Calculation error regarding focal length and field of view

Lounge
1

Hi there! I found a calculation error regarding the vertical field of view on these screenshot:

Screenshot_2024-12-30-15-10-12-693_com.stephaneginier.nomad
Screenshot_2024-12-30-15-10-12-693_com.stephaneginier.nomad1920×864 170 KB

Screenshot_2024-12-30-15-08-45-374_com.stephaneginier.nomad
Screenshot_2024-12-30-15-08-45-374_com.stephaneginier.nomad1920×864 161 KB

As you can see, a 35mm sensor has a dimensions of 36×24mm and your calculation is based on a sensor that has the size of 105×70mm or approximately 0.34x crop factor and with the previous version your calculation is already correct. So if FOV=90° then the focal length should be at 12mm and at 60° should be at 21mm. This is can be fixed by using this formula:
CodeCogsEqn (45)
CodeCogsEqn (45)627×262 5.55 KB

Read more information regarding focal length: What Is Focal Length in Photography? A Beginner's Guide
This table of image sensor size: https://imgcap.capturetheatlas.com/wp-content/uploads/2020/04/Digital-Camera-Sensor-Size-Comparison-Chart-1024x805.jpg

2

And please also extend the range till 0.1 degrees

1 Like
3

lower FOV limit would be great if technically possible without artifacts. Most screen caps from movies (cropped heads) have a 2-5° FOV.

4

It seems there was a calculation error related to the focal length and field of view. To resolve this, we can review the formula used and ensure that all variables, such as sensor size and lens focal length, are correctly applied. A small mistake in any of these values can lead to discrepancies in the final calculation. Let’s go over the steps carefully to correct the error.