Vector Graphic Scaling with Control Point Alignment
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Solution Overview
Problem
Vector-based graphic designs suffer from alignment errors and loss of sharpness when rescaled by non-integer factors, leading to blurry edges due to control points being repositioned to non-integer pixel values, requiring manual adjustments that are time-consuming, especially for complex designs.
Innovation Solution
A method and system for automatically rescaling vector-based graphic designs by determining minimum adjustments for control points to preserve relative spatial inter-relationships and positional relationships within threshold tolerances, allowing for non-integer rescaling while maintaining the original visual appearance, involving a processor to adjust control points and render the design.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If vector-based graphic designs are rescaled by non-integer factors, then the design can be adapted to different form factors and resolutions, but alignment errors occur and edges become blurry
Solution Approach 1:
The system performs preliminary analysis of the original vector design to identify control points that are aligned with integer coordinates before rescaling. This pre-processing step allows the system to predict which control points will become misaligned after non-integer rescaling, enabling corrective actions to be taken in advance or immediately after transformation to restore alignment and maintain sharp edges.
Solution Approach 2:
The system dynamically adjusts parameters of control points (positions, coordinates) after rescaling to compensate for misalignment. By modifying the parameters of affected control points, the system restores their alignment with the pixel grid, thereby maintaining sharp edges and visual quality despite non-integer scaling transformations.
2Ease of operation
If control points are repositioned during rescaling, then the design can be transformed to new dimensions, but the control points lose their alignment with integer coordinates causing visual blur
Solution Approach 1:
The system implements a feedback mechanism where the positions of control points are analyzed after rescaling to detect misalignment with integer coordinates. Based on this feedback, the system automatically calculates and applies corrective adjustments to restore alignment, creating a closed-loop process that maintains precision throughout the transformation.
Solution Approach 2:
The system performs self-correction by automatically identifying and adjusting misaligned control points without requiring manual intervention. The algorithm autonomously analyzes the rescaled design, detects alignment errors, and applies necessary corrections, making the transformation process both easy to operate and precision-maintaining.
3Manufacturing precision
If manual adjustments are made to correct alignment errors after rescaling, then edge sharpness can be restored, but the process becomes time-consuming
Solution Approach 1:
The system automates the entire alignment correction process, making it self-serving without human intervention. The algorithm independently identifies misaligned control points, calculates optimal adjustments, and applies corrections automatically, eliminating the need for time-consuming manual re-alignment while maintaining sharp edges.
Solution Approach 2:
The system replaces manual mechanical adjustment operations with an automated computational algorithm. Instead of requiring designers to manually move and reposition control points, the system uses mathematical calculations and automated processing to achieve the same alignment correction, dramatically reducing the time required while maintaining precision.
Data Source
AI summary
A method to scale a vector-based graphic design by a non-integer scaling factor. The relationships of control points of the vector-based graphic design, with respect to each other and with respect to the coordinate system of the workspace, are determined prior to rescaling the vector-based graphic design. Subsequent a multiplication of the coordinate values of the control points by the non-integer scaling factor to scale the original vector-based graphic design, the relationships of the control points, in the scaled vector-based graphic design, are determined and compared to the relationships of the control points in the original vector-based graphic design. Adjustments of the position of the control points in the scaled vector-based graphic design are effected to obtain, within a pre-determined tolerance, the same relationships.


