Circular Arc Editing With Continuity-Preserving Endnode Constraints
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Solution Overview
Problem
Conventional computer design applications face challenges in accurately and efficiently manipulating digital images with circular arcs due to the complexity of Bezier curves, leading to inefficiencies and loss of arc qualities during editing and manipulation.
Innovation Solution
A digital arc design system that creates and modifies circular arc segments within digital design documents while maintaining their inherent qualities by using dynamic continuity settings and snapping endnodes to rigid continuity conversion shapes, allowing precise and accurate manipulation without converting to Bezier curves.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If Bezier curves are used to approximate arc segments, then ease of manipulation is improved, but manufacturing precision and arc quality fidelity deteriorate
Solution Approach 1:
The patent creates a digital representation (copy) of the circular arc with precise mathematical parameters (center point, radius, start angle, end angle) that can be manipulated without conversion to Bezier curves. This digital model maintains exact arc qualities while enabling flexible editing through parameter adjustment, resolving the contradiction between ease of manipulation and precision.
Solution Approach 2:
The system enables direct manipulation of arc parameters (center point coordinates, radius, start/end angles) rather than converting to Bezier control points. This allows precise modification of arc properties while maintaining mathematical fidelity, improving both ease of operation and manufacturing precision simultaneously.
2Adaptability or versatility
If complex graphical interfaces are provided for working with vector curves, then adaptability is improved, but productivity deteriorates
Solution Approach 1:
The patent extracts the essential arc manipulation functionality from complex vector curve interfaces, providing dedicated tools for circular arc editing. This specialized interface focuses only on arc-specific parameters and operations, removing unnecessary complexity while maintaining versatility for arc work, thereby improving productivity without sacrificing adaptability.
Solution Approach 2:
The system provides automatic calculations and constraints that reduce manual intervention. When users modify arc parameters, the system automatically maintains geometric relationships and calculates dependent values, reducing the number of steps required while preserving full editing capability.
3Manufacturing precision
If client devices attempt to manipulate individual shapes accurately, then manufacturing precision is improved, but device complexity increases
Solution Approach 1:
The patent segments the arc manipulation task into distinct, manageable parameters (center point, radius, start angle, end angle) that can be controlled independently. This segmentation simplifies the manipulation process on client devices while maintaining precision, as each parameter can be adjusted separately without affecting the entire curve complexity.
Data Source
AI summary
The disclosed systems, methods, and non-transitory computer readable media provide a digital design interface for creating and modifying circular arc segments as drawing elements within an arc path segment in a cohesive and visually consistent manner. In particular, the disclosed systems generate a circular arc segment comprising a first endnode and a second endnode, wherein the second endnode of the circular arc segment is connected to a design segment comprising the second endnode and a third endnode. In addition, the disclosed systems determine a first continuity setting for the first endnode, a second continuity setting for the second endnode, and a third continuity setting for the third endnode. Moreover, in response to a user interaction, the disclosed systems generate a modified circular arc segment and a modified design segment according to the first continuity setting, the second continuity setting, and the third continuity setting.