two parameters, amplitude (P) and phase angle (φ). The distributions of six such physical parameters of all the dipoles in the selected cross plane of the target are illustrated colorfully in plots as a graphic characterization and assignment ...
