Spatial Distribution Visualization Using Variable Line Thickness

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Solution Overview

Problem

Existing mapping technologies face challenges in effectively visualizing large scales of spatial data, leading to cognitive overload, clutter, and inefficient use of screen space, particularly when dealing with multiple distributions or changes over time, as they struggle to preserve spatial information and distinguish between different densities and distributions.

Innovation Solution

A novel mapping method that determines geographical boundaries, divides them into regions of interest, and represents parameter density through varying line thicknesses, allowing for easy interpretation and visualization of multiple distributions within a single view, while preserving spatial information and reducing clutter.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Quantity of substance

If multiple distributions are overlaid on a map using traditional heatmap or choropleth methods, then more parameters can be visualized, but the result becomes difficult to interpret due to color confusion and clutter

Engineering Contradiction:
Improvenumber of distributions visualizedVSAvoidinterpretability of visualization
Core Design Contradiction:
Quantity of substanceVSEase of operation

Solution Approach 1:

The patent segments multiple distributions by assigning each distribution to a separate geometric outline rather than overlaying them with different colors. Each outline represents a distinct distribution and is divided into segments that can be individually analyzed, eliminating the color confusion inherent in traditional overlay methods.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent transitions from two-dimensional color-based encoding to a third-dimensional approach by varying the thickness of geometric outlines. This dimensional change allows multiple distributions to be visualized simultaneously without color interference, as each distribution's density is represented by the thickness of its corresponding outline.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Ease of operation

If small multiples of geo-visualizations are used to compare multiple distributions, then interpretability improves, but screen space efficiency decreases and details are lost

Engineering Contradiction:
Improveinterpretability of visualizationVSAvoidscreen space utilization
Core Design Contradiction:
Ease of operationVSArea of stationary object

Solution Approach 1:

The patent merges multiple distributions into a single unified visualization by representing each distribution as a geometric outline within the same geographic boundary. This consolidation allows all distributions to be compared simultaneously in one view, eliminating the need for multiple separate visualizations while preserving screen space.

Inventive Principle:
Principle #5Merging (Combining)

3Loss of information

If line thickness is used to represent density, then spatial information is preserved and multiple distributions can be shown, but the method becomes more complex

Engineering Contradiction:
Improvespatial information preservationVSAvoidvisualization method complexity
Core Design Contradiction:
Loss of informationVSDevice complexity

Solution Approach 1:

The patent changes the visual parameter from color intensity to line thickness to represent density. This parameter change allows spatial information to be preserved while enabling the visualization of multiple distributions, as thickness can be varied independently for each distribution's geometric outline without the confusion of overlapping colors.

Inventive Principle:
Principle #35Parameter changes

Data Source

PatentUS11450039B2Visualization of spatial distributions
Publication Date: 2022.09.20 PURDUE RES FOUND
  • US11450039B2 patent drawing
  • US11450039B2 patent drawing
  • US11450039B2 patent drawing

AI summary

A mapping method for identifying density which includes determining at least one geographical boundary about a geographical location of interest, the at least one geographical boundary is free of any self-intersections, dividing the at least one geographical boundary into a plurality of regions of interests, each region of interest is defined by a start point and an end point on the at least one geographical boundary, wherein the end point associated with one region of interest coincides with a start point of a neighboring region of interest wherein the region of interest falls within the at least one geographical boundary, for each of the plurality of regions of interest, calculating at least one parameter of interest within the region of interest, and graphically presenting a segment between the start point and the end point on the at least one geographical boundary with a line thickness proportional to the calculation results.