2011
DOI: 10.1007/978-3-642-23223-7_8
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A Three-Dimensional Modeling Method for Irregular Columnar Joints Based on Voronoi Graphics Theory

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Cited by 3 publications
(3 citation statements)
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“…The Voronoi diagram defined by mathematician Voronoi in the early twentieth century received attention as a very useful diagram that can explain phenomena and structures in nature. It is used in the form generation process of architecture, jewelry, and industrial design, as well as in various other fields such as computer engineering, meteorology, geology, topography, archeology, medical science, molecular chemistry, and ecology (Kim and Kim, 2006;Zheng et al, 2011;Fantini et al, 2016). The Voronoi diagram is an outcome of specific space division whereby, starting from a discontinuous point referred to as the "site, " all cells are comprised of points that are closer to the generation seed (Lautensack, 2008;Malinauskas, 2008;Phillips, 2014).…”
Section: Parametric Designmentioning
confidence: 99%
“…The Voronoi diagram defined by mathematician Voronoi in the early twentieth century received attention as a very useful diagram that can explain phenomena and structures in nature. It is used in the form generation process of architecture, jewelry, and industrial design, as well as in various other fields such as computer engineering, meteorology, geology, topography, archeology, medical science, molecular chemistry, and ecology (Kim and Kim, 2006;Zheng et al, 2011;Fantini et al, 2016). The Voronoi diagram is an outcome of specific space division whereby, starting from a discontinuous point referred to as the "site, " all cells are comprised of points that are closer to the generation seed (Lautensack, 2008;Malinauskas, 2008;Phillips, 2014).…”
Section: Parametric Designmentioning
confidence: 99%
“…These research results indicate that the characteristics of columnar jointed rock mass are very complex with anisotropic and nonlinear properties. Most of the modelling methods of columnar jointed rock mass use the program developed by Zheng et al [14]; however, this method has some shortcomings, such as a low efficiency and immutable columnar shapes, as pointed out in Reference [20]. The objective of this paper is to overcome these shortcomings in the generation of columnar joints in rock mass.…”
Section: Typical Shapes Of Columnar Jointed Rock Massmentioning
confidence: 99%
“…Meng systematically analyzed the anisotropic properties of columnar jointed basalt using analytical and numerical methods [13]. Zheng et al proposed a 3-D modeling method for columnar basalt using random Voronoi tessellation [14]. In References [15][16][17], 2-D and 3-D discrete element simulation methods of columnar are implemented, and the representative elementary volume scale and equivalent mechanical parameters are obtained.…”
Section: Introductionmentioning
confidence: 99%