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| Parameters Estimation of Newton Rings Based on Fractional Fourier Transform Modified by Triangle Shrinkage Method |
| WU Jin-min1,JIANG Sheng1,LU Ming-feng2,SHEN De-ming2,FAN Jun-fang1,LI Ya-feng1,ZHANG Feng2,TAO Ran2 |
1. School of Automation,Beijing Information Science and Technology University,Beijing 100192,China
2. School of Information and Electronics,Beijing Institute of Technology,Beijing 100081,China |
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Abstract Aiming at a slower rate when the fractional Fourier transform is used for the estimation of Newton rings parameters, the method based on the triangle shrinkage of the improved fractional Fourier transform is proposed by analyzing the distribution law of the maximum value of the amplitude in the fractional domain of the Newton rings fringe images and the corresponding angle of rotation. The experimental results show that the method is feasible, and the processing time is less than 1s for the fringe images with an image size less than 640×640pixels. With the increase of the image size, the number of fringes contained in the fringe image increases, and the relative error of the estimated value of the radius of curvature decreases. The processing time is still able to meet the practical needs of engineering. When processing the image of 1080×1080pixels, the relative error of the estimated value is 0.001%, and the processing time is 3.31s. The method estimates the 720×720pixels Gaussian noise-damaged Newton ring interferometric fringe image in an average time of 1.28s, which is about 1/700 of the traditional fractional Fourier transform time.
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Received: 19 May 2023
Published: 27 December 2023
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2023, Vol. 44 
