Enter the resolution, field of view, distance, and pixels per degree into the calculator to determine the missing variable.
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Pixels Per Degree To Resolution Formula
The following formula is used to calculate the resolution for a given field of view, distance, and pixels per degree.
R = 2 * tan((FOV / 2) * (π / 180)) * D * PPD
Variables:
- R is the resolution
- FOV is the field of view in degrees
- D is the distance
- PPD is the pixels per degree
To calculate the resolution, multiply 2 by the tangent of half the field of view (converted to radians), then multiply by the distance and pixels per degree.
| Resolution (horizontal px) | Field of View (°) | Pixels per Degree (px/°) |
|---|---|---|
| 1280 | 60 | 21.33 |
| 1280 | 90 | 14.22 |
| 1920 | 60 | 32.00 |
| 1920 | 90 | 21.33 |
| 1920 | 120 | 16.00 |
| 2560 | 90 | 28.44 |
| 2560 | 100 | 25.60 |
| 2560 | 110 | 23.27 |
| 3440 | 100 | 34.40 |
| 3440 | 120 | 28.67 |
| 3840 | 90 | 42.67 |
| 3840 | 110 | 34.91 |
| 3840 | 120 | 32.00 |
| 4096 | 90 | 45.51 |
| 5120 | 100 | 51.20 |
| 5120 | 110 | 46.55 |
| 5120 | 120 | 42.67 |
| 7680 | 90 | 85.33 |
| 7680 | 100 | 76.80 |
| 7680 | 120 | 64.00 |
| Formula: PPD = horizontal resolution (px) ÷ FOV (degrees). If starting from megapixels, convert to horizontal pixels using the aspect ratio first. | ||
What is Pixels Per Degree?
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.
How to Calculate Pixels Per Degree?
The following steps outline how to calculate the Pixels Per Degree.
- First, determine the resolution (R).
- Next, determine the field of view (FOV) in degrees.
- Next, determine the distance (D).
- Finally, calculate the Pixels Per Degree using the formula PPD = R / (2 * tan((FOV / 2) * (π / 180)) * D).
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Resolution (R) = 1920
Field of view (FOV) = 90 degrees
Distance (D) = 1 meter
Pixels Per Degree (PPD) = 20