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Perspective Calculator — Vanishing Points & Horizon
Calculate vanishing point positions and horizon line placement for perspective drawing.
How We Calculate This
This calculator determines vanishing point positions based on your paper size and perspective type.
Key principles
- Horizon line: Set as a percentage from the bottom of the paper — this is your eye level
- One-point VP: A single point on the horizon line, positioned by horizontal percentage
- Two-point VPs: Two points on the horizon, spread apart by the specified percentage of paper width and placed symmetrically about your chosen centre
- Recommended viewing distance: The distance at which the picture width exactly fills the cone of vision, D = width ÷ (2 × tan(cone ÷ 2)) — about 0.87 × width for a 60° cone
- Station point distance (two-point): Where you should stand for the construction to read correctly — the two vanishing points subtend a right angle at the viewer, so the distance is the geometric mean √(d₁ × d₂) of the two centre-to-VP distances
All vanishing points sit on the horizon line. The cone of vision is a fixed property of human sight — about 60° total, 30° each side of your line of sight. It does not change with where you place the horizon; everything inside the cone looks natural, and anything outside it begins to distort. Spreading the vanishing points wider (or standing further back) keeps your subject comfortably inside the cone.
Frequently Asked Questions
The horizon line represents eye level. Place it at 50% for a normal standing view, lower (30-40%) for a ground-level or worm's-eye view, or higher (60-70%) for a bird's-eye view. The horizon line determines the dramatic effect of your composition.
One-point perspective has a single vanishing point on the horizon and is used when viewing an object head-on (e.g. looking down a corridor). Two-point perspective uses two vanishing points and is used when viewing objects at an angle (e.g. the corner of a building).
Yes, vanishing points are often off the paper, especially in two-point perspective. You can tape extra paper to the sides, use a long ruler extending beyond your drawing, or calculate the positions mathematically using this tool.
The cone of vision is about 60 degrees — 30 degrees each side of your line of sight — and everything inside it looks natural. For a drawing to be free of distortion, the viewer should stand roughly 0.87 times the picture width away (the recommended viewing distance this tool reports). Place the vanishing points too close together, or stand too near, and the cone is exceeded and the perspective looks stretched.
The station point is the viewer's position in front of the picture. Because the two sets of edges meet at a right angle, the two vanishing points subtend a 90-degree angle at the station point. That places the station point on the semicircle whose diameter is the line between the vanishing points, so its distance from the picture plane is the geometric mean of the two centre-to-vanishing-point distances. With the vanishing points centred this is simply half the spread.
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Last updated: February 2026
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