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二维S变换在光学三维面形测量中的应用

Application of Two-Dimensional S-Transform in Optical 3D Shape Measurement

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摘要

S变换具有时频分析能力和多分辨率特点,可以看作是窗口傅里叶变换和小波变换的扩展。S变换不仅克服了傅里叶变换缺乏局部分析能力的不足,其变换系数又与待分析图像的傅里叶谱之间存在紧密联系,近年来被应用于条纹分析中。根据S变换系数的特点,深入研究了基于二维S变换的“脊”(2DSTR)分析方法和二维S变换“滤波”(2DSTF)分析方法,并对两种方法进行了详细对比。计算机模拟和实验验证了理论分析结果,研究结果为二维S变换用于三维面形测量提供了指导。

Abstract

As a extension of windowed Fourier transform and wavelet transform, S-transform has the features of good time-frequency characteristic and multi-resolution ability. Compared with Fourier transform which lacks local analysis ability, S-transform not only has this ability, its coefficients are also closely connected with the Fourier spectra of the image to be analyzed. Therefore, S-transform has been widely used in fringe analysis in recent years. Based on the features of S-transform coefficients, the 2D S-transform "ridge" (2DSTR) method and 2D S-transform filtering (2DSTF) method are studied deeply. The two methods are compared in detail, too. The results of theoretical analysis are verified by computer simulation and experiment, and they will provide reference for the application of S-transform in 3D shape measurement.

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中图分类号:O438

DOI:10.3788/lop54.041206

所属栏目:仪器,测量与计量

基金项目:国家重大科学仪器设备开发专项(2013YQ49087901)

收稿日期:2016-11-10

修改稿日期:2016-12-08

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作者单位    点击查看

宋梦洒:四川大学电子信息学院光电系, 四川 成都 610064
陈文静:四川大学电子信息学院光电系, 四川 成都 610064

联系人作者:宋梦洒(457319247@qq.com)

备注:宋梦洒(1994-),女,硕士研究生,主要从事光学三维传感方面的研究。

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引用该论文

Song Mengsa,Chen Wenjing. Application of Two-Dimensional S-Transform in Optical 3D Shape Measurement[J]. Laser & Optoelectronics Progress, 2017, 54(4): 041206

宋梦洒,陈文静. 二维S变换在光学三维面形测量中的应用[J]. 激光与光电子学进展, 2017, 54(4): 041206

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