论文标题

散焦的点传播功能估计

Point Spread Function Estimation of Defocus

论文作者

He, Renzhi, Zhuang, Yan, Fu, Boya, Liu, Fei

论文摘要

该点扩散函数(PSF)在许多计算成像应用中起着至关重要的作用,例如焦点/散焦,深度估计和荧光显微镜的形状。但是,散焦过程的数学模型尚不清楚。在这项工作中,我们开发了一种替代方法来估计点扩散函数的精确数学模型来描述散焦过程。我们首先为PSF得出数学算法,该算法用于生成模拟的焦点图像以进行不同的焦点深度。然后,我们计算模拟集中的图像与真实集中图像之间相似性的损失函数,在该图像中,我们根据Defocus直方图设计了一种新颖而有效的度量,以评估聚焦图像之间的差异。解决损失函数的最小值后,这意味着我们找到了PSF的最佳参数。我们还构建了一个由聚焦系统和结构化的光系统组成的硬件系统,以获取具有相应焦点深度的集中图像,以及相同视图中的深度图。作为数据集的三种类型的图像用于获得精确的PSF。我们对标准平面和实际对象的实验表明,所提出的算法可以准确描述散焦过程。通过评估实际集中图像之间的差异,即我们的算法产生的焦点图像,即其他人生成的焦点图像,进一步证明了我们的算法的准确性。结果表明,我们的算法的损失平均比其他算法少40%。

This Point spread function (PSF) plays a crucial role in many computational imaging applications, such as shape from focus/defocus, depth estimation, and fluorescence microscopy. However, the mathematical model of the defocus process is still unclear. In this work, we develop an alternative method to estimate the precise mathematical model of the point spread function to describe the defocus process. We first derive the mathematical algorithm for the PSF which is used to generate the simulated focused images for different focus depth. Then we compute the loss function of the similarity between the simulated focused images and real focused images where we design a novel and efficient metric based on the defocus histogram to evaluate the difference between the focused images. After we solve the minimum value of the loss function, it means we find the optimal parameters for the PSF. We also construct a hardware system consisting of a focusing system and a structured light system to acquire the all-in-focus image, the focused image with corresponding focus depth, and the depth map in the same view. The three types of images, as a dataset, are used to obtain the precise PSF. Our experiments on standard planes and actual objects show that the proposed algorithm can accurately describe the defocus process. The accuracy of our algorithm is further proved by evaluating the difference among the actual focused images, the focused image generated by our algorithm, the focused image generated by others. The results show that the loss of our algorithm is 40% less than others on average.

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