计量学报2023，Vol.44Issue(12)：1783-1790,8.DOI:10.3969/j.issn.1000-1158.2023.12.01
基于三角形收缩法改进的分数傅里叶变换估计牛顿环参数
Parameters Estimation of Newton Rings Based on Fractional Fourier Transform Modified by Triangle Shrinkage Method
摘要
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 640×640 pixels.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 1080×1080 pixels,the relative error of the estimated value is 0.001%,and the processing time is 3.31 s.The method estimates the 720×720 pixels Gaussian noise-damaged Newton ring interferometric fringe image in an average time of 1.28 s,which is about 1/700 of the traditional fractional Fourier transform time.关键词
光学计量/透镜曲率半径/牛顿环条纹图/分数傅里叶变换/三角形收缩法Key words
optical metrology/lens curvature radius/Newton rings fringe patterns/fractional Fourier transform/triangle shrinkage method分类
通用工业技术引用本文复制引用
武进敏,姜盛,鲁溟峰,沈德明,范军芳,李亚峰,张峰,陶然..基于三角形收缩法改进的分数傅里叶变换估计牛顿环参数[J].计量学报,2023,44(12):1783-1790,8.基金项目
国家重点研发计划(2020YFC1511705) （2020YFC1511705）
国家自然科学基金(62171025) （62171025）
北京市属高等学校高水平科研创新团队建设支持计划(BPHR20220123) （BPHR20220123）
北京市自然科学基金(4232044) （4232044）
北京理工大学实验室研究项目(2021BITSYA18) （2021BITSYA18）
北京信息科技大学高教研究项目(2022GJYB16) （2022GJYB16）
