Video Wall
Define the display matrix (columns × rows), size, resolution and bezel and I compute the total dimensions, wall resolution, pixel pitch and the viewing distance where the eye no longer resolves pixels.
Detail
How it is calculated · geometry and vision
1. From the diagonal and aspect ratio,
each panel's active width and height:
width = diag · aspW / √(aspW²+aspH²) · 25.4 mm
(for 16:9, width ≈ 0.8716 · diag and height ≈ 0.4903 · diag).
2. The wall adds up panels and bezels:
wall width = C·displayW + (C−1)·bezel and
wall height = R·displayH + (R−1)·bezel. The bezel is the
image-to-image gap (total space between two images).
3. Wall resolution:
(C · resH) × (R · resV) pixels.
4. pixel pitch = displayW_mm / resH
(mm per pixel). The minimum viewing distance, where a 20/20 eye no
longer resolves pixels (1 arcmin), is pitch · 3438 mm,
because 1 arcmin = 1/3438 rad.
Note: the bezel adds neither image width nor resolution; it only physically separates the panels. The viewing distance ignores the bezel.
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