Drawing-Tool Curve Fitting With Tangent Arcs for CNC Splines
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Solution Overview
Problem
In CNC machining, manually fitting first-order continuous curves composed of multiple splines is inefficient, error-prone, and lacks accuracy due to the complexity of mathematical expressions required.
Innovation Solution
A curve fitting method and apparatus based on a drawing tool that determines a fitting area and performs sub-fitting operations using tangent arcs to generate fitting arcs and curves, improving efficiency and accuracy by automating the process.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If manual curve fitting is performed on first-order continuous curves composed of multiple splines, then the curve can be fitted with mathematical formulas, but the process is inefficient, error-prone, and has low accuracy
Solution Approach 1:
The system performs automatic curve fitting without manual intervention. The computer automatically determines the fitting area, performs sub-fitting operations using tangent arcs, and generates the final fitting curve, eliminating the need for manual curve fitting operations.
Solution Approach 2:
The patent replaces manual mechanical curve fitting operations with an automated computer-based system that uses mathematical algorithms and tangent arc calculations to perform sub-fitting operations and generate the final curve.
2Ease of operation
If first-order continuous curves are fitted manually, then the process can be completed, but it requires large numbers of operations and produces large errors
Solution Approach 1:
The system automatically performs curve fitting operations without manual intervention. The computer executes the entire process from determining the fitting area to generating the final fitting curve, eliminating manual errors and simplifying the operation process.
Solution Approach 2:
The system performs multiple sub-fitting operations with tangent arcs that are continuously adjusted and refined. Each sub-fitting operation provides feedback for the next iteration, ensuring the final curve meets the required accuracy standards.
3Adaptability or versatility
If multiple splines are used to compose first-order continuous curves, then the curves can represent complex engineering shapes, but the mathematical expressions become complex and difficult to fit
Solution Approach 1:
The patent divides the complex curve fitting process into multiple sub-fitting operations. Each sub-fitting operation handles a specific segment using tangent arcs, breaking down the complex mathematical problem into manageable parts that are easier to compute and fit.
Solution Approach 2:
The patent introduces tangent arcs as intermediary elements between the original curve and the final fitting curve. These tangent arcs serve as mediators that simplify the mathematical expressions while maintaining the ability to represent complex engineering shapes.
Data Source
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AI summary
The application provides a curve fitting method, apparatus and device based on a drawing tool, which relates to the technical field of mechanical processing, and is used to improve the accuracy of curve fitting. The method includes: determining a fitting area containing the original curve, in the fitting area, performing at least one sub-fitting operation on the original curve until the end condition of the curve fitting is satisfied, and generating a fitting curve corresponding to the original curve based on the fitting curve corresponding to each sub-fitting operation. This method can fit the original curve segments in the fitting area, which improves the accuracy of the obtained fitting curve.