Holography, tomography and 3D microscopy as linear filtering operations
Holography, tomography and 3D microscopy as linear filtering operations
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全息摄影、断层摄影和 3D 显微镜作为线性滤波操作
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
J. Lobera
中科院分区：
文献类型：
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作者：
J. Coupland;J. Lobera
在本文中，我们将三维光学成像技术描述为三维线性平移不变滤波操作。从作为标量衍射理论基础的亥姆霍兹方程出发，我们证明了散射场，或者实际上是散射场的全息重建，可以被认为是对源分布应用线性滤波操作的结果。我们注意到，如果散射很弱，则源分布与散射场无关，全息重建(或实际上任何远场光学成像系统)表现为应用于折射率对比度(有效地定义对象)的3D线性移位不变滤光器。我们继续考虑使用不同的照明条件从散射场的记录合成图像的层析成像技术。在我们的分析中，我们将单色光学层析成像的3D响应与共焦显微镜和扫描白光干涉(使用准单色照明)提供的3D图像进行了比较，并解释了在什么情况下这些方法是等价的。最后，我们讨论了多色光学层析成像的三维响应，特别是光谱光学相干层析成像和扫描白光干涉测量的响应。
In this paper, we characterize 3D optical imaging techniques as 3D linear shift-invariant filtering operations. From the Helmholtz equation that is the basis of scalar diffraction theory, we show that the scattered field, or indeed a holographic reconstruction of this field, can be considered to be the result of a linear filtering operation applied to a source distribution. We note that if the scattering is weak, the source distribution is independent of the scattered field and a holographic reconstruction (or in fact any far-field optical imaging system) behaves as a 3D linear shift-invariant filter applied to the refractive index contrast (which effectively defines the object). We go on to consider tomographic techniques that synthesize images from recordings of the scattered field using different illumination conditions. In our analysis, we compare the 3D response of monochromatic optical tomography with the 3D imagery offered by confocal microscopy and scanning white light interferometry (using quasi-monochromatic illumination) and explain the circumstances under which these approaches are equivalent. Finally, we consider the 3D response of polychromatic optical tomography and in particular the response of spectral optical coherence tomography and scanning white light interferometry.