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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How it works
The calculator models a video wall of C columns × R rows of identical displays. From the diagonal (inches), the aspect ratio and the native resolution of each panel, plus the image-to-image bezel (the total gap between the images of two adjacent panels, in mm), it returns the total physical dimensions, the wall diagonal and area, the combined pixel resolution, the pixel pitch and the minimum viewing distance.
The geometry is straightforward: the active width of each panel is diagonal × aspW / √(aspW²+aspH²) × 25.4 mm (for 16:9, width ≈ 0.8716 × diagonal), the wall adds up C × width + (C−1) × bezel and the total resolution is (C × resH) × (R × resV). The pixel pitch is width_mm / resH and the minimum viewing distance is pitch × 3438 mm: the point where a 20/20 eye can no longer resolve individual pixels, because 1 arc minute equals 1/3438 radians.
Example: 2×2 wall with 55″ FHD panels and a 3.5 mm bezel
- 55″ 16:9 panel: active area of roughly
1218 × 685 mm. - Wall:
2 × 1218 + 1 × 3.5 ≈ 2439 mmwide and2 × 685 + 3.5 ≈ 1373 mmtall: about 2.44 × 1.37 m. - Total resolution:
3840 × 2160(4K equivalent); pixel pitch1218 / 1920 ≈ 0.634 mm. - Minimum viewing distance:
0.634 × 3438 ≈ 2.18 m: any closer and the eye starts resolving pixels.