2011
DOI: 10.1080/13658811003601430
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Toward 3D spatial dynamic field simulation within GIS using kinetic Voronoi diagram and Delaunay tetrahedralization

Abstract: Geographic information systems (GISs) are widely used for representation, management, and analysis of spatial data in many disciplines. In particular, geoscientists increasingly use these tools for data integration and management purposes in many environmental applications, ranging from water resources management to the study of global warming. Beyond these capabilities, geoscientists need to model and simulate three-dimensional (3D) dynamic fields and readily integrate those results with other relevant spatia… Show more

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Cited by 19 publications
(10 citation statements)
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“…This alternative DTI projection is called tractography and even though it only shows the fluid carrying in the fiber tracks the datastructures used to represent the 3D composite is in a 3D pixel space, or "voxel." An alternative vector space or as continuous fields in geo-spatial computation could be used to represent only the regions on interest (Mostafavi et al, 2010;Beni et al, 2011).…”
Section: D Analysis Vs 3d Reconstructionsmentioning
confidence: 99%
“…This alternative DTI projection is called tractography and even though it only shows the fluid carrying in the fiber tracks the datastructures used to represent the 3D composite is in a 3D pixel space, or "voxel." An alternative vector space or as continuous fields in geo-spatial computation could be used to represent only the regions on interest (Mostafavi et al, 2010;Beni et al, 2011).…”
Section: D Analysis Vs 3d Reconstructionsmentioning
confidence: 99%
“…Directional HOI is about relative positioning properties with distance information. Despite the importance of direction in spatio-temporal analysis, directional HOI has attracted no attention even though some studies investigated and applied geometrical HOI [2], [3], [4] and topological HOI [5].…”
Section: Introductionmentioning
confidence: 99%
“…HOI for "whatif" analysis allows users to deal with the complexity of trajectory analysis especially when HOI is required. HOI for trajectory analysis has received little attention in the literature [2], [3], and existing research focuses on geometrical HOI. Directional HOI for trajectory is of particular interest when direction plays a critical role.…”
Section: Introductionmentioning
confidence: 99%
“…Using the parameters of the 3D Voronoi cell, each particle can be assigned a certain importance according to its volume, surface area or their reciprocal and their combination (Equations (2) and (3)). In actual applications, a certain density or tension can be imposed on the 3D Voronoi cell to control these parameters [18].…”
Section: Importance Valuementioning
confidence: 99%
“…The analysis of spatial points has recently been simplified with the development of computer recognition programs and visualization methods that can identify spatial points based on their spatial and temporal characteristics [15][16][17][18][19]. The resulting dataset, which is a set of points distributed in space, is known as a spatial point pattern.…”
Section: Introduction and Literature Reviewmentioning
confidence: 99%