Ring Structure Position and Radius Measurement via Fourier Analysis
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Solution Overview
Problem
Existing methods for processing intensity images with ring structures, such as interferograms, face inaccuracies due to unknown or inaccurately known ring centers and ellipticity, leading to imprecise measurement of ring radii and shape deviations.
Innovation Solution
A method involving sector division, distance vector creation, and Fourier transformation to determine the ring center, radius, and ellipticity, allowing for accurate measurement and correction of ring structure parameters, even with unknown or inaccurately known ring centers and ellipticity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If the position of the ring center is known in advance to determine ring radii, then the measurement process is simplified, but the measurement precision deteriorates when the ring center position is unknown or inaccurately known
Solution Approach 1:
The patent applies preliminary action by performing a first Fourier transformation on distance vectors from sector tips to intensity extremes to determine the ring center position and shape deviation before using this information to accurately measure ring radii. This preliminary determination of center position eliminates the need to assume the center is known in advance, thereby resolving the contradiction between operational simplicity and measurement precision.
2Device complexity
If the ring structure is assumed to be perfectly circular, then the analysis is simplified, but the measurement precision deteriorates when ellipticity is present
Solution Approach 1:
The patent applies parameter changes by introducing shape deviation parameters (ellipticity) into the analysis model. By determining the first shape deviation from the Fourier transformation results and using this to correct distance measurements, the method accurately handles elliptical ring structures without significantly increasing operational complexity, thus resolving the contradiction between analysis simplicity and measurement precision.
3Adaptability or versatility
If multiple parameters (center position, radius, shape deviation) are determined simultaneously, then the versatility is improved, but the device complexity increases
Solution Approach 1:
The patent applies segmentation by dividing the ring structure analysis into distinct sectors and processing distance vectors from each sector separately. This segmentation approach enables simultaneous determination of multiple parameters (center position, radius, shape deviation) through systematic processing of sector-specific data, achieving high versatility while managing complexity through structured analysis.
Data Source
AI summary
A system and method processes intensity images having a ring structure to measure position, shape deviation and/or radius of the ring structure, and to evaluate interferograms and/or localize objects. The system and method can define N sectors of the intensity image respectively having sector tips lying at a common sector origin within the ring structure, with N being a natural number where N>1, detect a distance of an intensity extreme from the respective sector tip of each sector of at least one group of the sectors to obtain a distance vector that includes the distances from all the sectors from at least the group of the sectors, perform a Fourier transformation of the distance vector, and determine a center, a radius and/or a deviation of the ring structure from a circular shape,-by using the first Fourier vector obtained by the Fourier transformation.