Discrete Box Chart Marker Positioning for Overlap Resolution
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Solution Overview
Problem
Discrete box charts with overlapping markers become impractical when both axes are discrete, making it difficult to distinguish the number of markers in each box, leading to misleading or difficult-to-understand displays, limiting the use of box charts as an analytical tool.
Innovation Solution
A method to generate a table of graphically represented configurations where data points are equally positioned within each configuration, allowing for the plotting of data points in a way that each marker is centered and equally valued, avoiding overlap and misrepresentation, and displayed in a box chart format.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If markers are plotted at random locations within each box, then the chart avoids overlap, but the display becomes misleading because it suggests some markers have higher scores than others
Solution Approach 1:
The patent applies asymmetry by using different vertical positions for markers based on their actual Y-axis values while maintaining horizontal centering. This creates an asymmetric arrangement where markers at different heights clearly indicate different score levels, resolving the contradiction between avoiding overlap and preserving data accuracy.
Solution Approach 2:
The patent applies local quality by varying the vertical position of each marker according to its specific data value while keeping horizontal positions uniform. This local differentiation allows the chart to convey precise information about individual marker values without the misleading effect of random positioning.
2Device complexity
If markers are plotted in the center of each box, then the display is simple, but the viewer cannot perceive whether an individual box holds one, ten, or one hundred markers
Solution Approach 1:
The patent applies dimensionality change by utilizing the vertical dimension for displaying marker quantity information through stacked markers. Instead of only horizontal positioning, markers are arranged vertically within each box, creating a stacked appearance that visually indicates the number of markers while maintaining plotting simplicity.
Solution Approach 2:
The patent applies merging by combining multiple markers at the same horizontal position but different vertical positions. This stacking approach merges the visual representation of multiple data points into a single vertical column, allowing the viewer to perceive marker quantity without requiring separate horizontal positions for each marker.
3Adaptability or versatility
If both dimensions are continuous, then the chart functions similarly to a scatter plot, but when both dimensions are discrete, most plotted markers overlap making the chart difficult to read
Solution Approach 1:
The patent applies dynamics by implementing adaptive marker positioning that automatically adjusts based on the data type. The system dynamically determines whether to use continuous or discrete positioning strategies, and within discrete categories, it dynamically assigns vertical positions based on marker count, maintaining readability across different data scenarios.
Solution Approach 2:
The patent applies parameter changes by modifying the positioning parameters based on the data characteristics. When discrete categories are detected, the system changes from continuous coordinate positioning to discrete vertical slot positioning, transforming the chart rendering approach to prevent overlap while maintaining readability.
Data Source
AI summary
This disclosure describes, generally, methods and systems for plotting a graphically displayed box chart. The method includes receiving a data set including data points, where each of the plurality of data points consists of an ordered pair with a first axis and a second axis. The method further includes determining that the first axis and the second axis are discrete, and generating a table of graphically represented configurations of data points, where each configuration in the table includes a distinct number of data points within the configuration, and where the graphically represented configurations position the data points such that each of the data points is equally positioned within the graphically represented configuration. Further, the method includes, based on the graphically represented configurations of data points, plotting the data points and graphically displaying the plotted data points in a box chart format.