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• W1569303153 abstract "Applications in cartography, computer graphics and computer aided engineering require the representation and manipulation of planar subdivisions. Topology-oriented approaches represent the relations existing between the vertices, edges and faces of a planar subdivision. We extend this standard approach by decomposing the faces into trapezoidal views. By defining a neighborhood relation among the views we obtain the view graph which forms the basis of the quad view data structure — a new data structure for representing planar subdivisions. We present some basic operations on this data structure, and we show how it can be used to traverse a planar subdivision. Furthermore we sketch an algorithm for overlaying planar subdivisions represented by the quad view data structure. This algorithm is optimal for simply connected planar subdivisions: its time and storage requirements are linear in the size of the output subdivision. Finally we apply this overlay algorithm to implement locational vector-based map overlay operations." @default.
• W1569303153 created "2016-06-24" @default.
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• W1569303153 date "1995-01-01" @default.
• W1569303153 modified "2023-09-27" @default.
• W1569303153 title "The quad view data structure — a representation for planar subdivisions" @default.
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• W1569303153 doi "https://doi.org/10.1007/3-540-60159-7_3" @default.
• W1569303153 hasPublicationYear "1995" @default.
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