Vector Path Simplification With Fewer Anchor Points
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Solution Overview
Problem
Current automated path simplification solutions in computer graphics are inadequate in balancing the reduction of anchor points with the need to accurately follow the original geometry, often leading to manual modifications that are costly and tedious, limiting the complexity and usability of graphics applications.
Innovation Solution
A path simplification system that iteratively generates candidate simplified paths by updating parametric values and anchor points until the deviation from the original path is below a predetermined threshold, ensuring accurate conformity to the original geometry while reducing the number of anchor points.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Quantity of substance
If path simplification is performed by reducing anchor points, then storage space and computational resources are reduced, but the accuracy of following the original path geometry deteriorates
Solution Approach 1:
The patent applies dynamics by making the path simplification process adaptive and iterative. The system dynamically adjusts the simplification parameters and iteratively refines the simplified path to achieve optimal balance between reducing anchor points and maintaining geometric accuracy. The iterative nature allows the system to progressively improve the simplified path representation.
Solution Approach 2:
The patent implements feedback mechanisms by continuously evaluating the deviation between the simplified path and the original path geometry. This feedback is used to adjust and refine the simplified path, ensuring that the reduction in anchor points does not excessively compromise the accuracy of representing the original geometry.
2Loss of time
If automated path simplification is applied, then manual modification time is reduced, but the balance between anchor point reduction and path accuracy deteriorates
Solution Approach 1:
The patent applies self-service by enabling the path simplification system to automatically perform the simplification task without requiring manual user intervention. The system independently evaluates candidate simplified paths, computes deviations from the original geometry, and selects the optimal simplified path, thereby eliminating the need for tedious manual anchor point adjustments while maintaining geometric accuracy.
3Quantity of substance
If complex geometries are simplified with fewer anchor points, then storage requirements are reduced, but the ability to accurately represent distinct curves and turns deteriorates
Solution Approach 1:
The patent applies parameter changes by transforming the representation of the path geometry. Instead of storing numerous anchor points, the system uses parametric representations and mathematical models to describe the simplified path. This allows complex curves and turns to be accurately represented with fewer parameters, thereby reducing storage requirements while preserving the essential geometric features.
Data Source
AI summary
Systems and methods provide for efficiently and accurately determining a simplified path that conforms to the geometry of an original path by simultaneously minimizing the deviation from the original path and reducing the number of anchor points in the simplified path. A simplified path may be iteratively generated by updating parametric values and anchor points for candidate simplified paths at epochs. A deviation in distance between points on the original path and corresponding points on candidate paths may be iteratively decreased to ensure that the resulting simplified path follows the geometry of the original path to a predetermined threshold. Continuity constrains can also be applied to ensure smoothness of the simplified path.