The formula to calculate the resolution (R) is:
\[ R = 2 \times \tan\left(\frac{FOV}{2} \times \frac{\pi}{180}\right) \times D \times PPD \]
Where:
Pixels per degree (PPD) is a measure of the resolution of a display or imaging system in terms of the number of pixels that fit into one degree of the field of view. It is commonly used in virtual reality, augmented reality, and other applications where the clarity and detail of the image are critical. A higher PPD value indicates a higher resolution and better image quality.
Let's say the field of view (FOV) is 90 degrees, the distance (D) is 2 meters, and the pixels per degree (PPD) is 30. Using the formula:
\[ R = 2 \times \tan\left(\frac{90}{2} \times \frac{\pi}{180}\right) \times 2 \times 30 = 2 \times \tan(45^\circ) \times 2 \times 30 = 2 \times 1 \times 2 \times 30 = 120 \]
So, the resolution is 120.