摘要翻译：
调制传递函数(MTF)表示成像模态的频域响应。在这里，我们报告了一种从样本图像估计MTF的方法。测试图像是从一些图像中生成的，包括用电子显微镜和观测卫星拍摄的图像。这些原始图像用点扩展函数（PSFs）卷积，包括圆形孔径的点扩展函数。得到的测试图像进行傅立叶变换。傅立叶变换的平方范数的对数与原点的平方距离相对应。在对数图中观察到线性相关，表明测试图像的PSF可以用高斯近似。然后由高斯近似PSF计算MTF。得到的MTF与原PSF预测的MTF非常吻合。用该方法还估算了苍蝇脑X线显微断层切片的MTF。得到的MTF与由铝测试对象的边缘轮廓确定的MTF有很好的一致性。我们建议这种方法是一种估计MTF的替代方法，独立于图像类型。
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英文标题：
《Method for estimating modulation transfer function from sample images》
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作者：
Rino Saiga, Akihisa Takeuchi, Kentaro Uesugi, Yasuko Terada, Yoshio
  Suzuki, and Ryuta Mizutani
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最新提交年份：
2017
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分类信息：

一级分类：Electrical Engineering and Systems Science        电气工程与系统科学
二级分类：Image and Video Processing        图像和视频处理
分类描述：Theory, algorithms, and architectures for the formation, capture, processing, communication, analysis, and display of images, video, and multidimensional signals in a wide variety of applications. Topics of interest include: mathematical, statistical, and perceptual image and video modeling and representation; linear and nonlinear filtering, de-blurring, enhancement, restoration, and reconstruction from degraded, low-resolution or tomographic data; lossless and lossy compression and coding; segmentation, alignment, and recognition; image rendering, visualization, and printing; computational imaging, including ultrasound, tomographic and magnetic resonance imaging; and image and video analysis, synthesis, storage, search and retrieval.
用于图像、视频和多维信号的形成、捕获、处理、通信、分析和显示的理论、算法和体系结构。感兴趣的主题包括：数学，统计，和感知图像和视频建模和表示；线性和非线性滤波、去模糊、增强、恢复和重建退化、低分辨率或层析数据；无损和有损压缩编码；分割、对齐和识别；图像渲染、可视化和打印；计算成像，包括超声、断层和磁共振成像；以及图像和视频的分析、合成、存储、搜索和检索。
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一级分类：Physics        物理学
二级分类：Data Analysis, Statistics and Probability        数据分析、统计与概率
分类描述：Methods, software and hardware for physics data analysis: data processing and storage; measurement methodology; statistical and mathematical aspects such as parametrization and uncertainties.
物理数据分析的方法、软硬件：数据处理与存储；测量方法；统计和数学方面，如参数化和不确定性。
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英文摘要：
  The modulation transfer function (MTF) represents the frequency domain response of imaging modalities. Here, we report a method for estimating the MTF from sample images. Test images were generated from a number of images, including those taken with an electron microscope and with an observation satellite. These original images were convolved with point spread functions (PSFs) including those of circular apertures. The resultant test images were subjected to a Fourier transformation. The logarithm of the squared norm of the Fourier transform was plotted against the squared distance from the origin. Linear correlations were observed in the logarithmic plots, indicating that the PSF of the test images can be approximated with a Gaussian. The MTF was then calculated from the Gaussian-approximated PSF. The obtained MTF closely coincided with the MTF predicted from the original PSF. The MTF of an x-ray microtomographic section of a fly brain was also estimated with this method. The obtained MTF showed good agreement with the MTF determined from an edge profile of an aluminum test object. We suggest that this approach is an alternative way of estimating the MTF, independently of the image type.
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PDF链接：
https://arxiv.org/pdf/1711.09776