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• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 电子工程代写|三维成像代写Three-Dimensional Imaging代考|Pickup Stage

Let us first consider the simpler case of integral imaging with a pinhole array. During the pickup stage, each pinhole projects a particular object point onto the elemental image plane. The locations of the projections depend on both the lateral and the longitudinal position of the original object (Fig. 2.1(a)). In particular, the distance between the different projections of the same point is related to the distance of this point. The depth information is thus captured through the relationships between elemental images. Because a single ray is selected by each pinhole, the projected points are equally obtained for any distance of the object.

Now pinholes are not actually usable since they strongly reduce the amount of collected light. In practice, the elemental images are obtained with an array of lenslets. We consider here the case of paraxial optics without aberrations other than defocus. Each lenslet collects a whole beam of rays emitted by an object point and concentrates it to form an image point (Fig. 2.1(b)). The relation between the object distance $l$ and the conjugate image distance $d$ is given by the lens law
$$\frac{1}{l}+\frac{1}{d}=\frac{1}{f},$$
where $f$ is the focal length of the lenslet. Unfortunately, image distance $d$ does not necessarily correspond to the distance of the sensor $d_{0}$. In that case, the projection of the object point onto the sensor plane is spatially expanded, meaning that the obtained elemental image is blurred. Only objects at distance $l_{0}$, conjugate of $d_{0}$, will exactly appear in focus. Figure $2.2$ presents the intensity image of a point object – or Intensity Point Spread Function IPSFfor various object distances corresponding to defocuses of $W_{20}=0, W_{20}=3 \lambda$, $W_{20}=5 \lambda$ and $W_{20}=7 \lambda$, respectively (see Section 2.3). It can be seen that the blurring effect is all the stronger as the object is farther away from the in-focus plane. The depth-of-field can be defined as the range of distances $l$ around $l_{0}$ such that the defocus effect is barely perceivable, which can be expressed as.

## 电子工程代写|三维成像代写Three-Dimensional Imaging代考|Reconstruction Stage

For the reconstruction stage, we set aside the limitation of the depth-of-field explained in the previous section. We thus assume that the elemental images are all sharp. For instance, they may have been obtained through a pinhole array or computationally generated. These elemental images are displayed at a distance $d_{0}$ from the imaging array. When the reconstruction is done using a pinhole array, the rays coming from different elemental images recombine at the 3 -D location of focused to a point at this location (see Fig. 2.6(b)). Only objects that were originally located at distance $l=l_{0}$ are sharply reconstructed. Figure $2.7$ provides images of the reconstruction of the scene in Fig. 2.4 in various planes. As mentioned above, the objects are reconstructed in their correct locations, but are all the more blurred as this location is far away from the conjugate plane of the elemental image display plane $l_{0}=100 \mathrm{~mm}$.

There exists an interval distance around the in-focus plane $l_{0}$ where the defocus is barely noticeable. This range is called depth-of-focus and is defined similarly to the depth-of-field described in Section 2.2.1.

# 三维成像代考

## 电子工程代写|三维成像代写Three-Dimensional Imaging代考|Pickup Stage

$$\frac{1}{l}+\frac{1}{d}=\frac{1}{f},$$

## 有限元方法代写

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

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