2016
DOI: 10.1080/13658816.2016.1140770
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SPLITAREA: an algorithm for weighted splitting of faces in the context of a planar partition

Abstract: Geographic data themes modelled as planar partitions are found in many GIS applications (e.g. topographic data, land cover, zoning plans, etc.). When generalizing this kind of 2D map, this specific nature has to be respected and generalization operations should be carefully designed. This paper presents a design and implementation of an algorithm to perform a split operation of faces (polygonal areas). The result of the split operation has to fit in with the topological data structure supporting variable-scale… Show more

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Cited by 17 publications
(47 citation statements)
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“…Step 1: The LN patch is segmented using the construction of a constrained Delaunay triangle mesh. The triangles of a Delaunay triangle mesh may be classified according to the number of neighboring triangles they have inside the polygon (Delucai & Black, ; Meijers, Savino, & van Oosterom, ).…”
Section: Related Workmentioning
confidence: 99%
See 1 more Smart Citation
“…Step 1: The LN patch is segmented using the construction of a constrained Delaunay triangle mesh. The triangles of a Delaunay triangle mesh may be classified according to the number of neighboring triangles they have inside the polygon (Delucai & Black, ; Meijers, Savino, & van Oosterom, ).…”
Section: Related Workmentioning
confidence: 99%
“…Step 1: The LN patch is segmented using the construction of a constrained Delaunay triangle mesh. The triangles of a Delaunay triangle mesh may be classified according to the number of neighboring triangles they have inside the polygon (Delucai & Black, 1987;Meijers, Savino, & van Oosterom, 2016). Type I triangles: These triangles only have one adjacent triangle, and two of the edges that compose a Type I triangle are also the edges of a polygon.…”
Section: The Principles Of Partition Line Extraction Via Constrainementioning
confidence: 99%
“…Jiang et al [17] presented a dot symbol filling method for the complex land-type areas based on a simple polygonal segmentation. The basic idea of the method is constructing constrained Delaunay triangulation [18] for complex areas, and a simplex segmentation is performed, such that the narrow area and the two-dimensional extension area of a polygon can be distinguished according to the geometric features of the polygon. Then, various strategies are designed to fill the dot symbols according to the characteristics of different parts of the polygon.…”
Section: Existing Dot Symbols Filling Methodsmentioning
confidence: 99%
“…It is obvious that the split lines at the single nodes in these figures do not satisfy the aforementioned constraint imposed by the connecting nodes of adjacent polygon boundaries, thus the split lines need topology correction. The most common method of split line topology correction is the closest point method [26] and the triangulation supplement method [27]. However, these two methods have less consideration for the extension nature of boundary lines.…”
Section: Topology Correction For Nodes With Degreementioning
confidence: 99%