Pixel Cell Map Distortion for Spatial Data Overlap
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Solution Overview
Problem
Conventional geographic maps struggle to effectively visualize high-density spatial data, making it difficult for users to identify and analyze patterns and anomalies, especially in densely populated areas where overlapping data points obscure important information.
Innovation Solution
The method involves plotting geographic locations as pixel cells on a map, determining overlap, distorting the map to prevent overlap, and assigning color values based on multi-paired color maps to represent variables, allowing for interactive visualization and pattern recognition.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If conventional geographic maps are used to display high-density spatial data, then the map structure remains simple and easy to understand, but data points overlap and important information becomes obscured
Solution Approach 1:
The patent transforms the two-dimensional map display into a three-dimensional force-directed graph layout where nodes (data points) are positioned in 3D space and projected onto 2D map. This dimensional transformation allows overlapping points to be separated in the third dimension (height/z-coordinate) while maintaining their geographic correspondence, thus preventing information loss without significantly complicating the visual representation.
Solution Approach 2:
The patent implements a nested structure where force-directed graph clusters are embedded within geographic map regions. Each cluster of overlapping data points is represented as a nested force-directed subgraph that can be independently manipulated and explored, allowing users to drill down into dense areas without losing the broader geographic context.
2Measurement precision
If data points are plotted densely on geographic maps, then comprehensive spatial coverage is achieved, but pattern recognition and anomaly detection become difficult
Solution Approach 1:
The patent segments dense clusters of data points into individual force-directed graph nodes that are spatially separated in 3D space. Each node represents a specific data point and can be individually analyzed, enabling precise pattern detection and anomaly identification even when many data points exist in a small geographic area. The segmentation is achieved through force-directed layout algorithms that repel overlapping nodes apart.
Solution Approach 2:
The patent employs dynamic force-directed graph layouts that automatically adjust node positions based on repulsive and attractive forces. This dynamic positioning allows the system to adaptively separate overlapping data points in real-time, making patterns and anomalies detectable without requiring manual intervention or fixed grid structures.
3Loss of information
If map distortion is applied to prevent pixel cell overlap, then data visibility is improved, but geographic accuracy may be compromised
Solution Approach 1:
Instead of distorting the 2D map geography, the patent introduces a third dimension (vertical/z-axis) to separate overlapping data points. The map projection remains geometrically accurate, while the force-directed graph nodes are positioned at different heights to prevent overlap. This preserves geographic accuracy while achieving data point distinguishability through dimensional extension rather than spatial distortion.
Data Source
AI summary
According to an example, in a method for displaying visual analytics of entity data, geographic locations of entities may be plotted as first pixel cells on a first region and as second pixel cells on a second region of a geographic map. A determination may be made that the first pixel cells have a higher degree of overlap with each other in the first region compared to the second pixel cells in the second region. The geographic map may be distorted to enlarge the first region and the first pixel cells may be arranged in the first region in a manner that prevents the first pixel cells from overlapping each other. A color value for each of the pixel cells may be determined from a multi-paired color map that represents two variables corresponding to the entities by color and the pixel cells may be caused to be displayed on the distorted geographic map according to the determined respective color values.