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How to get the distance in meters from the center of a parabolic image to a point?

I have a distance from the center of a 360° image to a particular point in pixels. I am trying to find a way to map that distance into dinstance in meters.

The image is captured by a camera looking towards a parabolic mirror directly above it.

The following assumptions are made:

  • The surrounding ground is always flat.
  • The height of the mirror-camera configuration is fixed.

Here is an image to help you understand the configuration. I am testing it on a small soccer field.

image description