Relevant bibliographies by topics / Discrete Voronoi Diagram

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Discrete Voronoi Diagram'

Author: Grafiati
Published: 6 September 2023
Last updated: 31 July 2025

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Journal articles on the topic "Discrete Voronoi Diagram"

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Kang, Shun. "A Generic Statistics-Based Tessellation Method of Voronoi Diagram." Journal of Systems Science and Information 3, no. 6 (2015): 568–76. http://dx.doi.org/10.1515/jssi-2015-0568.

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AbstractIn terms of distance function and spatial continuity in Voronoi diagram, a generic generating method of Voronoi diagram, named statistical Voronoi diagram, is proposed in this paper based upon statistics with mean vector and covariance matrix. Besides, in order to make good on the discreteness of spatial Voronoi cell, the cross Voronoi cell accomplished the discrete ranges in its continuous domain. In the light of Mahalanobis distance, not only ordinary Voronoi and weighted Voronoi are implemented, but also the theory of Voronoi diagram is improved further. Last but not least, through
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Wang, Hui. "Discrete Construction of Compoundly Weighted Voronoi Diagram." Applied Mechanics and Materials 467 (December 2013): 545–48. http://dx.doi.org/10.4028/www.scientific.net/amm.467.545.

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Compoundly weighted Voronoi diagram is difficult to construct because the bisector is fairly complex. In traditional algorithm, production process is always extremely complex and it is more difficult to graphic display because of the complex definition of mathematic formula. In this paper, discrete algorithms are used to construct compoundly weighted Voronoi diagrams. The algorithm can get over all kinds of shortcomings that we have just mentioned. So it is more useful and effective than the traditional algorithm. The results show that the algorithm is both simple and useful, and it is of high
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Chaidee, S., P. Pakawanwong, V. Suppakitpaisarn, and P. Teerasawat. "INTERACTIVE LAND-USE OPTIMIZATION USING LAGUERRE VORONOI DIAGRAM WITH DYNAMIC GENERATING POINT ALLOCATION." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-2/W7 (September 14, 2017): 1091–98. http://dx.doi.org/10.5194/isprs-archives-xlii-2-w7-1091-2017.

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In this work, we devise an efficient method for the land-use optimization problem based on Laguerre Voronoi diagram. Previous Voronoi diagram-based methods are more efficient and more suitable for interactive design than discrete optimization-based method, but, in many cases, their outputs do not satisfy area constraints. To cope with the problem, we propose a force-directed graph drawing algorithm, which automatically allocates generating points of Voronoi diagram to appropriate positions. Then, we construct a Laguerre Voronoi diagram based on these generating points, use linear programs to a
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Chen, Jie, Gang Yang, and Meng Yang. "Computation of Compact Distributions of Discrete Elements." Algorithms 12, no. 2 (2019): 41. http://dx.doi.org/10.3390/a12020041.

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In our daily lives, many plane patterns can actually be regarded as a compact distribution of a number of elements with certain shapes, like the classic pattern mosaic. In order to synthesize this kind of pattern, the basic problem is, with given graphics elements with certain shapes, to distribute a large number of these elements within a plane region in a possibly random and compact way. It is not easy to achieve this because it not only involves complicated adjacency calculations, but also is closely related to the shape of the elements. This paper attempts to propose an approach that can e
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Oku, Toshinobu. "Characteristics of Discrete Voronoi Diagram with Ambiguous Boundaries." Journal of the City Planning Institute of Japan 42.3 (2007): 463–68. http://dx.doi.org/10.11361/journalcpij.42.3.463.

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OKU, TOSHINOBU. "Characteristics of Discrete Voronoi Diagram with Ambiguous Boundaries." Journal of the City Planning Institute of Japan 42 (2007): 78. http://dx.doi.org/10.11361/cpij1.42.0.78.0.

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Vozáb, Jan, and Jan Vorel. "Generation of LDPM structure formed by Voronoi cells." Acta Polytechnica CTU Proceedings 40 (July 24, 2023): 111–16. http://dx.doi.org/10.14311/app.2023.40.0111.

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A preliminary study of an approach to internal structure generation used in lattice discrete particle models (LDPMs) [1]. The presented method used for particle generation and placement is intended to help realistically capture the internal structure of materials. First, a method for structure generation using LDPM is presented. Then, the method of particle generation using a Voronoi diagram [2] is described. The last part is the optimizations on the algorithm that use Apollonius circles to calculate the specific points of the Voronoi diagram.
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BEREG, SERGEY, KEVIN BUCHIN, MAIKE BUCHIN, MARINA GAVRILOVA, and BINHAI ZHU. "VORONOI DIAGRAM OF POLYGONAL CHAINS UNDER THE DISCRETE FRÉCHET DISTANCE." International Journal of Computational Geometry & Applications 20, no. 04 (2010): 471–84. http://dx.doi.org/10.1142/s0218195910003396.

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Polygonal chains are fundamental objects in many applications like pattern recognition and protein structure alignment. A well-known measure to characterize the similarity of two polygonal chains is the (continuous/discrete) Fréchet distance. In this paper, for the first time, we consider the Voronoi diagram of polygonal chains in d-dimension under the discrete Fréchet distance. Given a set [Formula: see text] of n polygonal chains in d-dimension, each with at most k vertices, we prove fundamental properties of such a Voronoi diagram [Formula: see text]. Our main results are summarized as foll
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Lu, Xiaomin, Haowen Yan, Wende Li, Xiaojun Li, and Fang Wu. "An Algorithm based on the Weighted Network Voronoi Diagram for Point Cluster Simplification." ISPRS International Journal of Geo-Information 8, no. 3 (2019): 105. http://dx.doi.org/10.3390/ijgi8030105.

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Points on maps that stand for geographic objects such as settlements are generally connected by road networks. However, in the existing algorithms for point cluster simplification, points are usually viewed as discrete objects or their distances are considered in Euclidean spaces, and therefore the point cluster generalization results obtained by these algorithms are sometimes unreasonable. To take roads into consideration so that point clusters can be simplified in appropriate ways, the network Voronoi diagram is used and a new algorithm is proposed in this paper. First, the weighted network
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BASCH, JULIEN, HARISH DEVARAJAN, PIOTR INDYK, and LI ZHANG. "PROBABILISTIC ANALYSIS FOR DISCRETE ATTRIBUTES OF MOVING POINTS." International Journal of Computational Geometry & Applications 13, no. 01 (2003): 5–22. http://dx.doi.org/10.1142/s0218195903001050.

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We perform a probabilistic study of discrete attributes of moving points. In our probabilistic model, an item is given an initial position and a velocity drawn independently at random from the same distribution. We study the expected number of changes that happen to the closest pair, the Voronoi diagram, and the convex hull of a set of such moving items.
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Dissertations / Theses on the topic "Discrete Voronoi Diagram"

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Sud, Avneesh Manocha Dinesh N. "Efficient computation of discrete Voronoi diagram and homotopy-preserving simplified medial axis of a 3d polyhedron." Chapel Hill, N.C. : University of North Carolina at Chapel Hill, 2006. http://dc.lib.unc.edu/u?/etd,599.

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Thesis (Ph. D.)--University of North Carolina at Chapel Hill, 2006.<br>Title from electronic title page (viewed Oct. 10, 2007). "... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Computer Science." Discipline: Computer Science; Department/School: Computer Science.
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Bougleux, Sébastien. "Reconstruction, Détection et Régularisation de Données Discrètes." Phd thesis, Université de Caen, 2007. http://tel.archives-ouvertes.fr/tel-00203445.

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Cette thèse traite des problématiques de structuration et de traitement de données discrètes organisées ou non. Elle se décompose en deux parties. La première partie concerne la structuration de données représentées par des ensembles de points du plan ou de l'espace Euclidien. Dans ce contexte, nous considérons les problèmes de la reconstruction polygonale de courbes planaires et de la détection de formes géométriques 3D connues. Ces deux problèmes sont traités par des techniques de géométrie algorithmique et combinatoire, basées sur le diagramme de Voronoï et la triangulation de Delaunay. Dan
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Masood, Talha Bin. "Geometric and Topological Methods for Biomolecular Visualization." Thesis, 2018. http://etd.iisc.ac.in/handle/2005/4300.

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Biomolecules like proteins are the basic building blocks of living systems. It has been observed that the structure of a biomolecule plays an important role in defining its function. In this thesis, we describe novel geometric and topological techniques to understand the structure of molecules. In particular, we focus on the problems related to identification and visualization of cavities and channels in proteins. Cavities refer to empty regions within the molecule, while channels are pathways through the cavities. We pursue an integrated geometric and topological approach towards solving the
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Masood, Talha Bin. "Geometric and Topological Methods for Biomolecular Visualization." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4324.

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Biomolecules like proteins are the basic building blocks of living systems. It has been observed that the structure of a biomolecule plays an important role in defining its function. In this thesis, we describe novel geometric and topological techniques to understand the structure of molecules. In particular, we focus on the problems related to identification and visualization of cavities and channels in proteins. Cavities refer to empty regions within the molecule, while channels are pathways through the cavities. We pursue an integrated geometric and topological approach towards solving the
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Books on the topic "Discrete Voronoi Diagram"

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Transactions On Computational Science Xiv Special Issue On Voronoi Diagrams And Delaunay Triangulation. Springer, 2012.

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Book chapters on the topic "Discrete Voronoi Diagram"

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Devillers, Olivier, and Pierre-Marie Gandoin. "Rounding Voronoi Diagram." In Discrete Geometry for Computer Imagery. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-49126-0_29.

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Zhao, Ye, Shu-juan Liu, and Yi-li Tan. "Discrete Construction of order-k Voronoi Diagram." In Information Computing and Applications. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16167-4_11.

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Tan, Yili, Ye Zhao, and Yourong Wang. "Discrete Construction of Power Network Voronoi Diagram." In Information Computing and Applications. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25255-6_37.

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Barequet, Gill, and Minati De. "Voronoi Diagram for Convex Polygonal Sites with Convex Polygon-Offset Distance Function." In Algorithms and Discrete Applied Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53007-9_3.

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van der Putte, Tom, and Hugo Ledoux. "Modelling Three-Dimensional Geoscientific Datasets with the Discrete Voronoi Diagram." In Lecture Notes in Geoinformation and Cartography. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12670-3_14.

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Dhar, Soumi, and Shyamosree Pal. "A Fast and Efficient Algorithm for Construction of Discrete Voronoi Diagram." In Communications in Computer and Information Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58535-7_25.

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Schwarzkopf, Otfried. "Parallel computation of discrete Voronoi diagrams." In STACS 89. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0028984.

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Hiyoshi, Hisamoto, and Kokichi Sugihara. "An Interpolant Based on Line Segment Voronoi Diagrams." In Discrete and Computational Geometry. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-540-46515-7_10.

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Schmitt, Dominique, and Jean-Claude Spehner. "Order-k Voronoi Diagrams, k-Sections, and k-Sets." In Discrete and Computational Geometry. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-540-46515-7_26.

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Oh, Eunjin. "Optimal Algorithm for Geodesic Nearest-point Voronoi Diagrams in Simple Polygons." In Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2019. http://dx.doi.org/10.1137/1.9781611975482.25.

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Conference papers on the topic "Discrete Voronoi Diagram"

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Saikia, Mayukh, Soumi Dhar, and Shyamosree Pal. "Discrete Voronoi Diagram Construction Using Digital Geometric Approach." In 2024 2nd International Conference on Computer Graphics and Image Processing (CGIP). IEEE, 2024. http://dx.doi.org/10.1109/cgip62525.2024.00017.

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Jianliang, Peng, Zhu Fan, Sun Xiuxia, and Sun Biao. "On Route-Planning of UAV Based on Discrete PSO and Voronoi Diagram." In 2007 Chinese Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/chicc.2006.4347571.

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Dardenne, Julien, Sebastien Valette, Nicolas Siauve, Bassem Khaddour, and Remy Prost. "Exploiting curvature to compute the medial axis with Constrained Centroidal Voronoi Diagram on discrete data." In 2009 16th IEEE International Conference on Image Processing (ICIP 2009). IEEE, 2009. http://dx.doi.org/10.1109/icip.2009.5414401.

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Trefftz, Christian, Byron DeVries, and Benjamin Jenkins. "An Algorithm to solve a Facility Location Problem using a Discrete Approximation to the Voronoi Diagram." In 2021 IEEE International Conference on Electro Information Technology (EIT). IEEE, 2021. http://dx.doi.org/10.1109/eit51626.2021.9491915.

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Kalde, Nassim, Olivier Simonin, and Francois Charpillet. "Asynchronous Computing of a Discrete Voronoi Diagram on a Cellular Automaton Using 1-Norm: Application to Roadmap Extraction." In 2014 IEEE 26th International Conference on Tools with Artificial Intelligence (ICTAI). IEEE, 2014. http://dx.doi.org/10.1109/ictai.2014.130.

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Sequeira, Raul E., and Francoise J. Preteux. "Dynamic algorithm for constructing discrete Voronoi diagrams." In Electronic Imaging: Science & Technology, edited by Edward R. Dougherty, Jaakko T. Astola, and Harold G. Longbotham. SPIE, 1996. http://dx.doi.org/10.1117/12.235832.

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Yamamoto, Yoshihito, Soichiro Okazaki, Hikaru Nakamura, Masuhiro Beppu, and Taiki Shibata. "Crack Propagation and Local Failure Simulation of Reinforced Concrete Subjected to Projectile Impact Using RBSM." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54969.

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In this paper, numerical simulations of reinforced mortar beams subjected to projectile impact are conducted by using the proposed 3-D Rigid-Body-Spring Model (RBSM) in order to investigate mechanisms of crack propagation and scabbing mode of concrete members under high-velocity impact. The RBSM is one of the discrete-type numerical methods, which represents a continuum material as an assemblage of rigid particle interconnected by springs. The RBSM have advantages in modeling localized and oriented phenomena, such as cracking, its propagation, frictional slip and so on, in concrete structures.
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Zhao, Ye, Ya-Jing Zhang, and Qing-Hong Zhang. "Discrete construction of Voronoi diagrams for cross generators." In 2010 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2010. http://dx.doi.org/10.1109/icmlc.2010.5580811.

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Bing Liu. "Discrete construction of voronoi diagrams for intersectant curves." In 2014 IEEE Workshop on Electronics, Computer and Applications (IWECA). IEEE, 2014. http://dx.doi.org/10.1109/iweca.2014.6845579.

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Rong, Guodong, and Tiow-Seng Tan. "Variants of Jump Flooding Algorithm for Computing Discrete Voronoi Diagrams." In 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007). IEEE, 2007. http://dx.doi.org/10.1109/isvd.2007.41.

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