# 物体空间分辨率

(1)$$\text{PMAG} = \frac{\text{传感器尺寸} \left[ \text{mm} \right]}{\text{视场} \left[ \text{mm} \right]}$$

(2)$$\text{物方分辨率} \left[ \tfrac{\text{lp}}{\text{mm}} \right] = \text{像方分辨率} \left[ \tfrac{\text{lp}}{\text{mm}} \right] \times \, \text{PMAG}$$

(3)$$\text{物方分辨率} \left[ \large{\unicode[arial]{x03BC}} \text{m} \right] = \frac{1000 \tfrac{ \large{\unicode[arial]{x03BC}} \text{m}}{\text{mm}}}{2 \,\times \, \text{物方分辨率} \left[ \tfrac{\text{lp}}{\text{mm}} \right]}$$
(4)$$\text{物方分辨率} \left[\large{\unicode[arial]{x03BC}} \text{m} \right] = \frac{\text{像素大小} \left[\large{\unicode[arial]{x03BC}} \text{m} \right]}{\text{PMAG}_{\text{系统的}}}$$

## 使用Sony ICX 625传感器的分辨率和放大倍率计算示例

\begin{align} \text{像方分辨率} \left[ \tfrac{\text{lp}}{\text{mm}} \right] & = \frac{1000 \tfrac{\large{\unicode[arial]{x03BC}} \text{m}}{mm}}{2 \, \times \, \text{像素大小} \left[\large{\unicode[arial]{x03BC}} \text{m} \right]} \\ \text{像方分辨率} \left[ \tfrac{\text{lp}}{\text{mm}} \right] & = \frac{1000 \tfrac{\text{lp}}{\text{mm}}}{2 \, \times \, 3.45 \left[\large{\unicode[arial]{x03BC}} \text{m} \right]} \approx \boldsymbol{145 \large{\unicode[arial]{x03BC}}} \textbf{m} \end{align}

\begin{align} \text{水平传感器尺寸} \left[ \text{mm} \right] & = \frac{\left( 3.45 \large{\unicode[arial]{x03BC}} \text{m} \right) \left( 2448 \right)}{1000 \tfrac{ \large{\unicode[arial]{x03BC}} \text{m}}{\text{mm}}} & = \boldsymbol{8.45} \textbf{mm} \\ \text{垂直传感器尺寸} \left[ \text{mm} \right] & = \frac{\left( 3.45 \large{\unicode[arial]{x03BC}} \text{m} \right) \left( 2050 \right)}{1000 \tfrac{ \large{\unicode[arial]{x03BC}} \text{m}}{\text{mm}}} & = \boldsymbol{7.07} \textbf{mm} \end{align}

PMAG:

$$\text{PMAG} = \frac{8.45 \text{mm}}{100 \text{mm}} = \boldsymbol{0.0845} \textbf{X}$$

Resolution:

$$\text{物方分辨率} = 145 \tfrac{\text{lp}}{\text{mm}} \times 0.0845 = 12.25 \tfrac{\text{lp}}{\text{mm}} \approx \boldsymbol{41 \large{\unicode[arial]{x03BC}}} \textbf{m}$$

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