Theoretical Analysis and Experimental Validation of Sampling Volume in Tilted Imaging System
Theoretical Analysis and Experimental Validation of Sampling Volume in Tilted Imaging System
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DOI：
10.1109/jphot.2015.2495126
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发表时间：
2015-10
影响因子：
2.4
通讯作者：
Hongxia Zhang;Jing Liu;Mengran Zhai;Ye Zhou;Dagong Jia;Tiegen Liu
中科院分区：
文献类型：
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作者：
Hongxia Zhang;Jing Liu;Mengran Zhai;Ye Zhou;Dagong Jia;Tiegen Liu
提出了一种在倾斜成像系统中精确计算采样体积的方法。研究了两种类型的倾斜成像系统，即，类型I（仅物平面相对于光轴倾斜）和类型II（物平面和像平面都相对于光轴倾斜）。基于几何光学理论，对这两种倾斜成像系统的采样体积进行了模拟计算。与成像系统的中心放大率、成像透镜的焦距和F数相比，物面倾角对采样体积的影响更为重要。建立了倾斜成像实验装置，采集了不同倾斜角度和倾斜位置的标定板图像，并通过图像处理得到了采样体积。实验结果与理论预测吻合得很好。随着倾斜角度的增加，对于I型系统，采样体积增加，而对于II型系统，采样体积减小。此外，II型系统的采样体积大于I型系统。在倾斜成像系统的许多定量应用中，采样体积的知识是必要的。
A method for accurately calculating the sampling volume in a tilted imaging system is proposed. Two types of tilted imaging systems are investigated, i.e., Type I (only the object plane is inclined to the optical axis) and Type II (both the object plane and the image plane are inclined to the optical axis). Based on geometrical optics, the sampling volumes of these two types of tilted imaging systems have been simulated. Compared with the central magnification of an imaging system and the focal length and F-number of the imaging lens, the effect of the tilted angle of the object plane on the sampling volume is determined to be more important. A tilted imaging experimental setup has been established, calibration plate images at various tilted angles and positions have been acquired, and the sampling volume has been obtained by image processing. The experimental results are in very good agreement with the theoretical predictions. As the tilted angle increases, for the Type-I system, the sampling volume increases, whereas for the Type-II system, the sampling volume decreases. In addition, the sampling volume of the Type-II system is larger than that of the Type-I system. Knowledge of the sampling volume is necessary in many quantitative applications of tilted imaging systems.