基于圆光栅的莫尔体层析投影特性研究
关键词 圆光栅 莫尔条纹 三文计算层析 相位提取
毕业设计说明书（论文）外文摘要
Title Study on the projection characteristic of moire volume tomography using circular gratins
Abstract
Moiré volume computerized tomography is a new-born technique that combines
moiré tomography and 3-D optical computerized tomography. It is mainly used
in areas such as complex flow visualization and measurement and can restore
the 3-D distribution of the tested field. Based on parallel projection of
3-D tomography theory, second radial order partial derivatives of
projection wave front is dealt with, which lays foundation on 3-D exact
reconstruction work. The main work is described as follows: the exact
expression of circular gratings’ moiré fringes is given with the help of
scalar diffraction theory; using improved Fourier-transform method(FT)
and local frequency sequence demodulation method(FSD), the first radial
order derivative of the projection wave front can be successfully obtained
from circular gratings’ moiré fringes.
Keywords Circular grating moiré fringe
3-D computerized tomography Phase extraction
目 次
1 引言 1
1.1 计算层析与光学计算层析 . 1
1.2 国内外莫尔层析研究现状 . 1
1.3 本文研究的问题 . 2
2 光学体层析技术基本原理 4
2.1 平行投影下的三文 Radon 变换 . 4
2.2 体层析滤波反投影算法 . 6
2.3 体层析重建算法 . 8
3 圆光栅莫尔条纹理论分析 . 11
3.1 标量衍射理论与稳定相位法 11
3.2 圆光栅莫尔条纹理论推导 12
3.2.1 圆光栅莫尔条纹几何分析 . 12
3.2.2 基于标量衍射理论的圆光栅莫尔条纹表达式 . 14
3.2.3 圆光栅空间滤波 . 18
3.3 实验结果 20
4 圆光栅莫尔条纹相位提取 . 22
4.1 莫尔条纹相位提取概述 22
4.2 傅里叶变换法提取圆光栅莫尔条纹相位 22
4.2.1 傅里叶变换法提取相位原理 . 22
4.2.2 圆光栅莫尔条纹的特点 . 23
4.2.3 坐标变换应用于傅里叶变换法分析条纹 . 24
4.2.4 理论模拟提取相位 . 25
4.2.5 实验莫尔条纹图提取相位 . 28
4.3 基于局部空间频率的相位提取 29
4.3.1 局部空间频率相位提取的原理 . 29
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