Graph Display Control Apparatus Aligning Intersection Points to Grid Lines
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Solution Overview
Problem
Conventional graph display apparatuses cannot move or transform graphs to align intersection points with grid lines, limiting the study of graph characteristics in relation to coordinates.
Innovation Solution
A graph display control apparatus with a display unit, figure display control unit, coordinate value calculation unit, and prominent display control unit that moves or transforms graphs to align intersection points with grid lines, allowing for the study of graph characteristics in relation to coordinates.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a graph is moved or transformed in a conventional graph display apparatus, then the graph can be studied in relation to coordinates of a specific point, but it is impossible to align intersection points of the graph with grid lines
Solution Approach 1:
The system continuously monitors the position of intersection points during graph movement and transformation operations. When an intersection point approaches a grid line crossing position, the system provides visual feedback by highlighting the target position and automatically snaps the graph to align the intersection point with the grid line, ensuring precise coordinate alignment while maintaining operational flexibility
Solution Approach 2:
The system introduces an intermediary alignment mechanism that acts as a mediator between the graph movement operation and the final position. This intermediary layer calculates the optimal transformation parameters to move intersection points to grid line crossings, enabling both flexible graph manipulation and precise coordinate alignment without direct conflict between the two requirements
2Measurement precision
If a graph is moved or transformed to align intersection points with grid lines, then coordinate study capability is improved, but the device complexity increases
Solution Approach 1:
The system implements self-service functionality where the graph display apparatus automatically detects intersection points, calculates their current coordinates, and autonomously determines the transformation parameters needed to align them with grid lines. The system performs the alignment operation without requiring complex external control mechanisms, thereby improving coordinate accuracy while minimizing the increase in device complexity
Solution Approach 2:
The system achieves precise alignment by dynamically changing transformation parameters (translation vectors, rotation angles, scaling factors) based on the detected positions of intersection points. By adjusting these parameters algorithmically, the system can align any intersection point with grid lines without requiring additional physical components or complex mechanical structures, thus maintaining relatively simple device architecture
Data Source
AI summary
A graph display control apparatus includes a figure display control unit, a graph figure change unit, a coordinate value calculation unit and a figure prominent display control unit. The figure display control unit sets a coordinate system to a display unit and displays (i) a first graph figure and (ii) a coordinate axis or a second graph figure in the system. The graph figure change unit moves or transforms the first graph figure in the system in response to a user operation to change the first graph figure. The coordinate value calculation unit detects an intersection point of (i) the changed first graph figure and (ii) the coordinate axis or the second graph figure and calculates a coordinate value of the intersection point. The figure prominent display control unit prominently displays the changed first graph figure when the coordinate value is an integer.