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

作　　者：孟晓亮 于晓洋[1] 吴海滨[1] 樊琪 孙晓明[1] MENG Xiao-liang;YU Xiao-yang;WU Hai-bin;FAN Qi;SUN Xiao-ming(The Higher Educational Key Laboratory for Measuring&Control Technology and Instrumentations of Heilongjiang Province,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学,测控技术与仪器黑龙江省高校重点实验室,黑龙江哈尔滨150080

出　　处：《光学精密工程》2018年第4期778-787,共10页Optics and Precision Engineering

基　　金：国家自然科学基金资助项目(No.61571168,No.61671190)

摘　　要：鉴于人体胸腹表面三维运动测量在精确放疗等医学领域中的重要应用背景,提出一种三维傅里叶条纹分析与三频时间相位展开相结合的三维傅里叶变换胸腹表面测量方法。投射一幅不同频率三原色余弦条纹组成的图案,每采集一幅图像就能实现相应时刻胸腹表面的三维形状测量;将动态条纹图像序列作为一个三维序列整体,通过三维傅里叶变换并结合三维高斯滤波器提取折叠相位。无干扰时其均方根误差不超过0.005rad,峰谷值误差不超过0.015rad,其抗干扰能力高于二维傅里叶条纹分析和其他胸腹表面三维傅里叶条纹分析方法;通过三频时间相位展开方法进行折叠相位展开,在限定条件下绝对相位的误差不超过折叠相位的误差。理论分析和实验结果表明,本文方法能实现人体胸腹表面的三维动态测量。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-abdominal surface for accurate radiotherapy in the medical field.The method combines 3D Fourier fringe analysis(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 image.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-valley(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 unwrapping method is used for unwrapping the wrapped phase,and shows an absolute phase error less than the wrapped 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 

分 类 号：TH741[机械工程—光学工程]