| 利用分数傅里叶变换相关实现散斑相关测量 |
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| 引用本文： | 赵玮,赵晓铭,王红霞,王晓颖.利用分数傅里叶变换相关实现散斑相关测量[J].光子学报,2005,34(3):464-467. |
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| 作者姓名： | 赵玮 赵晓铭 王红霞 王晓颖 |
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| 作者单位： | 第二炮兵工程学院物理教研室,西安,710025;西安工业学院数理系物理教研室,西安,710032 |
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| 摘 要： | 提出了一种在匹配滤波相关中利用分数傅里叶变换代替傅里叶变换实现散斑相关测量的方法.利用分数傅里叶变换的指数性质，采用把移变后的散斑图像先进行相位调制，再进行分数傅里叶变换的方法，有效地解决了分数傅里叶变换的移变性带来的谱移问题.编程模拟和拉伸试件位移场测量的结果表明，只要选择合适的分数傅里叶变换级次和相位调制函数，可以得到优于傅里叶变换相关的理想输出.
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| 关 键 词： | 分数傅里叶变换相关 散斑 移变性质 指数性质 |
| 收稿时间： | 2004-07-02 |
| 修稿时间： | 2004年7月2日 |
The Research of Fractional Fourier Transform Correlation Applied on Speckle Measure |
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| Zhao Wei,Zhao xiaoming,Wang Hongxia,Wang Xiaoying.The Research of Fractional Fourier Transform Correlation Applied on Speckle Measure[J].Acta Photonica Sinica,2005,34(3):464-467. |
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| Authors: | Zhao Wei Zhao xiaoming Wang Hongxia Wang Xiaoying |
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| Institution: | 1 Department of Physics ,The Second Artillery Engineering institute,Xi′an 710025;2 Department of Mathematics and Physics, Xi′an Industry of Technology,Xi′an 710032 |
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| Abstract: | A method of speckle Correlation measuring is presented. It performs fractional Fourier transform instead of Fourier transform in matched filtering Correlation to obtain better recognition peak. Based on the exponential property of fractional Fourier transform, The shifting problem of fractional domain spectrum from the shift-variant property of fractional Fourier transform is solved by use of phase modulation to the specklegram,. The results of simulation and displacement fields measuring of object stretched indicate that this method is feasible, and Fractional Correlation peaks can be optimized through choosing the transform orders and phase modulation function. |
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| Keywords: | Fractional Fourier Transform Correlation Speckle The shift quality The index quality |
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