光学精密工程2018，Vol.26Issue(4)：778-787,10.DOI:10.3788/OPE.20182604.0778
基于三维傅里叶变换的胸腹表面测量
Measurement of thoraco-abdominal surface using 3D Fourier transform
摘要
Abstract
This paper proposes a 3D Fourier transform measurement method for thoraco-abdominal surface.It has important applications in the 3D measurement of the motion of human thoraco-abdomi-nal surface for accurate radiotherapy in the medical field.The method combines 3D Fourier fringe a-nalysis(3D-FFA)with triple-frequency temporal phase unwrapping.It uses three primary colors that include three cosine fringe patterns with different frequencies to generate a composite pattern,and can achieve the corresponding 3D measurement of the thoracic and abdominal surface by capturing one im-age.Taking the dynamic fringe pattern sequence as a 3D volume,the wrapped phase can be extracted using 3D Fourier transform combined with a 3D Gaussian filter.The proposed method shows a root mean square(RMS)error less than 0.005 rad for the wrapped phase without interference,a peak-val-ley(PV)value error less than 0.015 rad,and an anti-interference ability higher than that of the 2D Fourier fringe analysis(2D-FFA)method and other thoracic and abdominal surface 3D-FFA methods.A new triple-frequency temporal phase unw rapping method is used for unw rapping the w rapped phase,and show s an absolute phase error less than the w rapped phase error under limited conditions. Theoretical analysis and experimental results show that the proposed method can achieve 3D dynamic measurement of human thoraco-abdominal surface.关键词
三维傅里叶变换/折叠相位/高斯滤波器/时间相位展开/胸腹表面Key words
3D Fourier transform/w rapped phase/Gaussian filter/temporal phase unw rapping/tho-raco-abdominal surface分类
机械制造引用本文复制引用
孟晓亮,于晓洋,吴海滨,樊琪,孙晓明..基于三维傅里叶变换的胸腹表面测量[J].光学精密工程,2018,26(4):778-787,10.基金项目
国家自然科学基金资助项目(No.61571168,No.61671190) （No.61571168,No.61671190）
