### 传统相机相关概念

#### F值(F-number)

$N=f/D​$

### 光场和传统成像

#### 传统相机的成像原理

$I(x,y) = \int\int L(u,v,x,y)dudv\qquad(1)$

### 光场相机设计

#### 光学设计

$f = \frac{ab}{a+b}\qquad(2)$

$\frac{b}{d}=\frac{a+b}{D}\qquad(3)$

$\frac{p}{b}=\frac{D}{a}\qquad(4)$

$b = \frac{pf}{d}\qquad(5)$

$\frac{a}{D}=\frac{f}{d}\qquad(6)$

### 光场处理

The purpose of capturing the additional two dimensions of data is to allow us to apply ray-tracing techniques to compute synthetic photographs flexibly from the acquired light.

#### 视角和光圈变换

$I(x,y)=\int_{u}^{u+\Delta u} \int_{v}^{v+\Delta v} L(u,v,x,y)\qquad(7)$

#### 数字对焦和数字变焦

##### 数字对焦

$I(s')=\int L'(u,s')du\qquad (8)$

$L(u,s)=L'(u,s')\qquad (9)$

$\frac{s'-u}{l'}\qquad(10)$

$s = \frac{s'}{\alpha}+u(1-\frac{1}{\alpha})\qquad(11)$

$I(s')=\int L(u,\frac{s'}{\alpha}+u(1-\frac{1}{\alpha}))du\qquad (12)$

##### 数字变焦

$L(u,s)=L'(u,s_x)\qquad (13)$

$\frac{1}{l_0}+\frac{1}{l}=\frac{1}{F}\qquad (14)$ $\frac{s_0}{-l_0} = \frac{s}{l} \qquad(15)$

$\frac{1}{l_0}+\frac{1}{l'}=\frac{1}{F'}\qquad (16)$ $\frac{s_0}{-l_0} = \frac{s'}{l'} \qquad(17)$

$\frac{u-s'}{l'}=\frac{u-s_x}{l}\qquad(18)$

$s = s_x -u(1-\frac{1}{\beta})\qquad(19)$

$L'(u,s_x) = L(u,s_x-u(1-\frac{1}{\beta}))\qquad (20)$

$I(s_x)=\int L'(u,s_x)du=\int L(u,s_x-u(1-\frac{1}{\beta}))du\qquad(21)$

### 结语

Storing this type ofdatais highly challenging as the 7 dimensions introduce large amounts of data.[5]

### 参考资料

[5]Rufael Mekuria,Network Streaming and Compression for Mixed Reality Tele-Immersion