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Flow maps are thematic maps that visualize object movements across space witha tree layout, in which the underlying tree structure is similar to a naturalriver system. In this paper, we present a novel and automated approach namedRFDA-FM for flow maps from one origin to multiple destinations using a riverextraction algorithm in digital elevation models (DEM). The RFDA-FM firstmodels the mapping space as a flat surface by a DEM. A maze-solving algorithm(MSA) for river extraction is then adapted to calculate the flow path from onedestination to the origin by constraining its searching directions, directionweights, and searching ranges according to the quality criteria of flow maps.All flow paths from the destinations to the origin are obtained iterativelybased on the MSA according to their importance, which is defined by consideringtheir length. Finally, these paths are smoothly rendered with varying widthsaccording to their volume using B\'ezier curves. A comparison with existingapproaches indicates that the flow maps generated by RFDA-FM can be better atkeeping nodes away from edges without node overlaps and edge crosses. Twoextension experiments demonstrate that RFDA-FM is applicable to heterogeneousmapping space or mapping space with obstacle areas. The parameter analysisshows that RFDA-FM can intuitively control the layouts of flow maps. Projectwebsite: https://github.com/TrentonWei/FlowMap

From river flow to spatial flow: flow map via river flow directions assignment algorithm