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Journal articles on the topic 'Polygonal grid'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

Fan, Hongchao, Zhiyao Zhao, and Wenwen Li. "Towards Measuring Shape Similarity of Polygons Based on Multiscale Features and Grid Context Descriptors." ISPRS International Journal of Geo-Information 10, no. 5 (2021): 279. http://dx.doi.org/10.3390/ijgi10050279.

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In spatial analysis applications, measuring the shape similarity of polygons is crucial for polygonal object retrieval and shape clustering. As a complex cognition process, measuring shape similarity should involve finding the difference between polygons, as objects in observation, in terms of visual perception and the differences of the regions, boundaries, and structures formed by the polygons from a mathematical point of view. In existing approaches, the shape similarity of polygons is calculated by only comparing their mathematical characteristics while not taking human perception into con

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Raguzin, I. I., E. N. Bykova, and O. Yu Lepikhina. "POLYGONAL METRIC GRID METHOD FOR ESTIMATING THE CADASTRAL VALUE OF LAND PLOTS." Lomonosov Geography Journal 78, no. 3 (2023) (2023): 92–103. http://dx.doi.org/10.55959/msu0579-9414.5.78.3.8.

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High computer-intensity and complexity of the mechanisms for recalculating the coefficients of pricing factors affect the process of calculating the cadastral value. To solve these problems, the study substantiates the use of polygonal metric grid method to determine the values of pricing factors of the cadastral value of land plots using St. Petersburg as an example. In local modeling, the algorithm implementing the polygonal metric grid method showed a decrease in the number of operations by 49,999% compared to the approach applied for 2018 state cadastral valuation in St. Petersburg. Calcul

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Weller, H. "Non-orthogonal version of the arbitrary polygonal C-grid and a new diamond grid." Geoscientific Model Development 7, no. 3 (2014): 779–97. http://dx.doi.org/10.5194/gmd-7-779-2014.

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Abstract. Quasi-uniform grids of the sphere have become popular recently since they avoid parallel scaling bottlenecks associated with the poles of latitude–longitude grids. However quasi-uniform grids of the sphere are often non-orthogonal. A version of the C-grid for arbitrary non-orthogonal grids is presented which gives some of the mimetic properties of the orthogonal C-grid. Exact energy conservation is sacrificed for improved accuracy and the resulting scheme numerically conserves energy and potential enstrophy well. The non-orthogonal nature means that the scheme can be used on a cubed

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Weller, H. "Non-orthogonal version of the arbitrary polygonal C-grid and a new diamond grid." Geoscientific Model Development Discussions 6, no. 4 (2013): 6035–74. http://dx.doi.org/10.5194/gmdd-6-6035-2013.

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Abstract. Quasi-uniform grids of the sphere have become popular recently since they avoid parallel scaling bottlenecks associated with the poles of latitude-longitude grids. However quasi-uniform grids of the sphere are often non-orthogonal. A version of the C-grid for arbitrary non-orthogonal grids is presented which gives some of the mimetic properties of the orthogonal C-grid. Exact energy conservation is sacrificed for improved accuracy and the resulting scheme numerically conserves energy and potential enstrophy well. The non-orthogonal nature means that the scheme can be used on a cubed

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Cresto Aleina, F., V. Brovkin, S. Muster, et al. "A stochastic model for the polygonal tundra based on Poisson-Voronoi Diagrams." Earth System Dynamics Discussions 3, no. 1 (2012): 453–83. http://dx.doi.org/10.5194/esdd-3-453-2012.

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Abstract. Sub-grid processes occur in various ecosystems and landscapes but, because of their small scale, they are not represented or poorly parameterized in climate models. These local heterogeneities are often important or even fundamental for energy and carbon balances. This is especially true for northern peatlands and in particular for the polygonal tundra where methane emissions are strongly influenced by spatial soil heterogeneities. We present a stochastic model for the surface topography of polygonal tundra using Poisson-Voronoi Diagrams and we compare the results with available rece

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Titov, Andrei P., and Dar’ya N. Titova. "METHODS FOR SOLVING PROBLEMS OF DETECTING COLLISIONS OF OBJECTS WITH A POLYGONAL GRID." RSUH/RGGU Bulletin. Series Information Science. Information Security. Mathematics, no. 4 (2024): 23–39. https://doi.org/10.28995/2686-679x-2024-4-23-39.

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The article investigates methods and algorithms designed to detect and predict collisions between objects and polygonal grids. The relevance of the topic is due to the widespread use of polygonal grids in various fields of computer graphics and engineering analysis, such as video games, virtual reality, robotics and computer modeling. With the increasing complexity and detailed elaboration of virtual environments, the need for accurate and effective collision detection methods is becoming increasingly important to ensure the realism and reliability of simulations. The purpose of the work is to

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Gentry, Megan S., and Gary M. Lackmann. "Sensitivity of Simulated Tropical Cyclone Structure and Intensity to Horizontal Resolution." Monthly Weather Review 138, no. 3 (2010): 688–704. http://dx.doi.org/10.1175/2009mwr2976.1.

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Abstract The Weather Research and Forecasting (WRF) model is used to test the sensitivity of simulations of Hurricane Ivan (2004) to changes in horizontal grid spacing for grid lengths from 8 to 1 km. As resolution is increased, minimum central pressure decreases significantly (by 30 hPa from 8- to 1-km grid spacing), although this increase in intensity is not uniform across similar reductions in grid spacing, even when pressure fields are interpolated to a common grid. This implies that the additional strengthening of the simulated tropical cyclone (TC) at higher resolution is not attributabl

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Eldred, Christopher, and David Randall. "Total energy and potential enstrophy conserving schemes for the shallow water equations using Hamiltonian methods – Part 1: Derivation and properties." Geoscientific Model Development 10, no. 2 (2017): 791–810. http://dx.doi.org/10.5194/gmd-10-791-2017.

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Abstract. The shallow water equations provide a useful analogue of the fully compressible Euler equations since they have similar characteristics: conservation laws, inertia-gravity and Rossby waves, and a (quasi-) balanced state. In order to obtain realistic simulation results, it is desirable that numerical models have discrete analogues of these properties. Two prototypical examples of such schemes are the 1981 Arakawa and Lamb (AL81) C-grid total energy and potential enstrophy conserving scheme, and the 2007 Salmon (S07) Z-grid total energy and potential enstrophy conserving scheme. Unfort

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Liu, Jia, Wei Bo Li, Yao Hua Chen, and Lin Dong. "A Cutting Algorithm Based on the Tin Stratigraphic Model." Applied Mechanics and Materials 235 (November 2012): 58–62. http://dx.doi.org/10.4028/www.scientific.net/amm.235.58.

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This paper researched the cutting algorithm on the basis of the stratigraphic Tin model. Different from the traditional grid cutting method which was a single plane cut, the paper designed a polygon prisms cutting method for simulating geological boundary and mining boundary by the interactive analysis of the stratum model. This method improved on partitioning the triangle nets and reconstructing the stratum, which was able to realize cutting stratigraphic with the arbitrary polygonal prisms. Finally, the test result showed the cut graphics by the method of polygon prisms cutting stratum model

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DOMÍNGUEZ-MOTA, F., P. FERNÁNDEZ-VALDEZ, S. MENDOZA-ARMENTA, G. TINOCO-GUERRERO, and J. G. TINOCO-RUIZ. "NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS IN IRREGULAR PLANE REGIONS USING QUALITY STRUCTURED CONVEX GRIDS." International Journal of Modeling, Simulation, and Scientific Computing 04, no. 02 (2013): 1350004. http://dx.doi.org/10.1142/s1793962313500049.

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The variational grid generation method is a powerful tool for generating structured convex grids on irregular simply connected domains whose boundary is a polygonal Jordan curve. Several examples that show the accuracy of a finite difference approximation to the solution of a Poisson equation using this kind of structured grids have been recently reported. In this paper, we compare the accuracy of the numerical solution calculated using those structured grids and finite differences against the solution obtained with Delaunay-like triangulations on irregular regions.

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Milchakova, Natalia E., and Oleg I. Skachkov. "THE USE OF POLYGONS IN VARIOUS FILE FORMATS IN THE DEVELOPING DESIGN OF 3D MODELS." Technologies & Quality 60, no. 2 (2023): 70–75. http://dx.doi.org/10.34216/2587-6147-2023-2-60-70-75.

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The article describes the basic concepts of topology, which are fundamental for specialists in the field of three-dimensional design. All polygons can be divided into triangles, squares and n-gons, and of these polygons are the most undesirable. To consider this statement, a number of models of varying complex- ity have been developed and transferred to the UNITY game engine in two forms obj and fbx. Both formats are the most commonly used in game design, character design, locations, or object modeling, but they con- vert the polygonal grid of an object in different ways, which is why the shap

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Giuseppe, Sappa*1 Flavia Ferranti2 &. Francesco Maria De Filippi3. "VULNERABILITY ASSESSMENT OF THE KARST AQUIFER FEEDING THE PERTUSO SPRING (CENTRAL ITALY): COMPARISON BETWEEN DIFFERENT APPLICATIONS OF COP METHOD." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, no. 6 (2017): 483–92. https://doi.org/10.5281/zenodo.817855.

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Karst aquifers vulnerability assessment and mapping are important tools for improved sustainable management and protection of karst groundwater resources. In this paper, in order to estimate the vulnerability degree of the karst aquifer feeding the Pertuso Spring in Central Italy, COP method has been applied starting from two different discretization approaches: using a polygonal layer and the Finite Square Elements (FSE). Therefore, the hydrogeological catchment basin has been divided into 72 polygons, related to the outcropping lithology and the karst features. COP method has been applied to

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Дуванов, С. С., and І. В. Баранова. "ALGORITHMS FOR CONVERTING VOXEL 3D MODELS INTO POLYGONAL ONES." Visnyk of Zaporizhzhya National University Physical and Mathematical Sciences, no. 2 (December 19, 2023): 14–21. http://dx.doi.org/10.26661/2786-6254-2023-2-02.

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This document explores the using of voxels today in such areas as medicine, 3D scanning, game industry and why do we need to convert them to polygonal mesh. It also describes and analyses the currently existing algorithms for converting voxel 3D models into polygonal ones. Aim of converting algorithms is extracting the surface information from the voxel grid and generate a polygonal mesh composed of triangles that approximate the original shape. The research identified about 10 existing algorithms: Marching Cubes, Dual Contouring, Surface Nets, Voxel Carving, Sparse Voxel Octree, Surface Extra

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Osipov, Sergey, Ivan Komarov, Olga Zlyvko, Andrey Vegera, and George Gertsovsky. "Development of a Methodology for Obtaining Solid Models of Products That Are Objects of Reverse Engineering Using the Example of the Capstone Micro-GTU C 65." Modelling 5, no. 4 (2024): 1980–2000. https://doi.org/10.3390/modelling5040103.

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Currently, about a thousand micro gas turbine units of small and medium capacity are in operation in the Russian Federation, which are used as an autonomous power source at critical infrastructure facilities. During long-term operation, the component parts of the micro GTU may fail and require replacement or repair. The lack of spare parts and design documentation for their production makes it impossible to operate. As a way to solve the problem, the reverse engineering process can be used to produce components. One of the stages of reverse engineering is to determine the geometric parameters

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Volkova, Evgeniya, Aleksey Druzhinin, Roman Kuzminykh, and Vladimir Poluzadov. "Simulation of the preparation and face drilling processes with laser scanning and automated marking of the drilling grid." E3S Web of Conferences 177 (2020): 01010. http://dx.doi.org/10.1051/e3sconf/202017701010.

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The article discusses the methods of calculating the drilling and blasting scheme and constructing a drilling grid, manual and automatic calculation options are compared. A method for automatically constructing a drilling grid based on laser scanning is proposed. Moreover, the proposed method can be implemented using cheap equipment - a laser rangefinder and an Arduino microcomputer. Based on the data of the laser rangefinder with openCV and SciPy libraries, a polygonal 3D model of the face is built. The transfer of the drilling grid to the 3D model is implemented using the bilinear interpolat

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Graham, I. G., and Y. Yan. "Piecewise-constant collocation for first-kind boundary integral equations." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 33, no. 1 (1991): 39–64. http://dx.doi.org/10.1017/s0334270000008614.

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AbstractWe examine the piecewise-constant collocation method, with collocation points the mid-points of subintervals, for first-kind integral equations with logarithmic kernels on polygonal boundaries. Previously this method had been shown to converge subject to certain restrictions on the angles at the corners of the polygon. Here, by considering a slightly modified collocation method, we are able to remove any restrictions on these angles, and to generalise slightly the meshes which may be used. Moreover, the modification leads to new results on the convergence of preconditioned two-(or mult

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Haag, Scott, David Tarboton, Martyn Smith, and Ali Shokoufandeh. "Fast summarizing algorithm for polygonal statistics over a regular grid." Computers & Geosciences 142 (September 2020): 104524. http://dx.doi.org/10.1016/j.cageo.2020.104524.

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Shin, Hee-Sung, and Jong-Chun Park. "Grid-Stamping on a Polygon Model for Implementing Arbitrary-Shaped Boundary Conditions in a Moving Particle Semi-Implicit Method." Journal of Marine Science and Engineering 11, no. 4 (2023): 742. http://dx.doi.org/10.3390/jmse11040742.

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This study proposes a new wall boundary condition for the grid-stamping on a polygon (G-StoP) model, which enables a simpler and more efficient handling of boundary surfaces of arbitrarily complex-shaped bodies represented using polygons (or meshes). For example, computer-aided design surface data can be used to analyze flow using a particle-based fluid-solver moving particle semi-implicit method. For coupling simulations of fluid–multibody dynamics, the Pusan-National-University-modified MPS method is improved, and the coupling analysis is performed using RecurDyn, a commercial software packa

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Sridhar, K. P., and R. T. Davis. "A Schwarz-Christoffel Method for Generating Two-Dimensional Flow Grids." Journal of Fluids Engineering 107, no. 3 (1985): 330–37. http://dx.doi.org/10.1115/1.3242487.

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A new coordinate generation technique, developed by Davis for external flows, is extended to allow for accurate grid generation for a variety of complex internal flow configurations. The approach is based on numerical integration of the Schwarz-Christoffel transformation for polygonal surfaces. It is shown to be second-order accurate with mesh size due to analytic treatment of boundary singularities. The method is flexible enough to allow for treatment of severe internal geometries, for a high degree of control of mesh spacing, and for generation of either orthogonal or nonorthogonal grids. In

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Zhao, Lina, and Eun-Jae Park. "A lowest-order staggered DG method for the coupled Stokes–Darcy problem." IMA Journal of Numerical Analysis 40, no. 4 (2020): 2871–97. http://dx.doi.org/10.1093/imanum/drz048.

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Abstract In this paper we propose a locally conservative, lowest-order staggered discontinuous Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and polygonal meshes. This model is composed of Stokes flow in the fluid region and Darcy flow in the porous media region, coupling together through mass conservation, balance of normal forces and the Beavers–Joseph–Saffman condition. Stability of the proposed method is proved. A new regularization operator is constructed to show the discrete trace inequality. Optimal convergence estimates for all the approximations coverin

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Natsvlishvili, Levan, Nato Jorjiashvili, and Vakhtang Kochoradze. "DEVELOPMENT OF A POSTGIS-BASED METHOD FOR CREATING RISK MAPS OF NATURAL DISASTERS USING THE EXAMPLE OF GEORGIA." Geodesy and cartography 48, no. 2 (2022): 70–77. http://dx.doi.org/10.3846/gac.2022.14791.

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This article discusses a method for creating a risk map of natural disasters for a specific area using PostGIS analysis. This method, which is described in detail, is based entirely on the use of open-source programs and spatial SQL directives. It is designed to use widely available GIS programs to create a flexible method that performs operations on OGC geometry. The area to be analyzed is covered with a polygonal grid. The size of the polygon is determined by the size of the study area. For each element of the grid (polygon), attribute values are determined for the traits characteristic of t

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Ganesh, N., and N. Balakrishnan. "A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows." Communications in Computational Physics 13, no. 2 (2013): 461–78. http://dx.doi.org/10.4208/cicp.170811.210212a.

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AbstractAlgorithms for adaptive mesh refinement using a residual error estimator are proposed for fluid flow problems in a finite volume framework. The residual error estimator, referred to as the ℜ-parameter is used to derive refinement and coarsening criteria for the adaptive algorithms. An adaptive strategy based on the ℜ-parameter is proposed for continuous flows, while a hybrid adaptive algorithm employing a combination of error indicators and the ℜ-parameter is developed for discontinuous flows. Numerical experiments for inviscid and viscous flows on different grid topologies demonstrate

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Engwirda, Darren. "JIGSAW-GEO (1.0): locally orthogonal staggered unstructured grid generation for general circulation modelling on the sphere." Geoscientific Model Development 10, no. 6 (2017): 2117–40. http://dx.doi.org/10.5194/gmd-10-2117-2017.

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Abstract. An algorithm for the generation of non-uniform, locally orthogonal staggered unstructured spheroidal grids is described. This technique is designed to generate very high-quality staggered Voronoi–Delaunay meshes appropriate for general circulation modelling on the sphere, including applications to atmospheric simulation, ocean-modelling and numerical weather prediction. Using a recently developed Frontal-Delaunay refinement technique, a method for the construction of high-quality unstructured spheroidal Delaunay triangulations is introduced. A locally orthogonal polygonal grid, deriv

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NARAYANASWAMI, CHANDRASEKHAR, and WILLIAM RANDOLPH FRANKLIN. "DETERMINATION OF MASS PROPERTIES OF POLYGONAL CSG OBJECTS IN PARALLEL." International Journal of Computational Geometry & Applications 01, no. 04 (1991): 381–403. http://dx.doi.org/10.1142/s0218195991000268.

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A parallel algorithm for determining the mass properties of objects represented in the Constructive Solid Geometry (CSG) scheme that uses polygons as primitives is presented. The algorithm exploits the fact that integration of local information around the vertices of the evaluated polygon is sufficient for the determination of its mass properties, i.e., determination of the edges and the complete topology of the evaluated polygon is not necessary. This reduces interprocessor communication and makes it suitable for parallel processing. The algorithm uses data parallelism, spatial partitioning a

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Bringmann, Karl, Marvin KüNnemann, and André Nusser. "Discrete Fréchet Distance under Translation." ACM Transactions on Algorithms 17, no. 3 (2021): 1–42. http://dx.doi.org/10.1145/3460656.

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The discrete Fréchet distance is a popular measure for comparing polygonal curves. An important variant is the discrete Fréchet distance under translation, which enables detection of similar movement patterns in different spatial domains. For polygonal curves of length n in the plane, the fastest known algorithm runs in time Õ( n 5 ) [12]. This is achieved by constructing an arrangement of disks of size Õ( n 4 ), and then traversing its faces while updating reachability in a directed grid graph of size N := Õ( n 5 ), which can be done in time Õ(√ N ) per update [27]. The contribution of this a

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Musa, Akihiro, Takashi Abe, Takuya Inoue, et al. "A Real-Time Tsunami Inundation Forecast System Using Vector Supercomputer SX-ACE." Journal of Disaster Research 13, no. 2 (2018): 234–44. http://dx.doi.org/10.20965/jdr.2018.p0234.

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Tsunami disasters can cause serious casualties and damage to social infrastructures. An early understanding of disaster states is required in order to advise evacuations and plan rescues and recoveries. We have developed a real-time tsunami inundation forecast system using a vector supercomputer SX-ACE. The system can complete a tsunami inundation and damage estimation for coastal city regions at the resolution of a 10 m grid size in under 20 minutes, and distribute tsunami inundation and infrastructure damage information to local governments in Japan. We also develop a new configuration for t

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Maneea, Marwa, Reda Abd El- Monem, and Gamal Attia. "TWO-GRID ITERATION METHOD FOR SOLVING MULTIVARIABLE INTEGRAL EQUATIONS ON POLYGONAL REGIONS." International Conference on Mathematics and Engineering Physics 4, no. 4 (2008): 1–7. http://dx.doi.org/10.21608/icmep.2008.29887.

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Zhang, J. Y., and M. Ohsaki. "A mechanical approach to generation of planar polygonal mesh for grid shells." Journal of Constructional Steel Research 234 (November 2025): 109736. https://doi.org/10.1016/j.jcsr.2025.109736.

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Xu, Di Jian, and Jian Kui Zeng. "Multidimensional Waveform Encoding for Oil Spoil Detection." Advanced Materials Research 889-890 (February 2014): 583–86. http://dx.doi.org/10.4028/www.scientific.net/amr.889-890.583.

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In this paper, we present a new algorithm for the signal design in radar whose function is oil spill segmentation, using the minimum description length (MDL) principle and a polygonal active grid. This algorithm is based on two steps: a first partitioning step into homogeneous signals and a second classification step with an automatic thresholding. The obtained method allows one to find a optimal signals for radar.

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Goryukhin, Mikhail V. "Complex morphometric evaluation of a Jewish Autonomous Region relief by means of geographic information systems." Bulletin of the Tomsk Polytechnic University Geo Assets Engineering 336, no. 3 (2025): 155–62. https://doi.org/10.18799/24131830/2025/3/4664.

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Relevance. The relief is the basis for landscape, landscape-geochemical, soil and plant association studies, soil erosion, etc. Aim. Evaluation of the erosion hazard of the relief of the Jewish Autonomous Region. Object. Relief of the Jewish Autonomous Region. Methods. The relief was estimated on the basis of SRTM with a raster cell size of 90×90 m. Several images were combined into one with subsequent framing of the final layer by mask to highlight the study area. To calculate a complex morphometric indicator and assess the erosion hazard of the relief, a vector polygonal layer with a cell si

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Pozrikidis, C. "Boundary Element Grid Optimization for Stokes Flow With Corner Singularities." Journal of Fluids Engineering 124, no. 1 (2001): 22–28. http://dx.doi.org/10.1115/1.1436091.

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The accuracy of boundary-element methods for computing Stokes flow past boundaries with sharp corners where singularities occur is discussed. To resolve the singular behavior, a graded mesh of boundary elements whose length increases in a geometrical fashion with respect to distance from the corners according to a prescribed stretch ratio is used. Numerical results for two-dimensional Stokes flow past bodies with polygonal shapes reveal the existence of an optimal value of the stretch ratio for best accuracy in the computation of the force and torque. When the optimal value is used, fast conve

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Koliushko, Denis, Oleksandr Istomin, Serhii Rudenko, Svitlana Kiprych, and Oleg Glebov. "DEVELOPMENT OF THE CALCULATION PROCEDURE ALGORITHM FOR THE CALCULATION OF LIGHTNING RODS PROTECTION ZONES ACCORDING TO THE INTERNATIONAL STANDARD IEC 62305." Bulletin of the National Technical University «KhPI» Series: New solutions in modern technologies, no. 4(18) (December 24, 2023): 90–97. http://dx.doi.org/10.20998/2413-4295.2023.04.13.

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A series of publications on the problem of lightning protection in power stations and substations, especially in the conditions of decreasing stability of the functioning of the energy system of Ukraine is continued. In addition, the relevance of the work is substantiated by the increase in thunderstorm activity on the planet as a whole and by the data of the national energy company in Ukraine, which leads to emergency shutdowns on power transmission lines. The system of algorithms for the computational procedure for calculating the protection zones of the system, which consists of numerous ro

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М.Л., Сидоров, Пронин В.А., Афанаскин И.В., Королев А.В. та Ялов П.В. "Разработка параллельного генератора неструктурированных сеток для моделей нефтегазовых месторождений с адаптацией к объектам геологических моделей". Труды НИИСИ РАН 9, № 5 (2020): 81–90. http://dx.doi.org/10.25682/niisi.2019.5.0012.

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Ранее был представлен метод ФСМ для параллельного построения трехмерных неструктурированных сеток, используемых при дискретизации сложных геологических структур при численном моделировании нефтегазовых месторождений. Метод позволяет строить планарные треугольные и многоугольные сетки, проводить экструзию по оси аппликат, строить сетку по методу угловой точки и обобщенному методу угловой точки. Приведенный метод обладает высокой скоростью построения и хорошо зарекомендовал себя при моделировании месторождений. В данной статье приводится усовершенствование метода ФСМ для построения трехмерной се

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Gomez, Ana Isabel, Marcos Cruz, and Luis Manuel Cruz-Orive. "ON THE PRECISION OF CURVE LENGTH ESTIMATION IN THE PLANE." Image Analysis & Stereology 35, no. 1 (2016): 1. http://dx.doi.org/10.5566/ias.1412.

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The estimator of planar curve length based on intersection counting with a square grid, called the Buffon-Steinhaus estimator, is simple, design unbiased and efficient. However, the prediction of its error variance from a single grid superimposition is a non trivial problem. A previously published predictor is checked here by means of repeated Monte Carlo superimpositions of a curve onto a square grid, with isotropic uniform randomness relative to each other. Nine curvilinear features (namely flattened DNA molecule projections) were considered, and complete data are shown for two of them. Auto

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Chen, Zhixiong, Yilang Shen, Xinlin Lv, Qiaolin Qin, and Xin Chen. "Variable-Scale Visualization of High-Density Polygonal Buildings on a Tile Map." ISPRS International Journal of Geo-Information 11, no. 10 (2022): 505. http://dx.doi.org/10.3390/ijgi11100505.

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To better satisfy user’s needs for the accurate visualization of massive amounts of geographic data, the variable-scale expression of map content based on multilevel data organization has attracted increasing attention. Traditional methods based on vector data usually cannot handle tile data in the form of a grid on the network. Therefore, this paper proposes a variable-scale visualization method for high-density buildings based on a raster tile map. First, the buildings on a tile map are typified on the basis of linear spectral clustering (LSC) superpixel segmentation to reduce the number of

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Klingbell, H., K. Beilenhoff, and H. L. Hartnagel. "A local mesh refinement algorithm for the FDFD method using a polygonal grid." IEEE Microwave and Guided Wave Letters 6, no. 1 (1996): 52–54. http://dx.doi.org/10.1109/75.482069.

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NIEVES-URIBE, SANDRA, JORGE LLORENTE-BOUSQUETS, and ADRIÁN FLORES-GALLARDO. "Exochorionic morphology in two species of white Eurema (Pieridae: Coliadinae) and its taxonomic contrast on Euremina proposals." Zootaxa 5621, no. 1 (2025): 111–30. https://doi.org/10.11646/zootaxa.5621.1.5.

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We described and illustrated the exochorion of six subspecific taxa in two species of Eurema (sensu lato) with white phenotype—E. agave and E. albula—with the staining and scanning electron microscopy (SEM) techniques. We also performed a tabular comparison of our results. We re-examined the description of E. albula ceciliana and inspected its exochorion with SEM. We made SEM photographs in five regions of the chorions of the six subspecies: micropylar, perimicropylar, apical, equatorial, and basal. Their exochorionic characters are considered plesiomorphic among those recorded in another Coli

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Vasilev, Eugene, Dmitry Lachinov, Anton Grishin, and Vadim Turlapov. "Fast tetrahedral mesh generation and segmentation of an atlas-based heart model using a periodic uniform grid." Russian Journal of Numerical Analysis and Mathematical Modelling 33, no. 5 (2018): 315–23. http://dx.doi.org/10.1515/rnam-2018-0026.

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Abstract A fast procedure for generation of regular tetrahedral finite element mesh for objects with complex shape cavities is proposed. The procedure like LBIE-Mesher can generate tetrahedral meshes for the volume interior to a polygonal surface, or for an interval volume between two surfaces having a complex shape and defined in STL-format. This procedure consists of several stages: generation of a regular tetrahedral mesh that fills the volume of the required object; generation of clipping for the uniform grid parts by a boundary surface; shifting vertices of the boundary layer to align ont

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Tikhomirova, T. A., G. T. Fedorenko, K. M. Nazarenko, and E. S. Nazarenko. "FRACTAL SURFACE INTERPOLATION BASED ON CLASSICAL SUBDIVISION SCHEMES." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 199 (January 2021): 28–35. http://dx.doi.org/10.14489/vkit.2021.01.pp.028-035.

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A method to create a differentiable complex shapes from simple polygonal models is proposed. It is shown that classical schemes of “smooth” subdivision can be obtained from local self-similarity ratios if “deflection arrows” are scaled as s2, where s is the linear compression coefficient calculated for a flat regular grid of the same structure. The surfaces obtained by a smooth subdivision do not contain sharp features other than the vertices and edges of the original model, so in order to create a surface of more exotic shape one must use more complex model. The article describes an alternati

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Ettrich, N., K. Steiner, M. Thomas, and R. Rothe. "Surface models for coupled modelling of runoff and sewer flow in urban areas." Water Science and Technology 52, no. 5 (2005): 25–33. http://dx.doi.org/10.2166/wst.2005.0101.

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Traditional methods fail for the purpose of simulating the complete flow process in urban areas as a consequence of heavy rainfall and as required by the European Standard EN-752 since the bi-directional coupling between sewer and surface is not properly handled. The new methodology, developed in the EUREKA-project RisUrSim, solves this problem by carrying out the runoff on the basis of shallow water equations solved on high-resolution surface grids. Exchange nodes between the sewer and the surface, like inlets and manholes, are located in the computational grid and water leaving the sewer in

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Cucini, Alessio. "High-Frequency Green's Function for Planar Periodic Phased Arrays With Skewed Grid and Polygonal Contour." IEEE Transactions on Antennas and Propagation 54, no. 12 (2006): 3659–68. http://dx.doi.org/10.1109/tap.2006.886521.

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Gantes, C. J., R. D. Logcher, J. J. Connor, and Y. Rosenfeld. "Geometric Design of Deploybale Structures with Discrete Joint Size." International Journal of Space Structures 8, no. 1-2 (1993): 107–17. http://dx.doi.org/10.1177/0266351193008001-211.

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This paper presents further developments in the geometric design of deployable structures that are self-standing and stress-free in both the deployed and collapsed configurations. The basic geometric design philosophy of these structures has been explained in previous publications. Furthermore, guidelines for the geometric design of polygonal and trapezoidal units for flat and curved structures have been proposed. The size of the joints has been assumed to be infinitesimally small. In reality however, the joints have certain discrete dimensions that have to be taken into account. This paper pr

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Martorana, Raffaele, Patrizia Capizzi, and Calogero Pirrera. "Unconventional Arrays for 3D Electrical Resistivity and Induced Polarization Tomography to Detect Leachate Concentration in a Waste Landfill." Applied Sciences 13, no. 12 (2023): 7203. http://dx.doi.org/10.3390/app13127203.

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In recent times, 3D electrical resistivity and induced polarization tomographies are being used more frequently. However, it is often not possible to have regular grids of electrodes due to irregular topography, difficulty accessing urbanized or industrialized places, and other environmental and health problems. In these cases, the use of unconventional arrays is necessary, arranging the electrodes around the inaccessible area according to one or more open or closed polygonal traces. In this work, three different perimeter arrangements of electrodes are considered, and, for each, three differe

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Wu, Xiaohui, Yanping Chen, and Yang Wang. "Error analysis of two-grid virtual element method for nonlinear parabolic problems on general polygonal meshes." Journal of Computational and Applied Mathematics 459 (May 2025): 116369. http://dx.doi.org/10.1016/j.cam.2024.116369.

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De Lucia, Marco, Chantal de Fouquet, Vincent Lagneau, and Roberto Bruno. "Equivalent block transmissivity in an irregular 2D polygonal grid for one-phase flow: A sensitivity analysis." Comptes Rendus Geoscience 341, no. 4 (2009): 327–38. http://dx.doi.org/10.1016/j.crte.2008.11.014.

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Mwanda Mizengi, Léon, and André Mampuya Nzita. "Comparative Analysis of Lattice Pylons and Polygonal Monopods in the SNEL SA Electricity Network." IgMin Research 3, no. 3 (2025): 115–22. https://doi.org/10.61927/igmin291.

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This research was conducted to compare the use of lattice towers and polygonal monopods in the electricity grid infrastructure of the National Society of Electricity (SNEL SA) in the Democratic Republic of Congo. In the face of vandalism and increasing energy demand, it is crucial to analyze the security and reliability of the infrastructure. The study used an analytical approach, including geometric assessments and simulations with Impax software to model the performance of the towers. The results showed that monopods offer significant advantages in terms of resistance to vandalism, maintenan

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Cucini, A., and S. Maci. "A compact formula for the array factor of planar phased arrays with polygonal shape and skewed grid." IEEE Antennas and Wireless Propagation Letters 1 (2002): 138–41. http://dx.doi.org/10.1109/lawp.2002.806760.

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Е.В., Страшнов, та Финагин Л.А. "Определение коллизий аппроксимирующих сфер с рельефом местности". Труды НИИСИ РАН 9, № 5 (2020): 111–18. http://dx.doi.org/10.25682/niisi.2019.5.0016.

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В работе рассматривается задача определения пересечения аппроксимирующих сфер с рельефом местности, заданным в виде полигональной сетки. Для решения этой задачи предлагается подход, основанный на построении регулярной прямоугольной сетки высот. При таком подходе проверка на пересечение выполняется между аппроксимирующей сферой и ячейками сетки высот, которые в зависимости от типа рельефа являются прямоугольниками или четырехугольниками. Предлагаемые в статье алгоритмы определения коллизий основаны на вычислении проекции центра сферы на ячейку сетки высот и сортировки контактных точек по глубин

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Bettinger, Pete, Gay A. Bradshaw, and George W. Weaver. "Effects of geographic information system vector–raster–vector data conversion on landscape indices." Canadian Journal of Forest Research 26, no. 8 (1996): 1416–25. http://dx.doi.org/10.1139/x26-158.

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The effects of geographic information system (GIS) data conversion on several polygon-and landscape-level indices were evaluated by using a GIS vegetation coverage from eastern Oregon, U.S.A. A vector–raster–vector conversion process was used to examine changes in GIS data. This process is widely used for data input (digital scanning of vector maps) and somewhat less widely used for data conversion (output of GIS data to specific formats). Most measures were sensitive to the grid cell size used in the conversion process. At the polygon level, using the conversion process with grid cell sizes o

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Steppeler, J., and J. B. Klemp. "Advection on Cut-Cell Grids for an Idealized Mountain of Constant Slope." Monthly Weather Review 145, no. 5 (2017): 1765–77. http://dx.doi.org/10.1175/mwr-d-16-0308.1.

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Abstract Cut cells use regular or nearly regular polygonal cells to describe fields. For a given orography, some cells may be completely under the mountain, some completely above the mountain, and some are partially filled with air. While there are reports indicating considerably improved simulations with cut cells, inaccuracies may arise with some approximations, producing noise in fields near the surface. This behavior may depend strongly on the approximations made for the advection terms near the surface. This paper investigates the accuracy of advection for numerical schemes for a nondiver

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