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Vector Arithmetic in the Triangular Grid [PDF]
Entropy, 2021 Vector arithmetic is a base of (coordinate) geometry, physics and various other disciplines. The usual method is based on Cartesian coordinate-system which fits both to continuous plane/space and digital rectangular-grids.
Khaled Abuhmaidan +2 more
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Duality and Dimensionality Reduction Discrete Line Generation Algorithm for a Triangular Grid
ISPRS International Journal of Geo-Information, 2018 Vectors are a key type of geospatial data, and their discretization, which involves solving the problem of generating a discrete line, is particularly important. In this study, we propose a method for constructing a discrete line mathematical model for a
Lingyu Du +4 more
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A Triangular Grid Filter Method Based on the Slope Filter
Remote Sensing, 2023 High-precision ground point cloud data has a wide range of applications in various fields, and the separation of ground points from non-ground points is a crucial preprocessing step.
Chuanli Kang +5 more
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Optimal error-detecting open-locating-dominating set on the infinite triangular grid
Discussiones Mathematicae Graph Theory, 2023 Let G be a graph and S ⊆ V (G) represent a subset of vertices having installed “detectors,” each of which is capable of sensing an “intruder” in its open-neighborhood. The open-locating-code of v ∈ V (G) is the set of neighboring detectors, N(v) ∩ S. The
Devin Jean, Suk J. Seo
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Word-representability of face subdivisions of triangular grid graphs [PDF]
Graphs and Combinatorics, 2016 A graph G = (V, E) is word-representable if there exists a word w over the alphabet V such that letters x and y alternate in w if and only if (x, y) ∈ E. A triangular grid graph is a subgraph of a tiling of the plane with equilateral triangles defined by
Chen, Herman Z.Q. +2 more
core +2 more sources
Micromachines, 2022 Additive manufacturing technologies enable the production of components with lightweight cores, by means of infills with various patterns and densities. Together with reduced mass and material consumption, infill geometries must ensure that strength and ...
Vasile Cojocaru +2 more
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Stress Distribution on Sandwich Structure with Triangular Grid Cores Suffered from Bending Load
International Journal of Aerospace Engineering, 2015 Triangular grid reinforced by carbon fiber/epoxy (CF/EP) was designed and manufactured. The sandwich structure was prepared by gluing the core and composite skins.
Cui Xu +4 more
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TriCCo v1.1.0 – a cubulation-based method for computing connected components on triangular grids [PDF]
Geoscientific Model Development, 2022 We present a new method to identify connected components on triangular grids used in atmosphere and climate models to discretize the horizontal dimension.
A. Voigt +3 more
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A Novel Global Routing Algorithm for Printed Circuit Boards Based on Triangular Grid
Electronics, 2023 Global routing plays a crucial role in printed circuit board (PCB) design and affects the cost of the design significantly. Conventional methods based on rectangular grids have some limitations, whereas this paper introduces a new algorithm that employs ...
Jiarui Chen +3 more
semanticscholar +1 more source
Sensors, 2021 The beneficial effects of adopting a triangular lattice on phased arrays with regular and periodic grids for high-altitude platform station (HAPS) systems are presented in the scenario of massive MIMO communications operating within the 5G NR n257 and ...
Francesco Alessio Dicandia +1 more
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