TL;DR: It is inferred from the comparative error analysis that the proposed morphology-based approach could be further extended by exploring the applicability of additional characteristics of B, which controls the dilation propagation speed and direction of dilation while performing weighted skeletonization by zone of influence, to minimize the local shape errors and area errors.
Abstract: Visualization of geographic variables as spatial objects of size proportional to variable strength is possible via generating cartograms. We developed a methodology based on mathematical morphology to generate contiguous cartograms. This methodology relies on weighted skeletonization by zone of influence. This weighted skeletonization by zone of influence determines the points of contact of multiple frontlines propagating from centroids of various planar sets (states) at the traveling rates depending upon the variable’s strength. The contiguous cartogram generated via this morphology-based algorithm preserves the global shape and local shapes and yields minimal area errors. We generated a cartogram for a population variable to demonstrate the proposed approach. Furthermore, the population cartograms for the United States generated via four other approaches are compared with the morphology-based cartogram in terms of errors with respect to area, local shape, and global shape. This approach for generating c...
TL;DR: In this paper, a gridded cartogram approach is introduced and illustrated with examples drawn from data documenting globally significant earthquakes that have occurred since 2150 BC, where each individual grid cell is resized according to specific quantitative information.
Abstract: The assessment of natural events that can turn into disasters where people live is usually accompanied by maps visualising the specific topic in its spatial setting and putting the physical environment into the main focus. Such conventional mapping approaches, however, can often fail to give an intuitive understanding of the underlying quantitative dimension of the associated risk to people and a fuller appreciation of the interrelation between humans and their natural environment. The method presented here demonstrates an alternative way of mapping environmental risk. A gridded cartogram approach is introduced and illustrated with examples drawn from data documenting globally significant earthquakes that have occurred since 2150 BC. Gridded cartograms are a new map projection. They are created by starting with an equally distributed grid onto which a density-equalising cartogram technique is applied. Each individual grid cell is resized according to specific quantitative information. The underlying grid ...
TL;DR: An alternative visual representation looking at paths from different perspectives that allows one to explore the nature of single or multiple movements and the option to compare multiple movements gives the solution its unique character.
Abstract: To understand the nature of movement data, we introduce an alternative visual representation looking at paths from different perspectives. The movements and their stops are schematized into lines. These are distorted based on time or distance by applying line cartogram principles to answer specific location- or time-based questions. A prototype consisting of multiple linked views, including the line cartograms and a map, is implemented in a web environment using D3.js. It allows one to explore the nature of single or multiple movements. The option to compare multiple movements gives the solution its unique character. A preliminary evaluation of the product shows it is able the answer questions related to time and space accordingly.
TL;DR: In this article, the authors describe the first algorithm for the automated creation of sea regions for rectangular cartograms and present results obtained with their method, which can be used to construct sea regions.
Abstract: In a rectangular cartogram, each region of a map is represented by a rectangle whose area is proportional to some statistical data of interest. Current techniques for constructing rectangular cartograms partition a large rectangle (the map) into a set of smaller rectangles which correspond to land or sea regions. The position and size of sea rectangles determine the outline of land masses. Therefore, sea regions have a direct impact on the recognizability and, thus, on the visual quality of cartograms. In this paper, we describe the first algorithm for the automated creation of sea regions for rectangular cartograms and present results obtained with our method.
TL;DR: S spatially-constrained small-multiples are demonstrated to show geographical variation, their combination with a Gastner population cartogram projection to normalise with respect to population, and a fuzziness parameter when producing fuzzy-sets is explored.
Abstract: We explore some ideas around quantifying and visualising classification uncertainty within a geodemographic classifier. We demonstrate spatially-constrained small-multiples to show geographical variation, their combination with a Gastner population cartogram projection to normalise with respect to population, explore a fuzziness parameter when producing fuzzy-sets, and look at implications of taking into account this uncertainty when profiling population, finding that this can have significant effects that are worth investigating further.
TL;DR: The present research describes the combination of established GIS methods and software tools to produce a novel technique of visualising disease admissions, CartIS, in a health service context with the key aim of improving visualisation communication techniques which highlight variation in small scale geographies across large regions.