What this experiment shows
In this model, the near-to-far width ratio is enlarged by 20% at 30 cm and 3% at 200 cm, relative to the underlying width ratio. The dimensions do not change; their projected sizes do.
Try the camera-distance simulation
Two fixed width segments, 6 cm apart in depth. Move the camera to see their relative apparent sizes change.
Projected near / far width
0.2880Relative enlargement of the near segment
12%Focal length cancels from the ratio at a fixed viewpoint. This model does not generate a face score.
Inputs and method
We project two horizontal segments through an ideal pinhole camera. The near segment is 3.6 cm wide; the far segment is 14 cm wide and 6 cm farther from the camera. We vary distance to the near plane from 30 to 200 cm. These dimensions are chosen for illustration, not measured from a person. Image width = focal length × segment width ÷ distance.
Calculation version: ARF calculation experiments 1.0. Engine: ARF Local Geometry v3.0.
Calculated results
| Distance (cm) | Projected width ratio | Relative enlargement (%) |
|---|---|---|
| 30 | 0.3086 | 20 |
| 50 | 0.288 | 12 |
| 100 | 0.2726 | 6 |
| 150 | 0.2674 | 4 |
| 200 | 0.2649 | 3 |
How to use this when reading your result
For a more comparable face photo, keep camera distance consistent. Changing focal length at a fixed viewpoint scales both segments equally, so their ratio stays the same. Moving the camera to keep the same framing changes perspective. Cropping a close selfie cannot undo that perspective.
What this experiment cannot tell you
This is an ideal two-plane projection, not a 3D head, a camera calibration or a face-score prediction. It omits lens distortion, pose, detection error and real facial depth variation. The percentages describe these chosen dimensions only.
Sources and calculation choices
- Nasal Distortion in Short-Distance Photographs: The Selfie Effect — Ward et al., JAMA Facial Plastic Surgery (2018). Background for why camera distance changes relative feature size in a perspective image. This paper does not test AI Rate Face. Our camera simulation uses its own stated dimensions and is not a reproduction of the study.
See the full source notes and methodology. To report an error, contact us with the page URL and the input or calculation that appears wrong.