Contour Meter Tangential Transition Point Accuracy
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Solution Overview
Problem
Existing contour measurement technologies face challenges in accurately determining transition points between tangentially adjoining contour geometries, particularly between circular arc and straight geometries, leading to inaccuracies in workpiece production.
Innovation Solution
A method and contour meter that measure workpiece contours by assigning replacement elements to identified geometries, determining their positions and sizes under tangential adjacency conditions, and iteratively refining transition point calculations using a minimum distance threshold to enhance accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a measuring sensor is moved along the workpiece contour to measure measurement points, then the contour can be measured, but it is difficult to determine transition points between tangentially adjoining contour geometries with sufficient accuracy
Solution Approach 1:
The contour is divided into multiple contour geometries (e.g., circular arcs, straight lines), and each geometry is processed separately to determine its replacement element. This segmentation allows for more precise identification of transition points between geometries by analyzing each segment independently rather than treating the entire contour as a single continuous path.
Solution Approach 2:
Replacement elements (such as circles for circular arcs, straight lines for linear segments) are assigned to each contour geometry before determining transition points. This preliminary assignment of geometric models enables the system to calculate transition points based on the intersection or tangency of these pre-defined elements, significantly improving measurement accuracy at critical transition locations.
2Measurement precision
If replacement elements are assigned to contour geometries and their positions are determined under tangential adjacency conditions, then transition point accuracy improves, but the calculation complexity increases
Solution Approach 1:
The method transforms the complex problem of directly measuring transition points into a parameter-based calculation problem. By defining replacement elements with specific geometric parameters (radius, center coordinates, line equations) and applying tangential adjacency conditions, the system converts a difficult measurement task into a series of mathematical calculations that can be systematically solved.
Solution Approach 2:
Replacement elements serve as intermediary mathematical constructs between the measured contour points and the final transition point determination. These intermediate elements (circles, lines) simplify the calculation by providing well-defined geometric properties and relationships, making the overall determination process more manageable despite increased computational steps.
Data Source
AI summary
A workpiece contour (13) at least first and second contour geometries (K1-K2) adjoining one another tangentially at a first transition point (U1). Measurement points (M) are recorded along the geometries (K1-K2). Using some measurement points within the first geometry (K1), a first replacement element (G1) is determined and assigned to the first geometry (K1). Analogously, using some measurement points (M) of the second geometry (K2) a second geometry element (G2) assigned to the latter is determined. The size and/or the position of the second geometry element (G2) are calculated under the boundary condition that the second replacement element (G2) adjoins the first replacement element (G1) tangentially. The tangential transition point between the two replacement elements (G1), (G2) forms the first transition point (U1). This method can be iterated using additional or other measurement points (M), until the first transition point (U1) is determined with sufficient accuracy.