Horizon and lens projection

Plot the same geometric horizon through three camera projections. Change camera pitch and field of view to see how a misplaced horizon and a wide-angle lens alter the displayed line.

Geometric horizon dip0 °
Camera pitch10 °
Horizontal field of view100 °

Each line uses horizon dip 0°, camera pitch 10° and a 100° horizontal field. The coordinate scale is shared, so the lens models can be compared without stretching each line separately.

Solid · rectilinearDashed · equidistantDotted · equisolid

Read this calculation

Image radius: tan θ, θ, or 2 sin(θ/2)

The diagram projects rays onto a normalized image plane: rectilinear uses tan θ, equidistant uses θ and equisolid uses 2 sin(θ/2). All three receive exactly the same horizon directions.

A photograph needs the lens projection, calibration and camera orientation before its line shape can be compared with this plot. Keep the original image and its lens information alongside any edited version; the calculator changes ray projection rather than rewriting a photograph.