用于提琴琴弦三维振动测量的高速摄影系统

张承忠; 叶邦彥; 赵学智; 胡习之

doi:10.3788/OPE.20142209.2329

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用于提琴琴弦三维振动测量的高速摄影系统

现代应用光学 | 更新时间：2020-08-13

- 用于提琴琴弦三维振动测量的高速摄影系统
- High-speed photographic system for 3D vibration measurement of violin string
- 光学精密工程 2014年22卷第9期页码：2329-2336
- 作者机构：
  
  1. 华南理工大学机械与汽车工程学院,广东广州,510640
  2. 华南师范大学软件学院,广东佛山,528225
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目（No.50875086）()
- DOI：10.3788/OPE.20142209.2329
  中图分类号： TS953.33;TB853.1+7
- 收稿日期：2013-11-29，
  
  修回日期：2014-01-04，
  
  纸质出版日期：2014-09-25
- 稿件说明：
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张承忠, 叶邦彥, 赵学智等. 用于提琴琴弦三维振动测量的高速摄影系统[J]. 光学精密工程, 2014,22(9): 2329-2336

ZHANG Cheng-zhong, YE Bang-yan, ZHAO Xue-zhi etc. High-speed photographic system for 3D vibration measurement of violin string[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2329-2336
张承忠, 叶邦彥, 赵学智等. 用于提琴琴弦三维振动测量的高速摄影系统[J]. 光学精密工程, 2014,22(9): 2329-2336 DOI： 10.3788/OPE.20142209.2329.

ZHANG Cheng-zhong, YE Bang-yan, ZHAO Xue-zhi etc. High-speed photographic system for 3D vibration measurement of violin string[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2329-2336 DOI： 10.3788/OPE.20142209.2329.

摘要

分析了琴弦的亥姆霍兹运动，设计了一个基于高速摄影的非接触式光学测量系统，用于测量真实小提琴上琴弦的振动。通过特殊的光路设计和在琴弦上设置标定点，以7 000 frame/s的速度和336×480的图像分辨率拍摄了拉弦和拨弦时琴弦上标定点的三维振动形态。采用圆形霍夫变换图像处理算法、奇异值分解算法和自动批处理，对记录的大量序列图像进行处理，提取了弦振动的位移和轨迹等数据。实验结果表明，该测量系统能够精确跟踪小提琴琴弦的振动状态和包络轨迹，振动位移曲线的图像处理精确度达到0.03 mm。该系统为进一步研究提琴琴弦的振动机理和建立精确的琴弦振动理论模型提供了一种有效的实验方法。

Abstract

The 'Helmholtz movement’ of a bowed string was analyzed

and a non-contact optical measurement system based on high-speed photography was designed to measure the vibration of string of a violin. By designing a special path and setting a marked point on the string

the three dimensional vibration state of the marked point on string was measured on plucking and bowing the violin string with a high speed shooting rate of 7 000 frame/s and image resolution of 336× 480. On the imaging processing algorithm based on the circular Hough transform

singular value decomposition algorithm and an automatic batch program

a large number of sequential images recorded were processed and the displacement and trajectory were extracted. The experimental results show that the proposed measurement system accurately tracks the motion and trajectory of the violin string

and the data processing accuracy of vibration displacement is 0.03 mm. The designed measurement system and image processing algorithm provide a valid experimental method for studying the mechanism of violin string vibration and developing an accurate theoretical model for string motion.

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Keywords

references

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