论文标题
成像系统的统计模型
A Statistical Model for Imaging Systems
论文作者
论文摘要
光子的行为由量子力学控制,不像经典光学器件那样确定性。为此,我们定义了一个新的统计$ z $,该元素等于差异减去期望或均值。然后,我们建立了一个用于成像系统的统计模型,并获得了三个基本成像公式。其中,第一个公式与经典的卷积方程完全一致。第二和第三个将$ z $数量的对象和噪声链接到$ z $图像和协方差图像,揭示了新法律。因此,除了磁通密度外,对象的$ z $数量也可成像,这为成像系统打开了一个新的境界来探索物理世界。
The behavior of photons is controlled by quantum mechanics, not as deterministic as classical optics shows. To this end, we defined a new statistic $Z$, which is equal to the variance minus the expectation or mean. Then, we established a statistical model for imaging systems and obtained three fundamental imaging formulas. Among them, the first formula is entirely consistent with the classic convolution equation. The second and third ones link the $Z$ quantities of the object and noise elegantly with the $Z$ image and covariance image, revealing new laws. Consequently, besides the flux density, the $Z$ quantity of an object is also imageable, which opens a new realm for imaging systems to explore the physical world.