Radar Chart Balance Visualization Using Geometric Centers
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Solution Overview
Problem
Existing methods, such as triangular graphs and radar charts, face difficulties in effectively displaying balances among multiple components for multiple evaluation objects while presenting collective results, leading to overlapping graph lines and challenges in determining individual evaluation results.
Innovation Solution
A balance graph creation method involving a coordinate system with radial axes for evaluation items, where a point indicating balance among evaluation results is determined as the center, circumcenter, incenter, or excenter of a polygon formed by points representing individual evaluation results, enhancing visibility and intuitive understanding of balance tendencies.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Quantity of substance
If triangular graphs or radar charts are used to display evaluation results for multiple evaluation objects, then comprehensive evaluation information can be presented, but graph lines overlap and individual evaluation results become difficult to determine
Solution Approach 1:
The patent divides the evaluation information into two distinct visual elements: individual evaluation results are represented by points on radial axes, while balance information is represented by separate geometric centers (circumcenter, incenter, orthocenter, or excenter). This segmentation allows viewers to distinguish between individual results and overall balance without confusion from overlapping graph lines.
Solution Approach 2:
The patent introduces geometric centers (such as circumcenter, incenter, orthocenter, or excenter of the polygon formed by evaluation points) as intermediary elements that mediate between individual evaluation points and the overall balance assessment. These centers serve as visual mediators that clearly indicate balance tendencies without requiring viewers to interpret overlapping connecting lines.
2Quantity of substance
If graph lines are drawn to connect evaluation points for multiple evaluation objects, then collective results can be displayed, but visibility of individual evaluation results decreases due to overlapping lines
Solution Approach 1:
The patent extracts the balance indication function from the graph lines and reassigns it to geometric centers (circumcenter, incenter, orthocenter, or excenter). By removing the graph lines that caused visibility problems and extracting their informational function, the patent maintains collective result display while significantly improving the visibility of individual evaluation points.
Solution Approach 2:
The patent employs different visual characteristics (such as color, symbol type, or positioning) to distinguish between individual evaluation points and geometric centers. This visual differentiation ensures that both individual results and collective balance information remain visible and distinguishable without requiring overlapping lines.
3Ease of operation
If traditional radar charts are used to show balance among multiple components, then overall balance can be determined, but it becomes difficult to analyze balance tendencies across multiple evaluation objects simultaneously
Solution Approach 1:
The patent merges multiple evaluation objects onto a single radar chart by representing each object's balance tendency through its corresponding geometric center (circumcenter, incenter, orthocenter, or excenter). This merging allows simultaneous analysis of balance tendencies for multiple evaluation objects on one chart while maintaining the ease of balance determination that characterizes traditional radar charts.
Solution Approach 2:
The patent adds a new dimensional aspect to radar charts by incorporating geometric centers as additional visual elements. This dimensional enhancement allows the chart to convey both individual evaluation results (points on axes) and collective balance information (geometric centers) simultaneously, enabling analysis of multiple evaluation objects without losing clarity.
Data Source
AI summary
A graph creation method includes setting on a plane a coordinate system in which three axis extend from an origin in a radial fashion, setting three evaluation results of three evaluation item for an evaluation object on each the three axis; determining a balance being one of center, circumcenter, incenter, orthocenter, and excenter of a polygon the vertices of which correspond to the three evaluation results set on the three axis; and creating on the coordinate system a graph in which the balance is set.