An Algorithm for the Generation of Voronoi Diagrams on the Sphere Based on QTM

Chen, Jun; Zhao, Xuesheng; Li, Zhilin

doi:10.14358/pers.69.1.79

Cited by 31 publications

(24 citation statements)

References 20 publications

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“…The method in this paper is similar to the edge-neighbour searching method proposed by [Chen et al 2003]. We classify the grids in one octant into seven categories (see Figure 4) according to their locations as they do.…”

Section: Neighbour Searching Methodsmentioning

confidence: 99%

“…But additional steps such as decompose, calculation, remove and compose made this algorithm and data structure more complex. What's more, it's very difficult to deal with the hierarchical expression of large quantities of the spherical data [Chen et al 2003]. …”

Section: Algorithms In Vector Modementioning

confidence: 99%

“…However, these raster-based algorithms are limited to a plane and cannot be translated to a spherical surface directly because planar and spherical spaces are not homeomorphous [Chen et al 2003]. …”

Section: Algorithms In Raster Modementioning

confidence: 99%

“…[ Chen et al 2003] proposed a QTM-based algorithm to generate Voronoi diagrams on the sphere. develop a spherical Voronoi algorithm based on hexagonal grid.…”

Section: Algorithms In Raster Modementioning

confidence: 99%

“…Recently, with the development of digital earth, Voronoi diagram on the spherical surface has become an active topic and has been applied to areas like global spatial indexing, sphere interpolation, dynamic operation, etc [Chen et al 2003]. Many researchers have developed algorithms for generating Voronoi diagrams on the sphere.…”

Section: Introductionmentioning

confidence: 99%

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A GPU-Based Algorithm for the Generation of Spherical Voronoi Diagram in QTM mode

Wang

Zhao

Cao

et al. 2013

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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ABSTRACT:The spherical Voronoi diagram is a type of the global data model in Digital Earth which has become increasingly important and a lot of efforts have been done to develop the algorithms. However, most of the prior works were in vector mode and based on point sets. Recently, some approximation raster-based algorithms were presented which can generate spherical Voronoi diagrams for point, curve, and face sets easily. However, almost all these raster-based algorithms are based on dilation operation and the dilation errors increase greatly with the growth of dilation steps. To overcome this deficiency, a novel GSG-based algorithm for generating spherical Voronoi diagram is proposed in this paper. In our algorithm, distance computation and comparison based on GPU are used instead of dilation operation to diminish the Voronoi error and improve the efficiency. Results show that line sets and area sets can be handled as well as point sets in this algorithm and the Voronoi error can be limited within half of one grid. Additionally, the efficiency for generating spherical Voronoi diagram is improved greatly.

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Section: Neighbour Searching Methodsmentioning

confidence: 99%

Section: Algorithms In Vector Modementioning

confidence: 99%

Section: Algorithms In Raster Modementioning

confidence: 99%

“…[ Chen et al 2003] proposed a QTM-based algorithm to generate Voronoi diagrams on the sphere. develop a spherical Voronoi algorithm based on hexagonal grid.…”

Section: Algorithms In Raster Modementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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