Locus Point Analysis in Figure Rendering Apparatus
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Solution Overview
Problem
Current figure rendering apparatuses cannot accurately determine whether the locus of a moving point fits predetermined functional formulas, limiting user understanding of the locus content.
Innovation Solution
A figure rendering apparatus with a locus position information obtaining section that judges whether the obtained position information of a locus point fits predetermined functional formulas and displays the relevant information, allowing users to recognize the locus content.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the figure rendering apparatus only renders the locus visually without analyzing position information, then the device complexity is reduced, but the measurement precision of locus content is insufficient
Solution Approach 1:
The locus rendering apparatus automatically obtains position information of the locus point and analyzes whether it fits predetermined functional formulas without requiring external intervention. The system self-determines the mathematical characteristics of the locus through built-in analysis sections that process the rendered position data to identify functional relationships.
Solution Approach 2:
The patent replaces manual geometric analysis with automated computational analysis. Instead of requiring users to manually determine locus properties, the system uses a locus position information obtaining section and analysis section that computationally determine whether position data fits functional formulas, substituting mechanical/geometric reasoning with algorithmic processing.
2Loss of information
If the apparatus displays only the rendered figure without functional formula information, then the ease of operation is improved, but the loss of information about locus characteristics increases
Solution Approach 1:
The system provides feedback to the user by displaying not only the rendered locus figure but also the determined functional formula information. The locus information displaying section presents both visual and mathematical representations of the locus, allowing users to verify and understand the characteristics of the rendered path through the provided functional relationships.
Solution Approach 2:
The patent adds another dimension of information presentation by superimposing functional formula data onto the visual rendering. Instead of displaying only the graphical locus, the system combines visual information with mathematical description in a multi-dimensional presentation that includes both spatial representation and functional relationship data.
3Productivity
If the apparatus automatically determines functional formulas without user input, then the productivity is improved, but the device complexity increases
Solution Approach 1:
The system performs preliminary analysis by pre-defining multiple functional formulas that the locus might satisfy. The analysis section compares the obtained position information against these predetermined functional relationships, allowing for rapid identification of the locus type without requiring complex real-time computation or user input for each analysis step.
Data Source
AI summary
Disclosed is a figure rendering apparatus including: a figure displaying section to display a figure by rendering the figure in a display screen; a setting section to set an arbitrary point on a rendering figure as a moving point, a moving range of the moving point, and an arbitrary point on the rendering figure as a locus point on a basis of a user's operation; and a control section to render a locus of the locus point in the display screen when the moving point moves in the moving range; to obtain a plurality of pieces of position information of the locus point in the locus; and to judge whether the plurality of pieces of position information obtained by the control section fits predetermined functional formulae or not, and to display information of a functional formula judged to be fit by the pieces of position information in the display screen.