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Relevant bibliographies by topics / Polygonal grid

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Academic literature on the topic 'Polygonal grid'

Author: Grafiati

Published: 5 June 2025

Last updated: 15 July 2025

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Journal articles on the topic "Polygonal grid"

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 consideration. Aiming to solve this problem, we use the features of context and texture of polygons, since they are basic visual perception elements, to fit the cognition purpose. In this paper, we propose a contour diffusion method for the similarity measurement of polygons. By converting a polygon into a grid representation, the contour feature is represented as a multiscale statistic feature, and the region feature is transformed into condensed grid of context features. Instead of treating shape similarity as a distance between two representations of polygons, the proposed method observes similarity as a correlation between textures extracted by shape features. The experiments show that the accuracy of the proposed method is superior to that of the turning function and Fourier descriptor.

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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. Calculations showed that the storage of a polygonal metric grid requires 16 GB less than that of all auxiliary information (attributes and spatial reflection of the zone of influence of each factor) required for modeling. Thus, the technological effect of the introduction of a polygonal metric grid method into the process of cadastral valuation of real estate makes it possible to make efficient use of computing power, as well as to reduce the time for recalculating the values of pricing factors if some new objects of valuation emerge.

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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 sphere. The advantage of the cubed sphere is that it does not admit the computational modes of the hexagonal or triangular C-grids. On various shallow-water test cases, the non-orthogonal scheme on a cubed sphere has accuracy less than or equal to the orthogonal scheme on an orthogonal hexagonal icosahedron. A new diamond grid is presented consisting of quasi-uniform quadrilaterals which is more nearly orthogonal than the equal-angle cubed sphere but with otherwise similar properties. It performs better than the cubed sphere in every way and should be used instead in codes which allow a flexible grid structure.

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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 sphere. The advantage of the cubed sphere is that it does not admit the computational modes of the hexagonal or triangular C-grids. On various shallow-water test cases the non-orthogonal scheme on a cubed sphere has accuracy less than or equal to the orthogonal scheme on an orthogonal hexagonal icosahedron. A new diamond grid is presented consisting of quasi-uniform quadrilaterals which is more orthogonal than the equal-angle cubed sphere but with otherwise similar properties. It performs better than the cubed sphere in every way and should be used instead in codes which allow a flexible grid structure.

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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 recent field studies. We analyze seasonal dynamics of water table variations and the landscape response under different scenarios of precipitation income. We upscale methane fluxes by using a simple idealized model for methane emission. Hydraulic interconnectivities and large-scale drainage may also be investigated through percolation properties and thresholds in the Voronoi graph. The model captures the main statistical characteristics of the landscape topography, such as polygon area and surface properties as well as the water balance. This approach enables us to statistically relate large-scale properties of the system taking into account the main small-scale processes within the single polygons.

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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 study and analyze modern collision detection methods. The article considers traditional algorithms based on computational geometry, such as algorithms for separating planes and spherical enclosing volumes, and modern methods that take advantage of parallel computing and machine learning. Their advantages and disadvantages are analyzed and compared, as well as their usage in various applications. It is shown that methods for solving problems of collision of objects with a polygonal grid are an important tool for creating interactive applications. The development and optimization of those methods continues, and they will be applicable in computer graphics and visualization projects. The methods are used in many different applications, including games, simulations, and visualization. To ensure high accuracy and speed, modern methods of collision with a polygonal grid attempt to combine the advantages of various methods of geometry and physics. The article will be of value for researchers and practitioners seeking to improve collision detection methods, as well as for developers interested in optimizing virtual simulations and creating more interactive and believable digital environments.

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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 attributable to sampling, but is due to changes in the representation of physical processes important to TC intensity. The most apparent changes in simulated TC structure with resolution occur near a grid length of 4 km. At 4-km grid spacing and below, polygonal eyewall segments appear, suggestive of breaking vortex Rossby waves. With sub-4-km grid lengths, localized, intense updraft cores within the eyewall are numerous and both polygonal and circular eyewall shapes appear regularly. Higher-resolution simulations produce a greater variety of shapes, transitioning more frequently between polygonal and circular eyewalls relative to lower-resolution simulations. It is hypothesized that this is because of the ability to resolve a greater range of wavenumbers in high-resolution simulations. Also, as resolution is increased, a broader range of updraft and downdraft velocities is present in the eyewall. These results suggest that grid spacing of 2 km or less is needed for representation of important physical processes in the TC eyewall. Grid-length and domain size suggestions for operational prediction are provided; for operational prediction, a grid length of 3 km or less is recommended.

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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. Unfortunately, the AL81 scheme is restricted to logically square, orthogonal grids, and the S07 scheme is restricted to uniform square grids. The current work extends the AL81 scheme to arbitrary non-orthogonal polygonal grids and the S07 scheme to arbitrary orthogonal spherical polygonal grids in a manner that allows for both total energy and potential enstrophy conservation, by combining Hamiltonian methods (work done by Salmon, Gassmann, Dubos, and others) and discrete exterior calculus (Thuburn, Cotter, Dubos, Ringler, Skamarock, Klemp, and others). Detailed results of the schemes applied to standard test cases are deferred to part 2 of this series of papers.

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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 in OpenGL 3d graphics library.

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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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Dissertations / Theses on the topic "Polygonal grid"

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Lessard, Dominic. "Optimal polygon placement on a grid." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0028/MQ52380.pdf.

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Lessard, Dominic Carleton University Dissertation Computer Science. "Optimal polygon placement on a grid." Ottawa, 2000.

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Spirkin, Anton M. "A three-dimensional particle-in-cell methodology on unstructured Voronoi grids with applications to plasma microdevices." Link to electronic dissertation, 2006. http://www.wpi.edu/Pubs/ETD/Available/etd-050506-145257/.

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Ku, Yuting, and 辜郁庭. "The Solution Method for Incompressible Fluid Flow based on Staggered Polygonal Grid." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/01267988003280624366.

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碩士<br>國立高雄海洋科技大學<br>輪機工程研究所<br>99<br>In this thesis, we attempt to develop a compact and accurate numerical scheme with staggered polygonal grid for incompressible fluid flow in complex domains. The fundamental in our formulation, where the solution gradient required for accurate discretization is computed directly as an additional variable rather then interpolate from solution values at neighboring computational nodes. For solving the solution gradient, a supplementary equation and its associated control volume are introduced to retain a compact and accurate discretization. First, the scheme essentials are exposed by numerical analyses on simple one-dimensional modeled problems to reveal its formal accuracy. Next, the solution procedure extends to the solution procedure to unstructured polygonal grids and investigates effects of grid arrangement on solution accuracy. Final, we employ a staggered polygonal grid to prevent possible pressure checkerboard field and construct feasible pressure-velocity coupling relation in the solution procedure. From the numerical analyses and computational results of test problems, it is found that the present formulation is a useful tool to simulate incompressible flow field in arbitrary domains.

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Pan, Yeng-Feng, and 潘燕峰. "A Pressure Correction Flow Analysis Method Using Unstructured Grids with Arbitrary Polygons." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/67121106260707514078.

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Průšová, Adéla. "Konstrukce mnohoúhelníků s využitím didaktické pomůcky." Master's thesis, 2018. http://www.nusl.cz/ntk/nusl-390443.

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This thesis deals with construction of polygons with use of a didactic aid a geoboard at primary education. I have done analysis of three series of mathematics books in order to know, if they include possibility of mechanical work during construction of polygons. Based on study of professional literature related to teaching mathematics, mainly geometry at primary education, I have created patterns that can be used altogether with geoboard in mathematics. The patterns had been used in three classes thank to this I could have assess their practical use. Then I have corrected wrong instruction of patterns in order to be clear. Next I described three stages of beginning to work with geoboard that I have personally done and that are written in details in protocol. I have concluded didactic potential work with geoboard and theoretical obstacles while geoboard is using.

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Kovář, Luděk. "Zavádění obsahu mnohoúhelníků, zejména metodou uvolňování parametru, v primární škole." Master's thesis, 2017. http://www.nusl.cz/ntk/nusl-346120.

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This thesis deals with the description of constructive approach to teaching mathematics in the third grade of primary school. Teaching mathematics is focused on geometry, specifically on one way of introducing the area of the scalene triangle which describes the relation between a side and its height and corresponding area. In the thesis I describe six particular lessons, their preparation, process of their realization and my own reflections. In these lessons, I analyse some cognitive phenomena as well as social relationships among pupils. Furthermore, I present a detailed examination of tasks from the final diagnostic test, in which I aim towards proving success of this method of teaching mathematics. After four years, I attempt to verify the permanency of the knowledge pupils gained in these particular lessons. I illustrate this by presenting analysis of additional exercises. The whole experimental process was led within the method of releasing parameter. Individual lessons were in accordance with given stages of this method, as described in specialised literature. I verified that the above mentioned method is applicable in teaching mathematics even in the third grade of the primary school. KEYWORDS teachingstyles, perimeter and area, square grid, polygon, method of releasing parameter

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Books on the topic "Polygonal grid"

1

Grip (Polygon Pocketbooks). Polygon, 2001.

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Electromagnetic scattering from a polygonal thin metallic plate using quadrilateral meshing. Langley Research Center, 2003.

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Publishing, Funny Animal. Crocodile Polygon: Gift for Kids, Teenager, Women and Men - Dotted Bullet Grid Notebook / Journal. Independently Published, 2020.

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Crochet More Than 100 Rings, Polygons, Triangles, Cubes, and Other Unexpected Forms Outside the Grid. Independently Published, 2021.

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Publishing, Hillow. Outside the Grid Crochet Design More Than 100 Rings, Polygons, Triangles and Cubes As Well As Other Unexpected Forms. Independently Published, 2021.

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Book chapters on the topic "Polygonal grid"

1

Bhowmick, Partha, Arindam Biswas, and Bhargab B. Bhattacharya. "Isothetic Polygonal Approximations of a 2D Object on Generalized Grid." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11590316_62.

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Hann, M. A., and I. S. Moxon. "Other Polygonal Grids." In Patterns. Routledge, 2018. http://dx.doi.org/10.4324/9781315268842-7.

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Tanigawa, Shin-ichi, and Naoki Katoh. "Polygonal Curve Approximation Using Grid Points with Application to a Triangular Mesh Generation with Small Number of Different Edge Lengths." In Algorithmic Aspects in Information and Management. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11775096_16.

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Icking, Christian, Tom Kamphans, Rolf Klein, and Elmar Langetepe. "Exploring Simple Grid Polygons." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11533719_53.

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Bussmann, Rainer W., Ketevan Batsatsashvili, and Zaal Kikvidze. "Polygonum aviculare L. Polygonum coriarium Grig. Polygonaceae." In Ethnobotany of the Mountain Regions of Central Asia and Altai. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-319-77087-1_108-1.

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Bussmann, Rainer W., Ketevan Batsatsashvili, and Zaal Kikvidze. "Polygonum aviculare L. Polygonum coriarium Grig. Polygonaceae." In Ethnobotany of the Mountain Regions of Central Asia and Altai. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-28947-8_108.

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Nagy, Benedek, and Krisztina Barczi. "Isoperimetrically Optimal Polygons in the Triangular Grid." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21073-0_19.

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Matsekh, Anna, Alexei Skurikhin, Lakshman Prasad, and Edward Rosten. "Numerical Aspects of Spectral Segmentation on Polygonal Grids." In Applied Parallel and Scientific Computing. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28151-8_19.

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Mir-Mohammad-Sadeghi, Hamid, and Benedek Nagy. "On the Chamfer Polygons on the Triangular Grid." In Lecture Notes in Computer Science. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59108-7_5.

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Lee, H. S., and R. C. Chang. "Approximating vertices of a convex polygon with grid points in the polygon." In Algorithms and Computation. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/3-540-56279-6_80.

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Conference papers on the topic "Polygonal grid"

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Zhang, Yongding, Huibin Wang, Chongjie Wang, and Guangshun Yao. "Smooth Path Planning for Unmanned Surface Vehicle in Environments with Unknown Polygonal Obstacles." In 2025 4th International Conference on Smart Grid and Green Energy (ICSGGE). IEEE, 2025. https://doi.org/10.1109/icsgge64667.2025.10984917.

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Engel, Michael, and Marco Körner. "Sentinel-2 Tiling Scheme Grid-Overlay for Efficient I/O-Operations Based on Spherical Voronoi Polygons and Local Optimization." In IGARSS 2024 - 2024 IEEE International Geoscience and Remote Sensing Symposium. IEEE, 2024. http://dx.doi.org/10.1109/igarss53475.2024.10640984.

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Chen, Yong. "Robust and Accurate Boolean Operations on Polygonal Models." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35731.

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We present a new sampling-based method for the efficient and reliable calculation of boundary surface defined by a Boolean operation of given polygonal models. We first construct uniform volumetric cells with sampling points for each geometric element of polygonal models. We then calculate an error-minimizing point in each cell based on a quadratic error function (QEF). Based on a novel adaptive sampling condition, we construct adaptive octree cells such that a QEF point in each cell can capture the shape of all the geometric elements inside the cell. Finally we reconstruct a polygonal model from the volumetric grids and QEF points for approximating the boundary of a solid defined by the Boolean operation. Our method is robust since we can handle different types of topological inconsistency including non-manifold configurations. It is also accurate since we guarantee the boundary approximation has the same topology as the exact surface, and the maximum approximation error from the exact surface is bounded by a user specified tolerance. The efficient hierarchical scheme based on octree enables using sufficient grid resolutions on a commodity PC. We demonstrate our algorithm for a number of test cases and report experimental results.

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Zhang, Yan-hong. "Robust 3D Watermarking Technique for Authentication of 3D Polygonal Medel." In 2010 Sixth International Conference on Semantics Knowledge and Grid (SKG). IEEE, 2010. http://dx.doi.org/10.1109/skg.2010.51.

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STRUIJS, R., P. VANKEIRSBILCK, and H. DECONINCK. "An adaptive grid polygonal finite volume method for the compressibleflow equations." In 9th Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1989. http://dx.doi.org/10.2514/6.1989-1959.

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Necpal, Martin, Marek Vozár, and Jozef Peterka. "EXPLORING THE VERSATILITY OF OPEN-SOURCE SOFTWARE FOR INDUSTRIAL IMAGE PROCESSING: A CASE STUDY." In INTERNATIONAL SYMPOSIUM ON GRAPHIC ENGINEERING AND DESIGN. UNIVERSITY OF NOVI SAD FACULTY OF TECHNICAL SCIENCES DEPARTMENT OF GRAPHIC ENGINEERING AND DESIGN 21000 Novi Sad, Trg Dositeja Obradovića 6, 2024. http://dx.doi.org/10.24867/grid-2024-p38.

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The article investigates the potential applications of free open-source software in image processing for a diverse range of industrial uses, including laser texturing, machining, and additive manufacturing. A case study is presented, wherein digital photography is utilized to capture a scene, followed by processing in the GNU Image Manipulation Program. The processed image in the form of a height map is then imported into the Blender software suite to generate a high-resolution 3D model. The quality of this model is further enhanced using various software functions such as object modifiers, and mesh sculpting. Based on the high-quality 3D model, a high-resolution height map is rendered. Subsequently, the exported height map is utilized for surface modification through laser beam technology and additive manufacturing via fused deposition modeling. This analysis aims to investigate the efficacy and adaptability of open-source software in industrial settings. The article also highlights the steps involved in: 1) capturing an image digitally through photography, 2) creating a 3D artistic relief in Blender, 3) converting the polygonal model of the relief for laser micromachining graphics, and 4) adapting the polygonal model for 3D printing graphics. The study concludes with an evaluation of the results, examining the suitability of use of open-source software for generating relief from photographs for various industrial applications

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Kovalevskiy, Oleg, and Michel Cancelliere. "Performance of ParaView Grids for Reservoir Models Visualization." In 33rd International Conference on Computer Graphics and Vision. Keldysh Institute of Applied Mathematics, 2023. http://dx.doi.org/10.20948/graphicon-2023-199-212.

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Interactive visualization of subterranean formations models is essential for reservoir engineering. ParaView is a good option - it is feature rich, performance oriented, cross-platform and free and open-source. One of the popular formats for reservoir model storage is GRDECL, which fits well with the nature of the reservoir data and yet is memory efficient. ParaView deals with more generic data formats such as image, structured and unstructured grids, polygonal data. GRDECL reservoir data format has features of both structured and unstructured ParaView grids. However, none of them ideally fit. Using structured grid is very economical, but it can lead to losing some information. Unstructured grid provides precise display, however, requires much more resources. This study illustrates quantitative difference between visualizations based on these two grid types and gives considerations for their application.

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Yunhan Yu, Yan Xia, Wei Wang, et al. "Polygonal pixel grid based PET image reconstruction algorithm: Development, application and performance comparison." In 2013 IEEE Nuclear Science Symposium and Medical Imaging Conference (2013 NSS/MIC). IEEE, 2013. http://dx.doi.org/10.1109/nssmic.2013.6829237.

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Pacheco, Taisa B., António F. Carvalho da Silva, and Clovis R. Maliska. "An Element-Based Finite Volume Technique Using IMPES and Fully Implicit Approaches for 3D Oil-Water Flows With Hybrid Grids." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62410.

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The finite volume techniques for solving fluid flow problems can be broadly classified in cell center and cell vertex methodologies. The conventional finite volume techniques belong to the former class, since the elements coming from the grid generator are used as control volumes for performing the balances of the physical quantities, like mass, momentum and energy. The majority of the available methods in the literature uses this type of approach for solving multiphase flows of oil, water and gas in porous media. In petroleum reservoir simulation it is common for the conventional finite volume method to be linked to corner-point grids. This paper presents an Element-based Finite Volume Method (EbFVM), whereby the control volumes are constructed using parts of the elements, generating polygonal meshes in which mass, momentum and energy conservation are enforced. Polygonal meshes considerably reduce the number of unknowns of the linear system when compared with conventional finite volume methods. Three-dimensional hybrid grids are employed for the solution of oil-water flows in a porous media resembling a petroleum reservoir using the IMPES, sequential and fully implicit approaches. The analytical solution of the 1D Buckley-Leverett problem is used for evaluation purposes, and numerical solutions for 2D and 3D problems using unstructured grids are carried out to demonstrate the generality of the method and for comparing the robustness, convergence rate and CPU time of the IMPES and Fully Implicit solutions. Memory usage and convergence rate are also presented for the solution of 3D problems using tetrahedral grids in a cell-center and cell-vertex methodologies.

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Dewani, Rahul, K. Gopakumar, R. Rakesh, Mriganka Ghosh Majumdar, and L. Umanand. "A Novel approach for the analysis of Harmonic Suppression in higher-sided polygonal SV structures." In 2020 IEEE International Conference on Power Electronics, Smart Grid and Renewable Energy (PESGRE). IEEE, 2020. http://dx.doi.org/10.1109/pesgre45664.2020.9070544.

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Reports on the topic "Polygonal grid"

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Gewali, Laxmi, and Simeon Ntafos. Minimum Covers for Grids and Orthogonal Polygons by Periscope Guards. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada225443.

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2

Grant, J. A. SurView - A GIS application for Microsoft Windows for viewing geophysical survey data (line, grid, contour and stacked profiles) and GIS data types (point, line and polygon), version 1.81. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2001. http://dx.doi.org/10.4095/212642.

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