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Search Results (3)

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Keywords = Laguerre–Voronoi diagram

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15 pages, 2136 KiB  
Article
Self-Supervised Open-Set Speaker Recognition with Laguerre–Voronoi Descriptors
by Abu Quwsar Ohi and Marina L. Gavrilova
Sensors 2024, 24(6), 1996; https://doi.org/10.3390/s24061996 - 21 Mar 2024
Viewed by 1710
Abstract
Speaker recognition is a challenging problem in behavioral biometrics that has been rigorously investigated over the last decade. Although numerous supervised closed-set systems inherit the power of deep neural networks, limited studies have been made on open-set speaker recognition. This paper proposes a [...] Read more.
Speaker recognition is a challenging problem in behavioral biometrics that has been rigorously investigated over the last decade. Although numerous supervised closed-set systems inherit the power of deep neural networks, limited studies have been made on open-set speaker recognition. This paper proposes a self-supervised open-set speaker recognition that leverages the geometric properties of speaker distribution for accurate and robust speaker verification. The proposed framework consists of a deep neural network incorporating a wider viewpoint of temporal speech features and Laguerre–Voronoi diagram-based speech feature extraction. The deep neural network is trained with a specialized clustering criterion that only requires positive pairs during training. The experiments validated that the proposed system outperformed current state-of-the-art methods in open-set speaker recognition and cluster representation. Full article
(This article belongs to the Section Sensor Networks)
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20 pages, 7452 KiB  
Article
Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation
by Xingshuai Zheng, Tengfei Sun, Jixing Zhou, Rupeng Zhang and Pingmei Ming
Materials 2022, 15(6), 1996; https://doi.org/10.3390/ma15061996 - 8 Mar 2022
Cited by 26 | Viewed by 5763
Abstract
Voronoi tessellations are shown to be statistically representative of polycrystalline microstructures, which have been widely accepted for the modeling of microstructures of metallurgic and ceramic materials. In this paper, a new implementation of the Voronoi diagram in Laguerre geometry is presented for the [...] Read more.
Voronoi tessellations are shown to be statistically representative of polycrystalline microstructures, which have been widely accepted for the modeling of microstructures of metallurgic and ceramic materials. In this paper, a new implementation of the Voronoi diagram in Laguerre geometry is presented for the generation of numerical models of polycrystalline microstructures, where the size and shape of the grains can be controlled, and the 3D grain boundaries can be modeled with a specified thickness. The distribution of grain sizes in the models is fitted to a lognormal distribution, compared with the normal distribution in the Voronoi tessellation methods. Finally, statistical analyses of grain face and grain size distribution are performed with the models, and the macroscopic elastic properties of polycrystalline ceramic materials are simulated to verify the capability of the presented method. Full article
(This article belongs to the Topic Processing, Analysis, Modelling and Mechanics of Materials and Structures)
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13 pages, 1704 KiB  
Article
The Existence of a Convex Polyhedron with Respect to the Constrained Vertex Norms
by Supanut Chaidee and Kokichi Sugihara
Mathematics 2020, 8(4), 645; https://doi.org/10.3390/math8040645 - 22 Apr 2020
Cited by 2 | Viewed by 4142
Abstract
Given a set of constrained vertex norms, we proved the existence of a convex configuration with respect to the set of distinct constrained vertex norms in the two-dimensional case when the constrained vertex norms are distinct or repeated for, at most, four points. [...] Read more.
Given a set of constrained vertex norms, we proved the existence of a convex configuration with respect to the set of distinct constrained vertex norms in the two-dimensional case when the constrained vertex norms are distinct or repeated for, at most, four points. However, we proved that there always exists a convex configuration in the three-dimensional case. In the application, we can imply the existence of the non-empty spherical Laguerre Voronoi diagram. Full article
(This article belongs to the Special Issue Modern Geometric Modeling: Theory and Applications)
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