A Simple Pipeline for Coherent Grid Maps

Abstract

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Multicriteria Optimization for Dynamic Demers Cartograms

“…Various other techniques are similar to DCs, using squares or rectangles for geospatial information. Examples include algorithms and computational experiments for grid maps [21], [22], [23]. Of particular relevance is the work of Inoue for circle [24] and simpleshaped [25] area cartograms, which they construct using a non-linear constraint programs.…”

Computing Schematic Layouts for Spatial Hypergraphs on Concentric Circles and Grids

“…However, space is generally multi‐faceted: beyond location, we can for example also consider maintaining distances or directions between vertices, or neighbourhoods. In the context of grid maps, displacement has been shown to be a good proxy for such other considerations [EvKSS15, MDS*17, MSS21]. We assume a similar relationship here, using displacement as a general proxy for other facets of the spatial dimension as well, in order to simplify algorithmic consideration.…”

“…[vG16, Meu14]. A grid map [MSS21, Sli18] can be seen as an extreme form of schematization, where every region (or element) is turned into a square in a grid; theoretical considerations for such systems in connecting cells can be found [vGKvK*17], though the results have not (yet) been shown to be efficacious to visualize sets. It has been shown that such grid maps allow better perception of local details, though other tasks may be supported less well [Sch21].…”

On the Use of ‘Glyphmaps’ for Analysing the Scale and Temporal Spread of COVID-19 Reported Cases

“…There are several options for incorporating spatial context within our designs. In the top row of Figure 5 are three candidates: an 'exact' arrangement, with local authorities positioned according to their true geographic location (at local authority centroids), a continuous area cartogram layout with local authorities distorted according to population size [37]; and a semi-spatial ordering with local authorities of regular size and geometry (grid squares) but with an approximate spatial arrangement (e.g., [38,39]). Each is presented using the ridge contour design and encoding described in Figure 4 and with accompanying encoding schematics.…”

“…Departing from England's familiar geometry means an additional overhead in terms of learning the layout. Additionally, due to the fact that regular squares are used, not all adjacency relationships between local authorities are preserved [38][39][40][41]. This fact is likely to interfere with judgements around spatial dependence, which as demonstrated by the Washington Post graphic [19], is an important factor when monitoring the spread and development of COVID-19.…”