Concept

Forced perspective — where it appears

A set built from real objects cut so that their picture from one point is the picture a deeper scene would have sent, with every dimension scaled by the depth ratio. It is an anamorph made of objects rather than of marks, so its second eye is given a shallow scene that is consistent rather than none at all.

Named by 3 essays across one field — each of them below, with the objects they name alongside it.

ground line — right from anywherefaint: intended · solid: seendeparture (mm) against height (m)01.38the error map is an elation, with the ground line as its axisno characteristic ratio — nothing off the axis is fixed250 mm sidewayszero on the axis, 212.5 mm at the top

Where the anamorph still works

A picture correct from one point raises an obvious question that nobody answers with a number — how far may the eye move. The answer here is exact rather than approximate: a wrong viewpoint composes the intended picture with a central collineation whose axis is the line the picture stands on, so the error is zero along that line and grows linearly upward, and a step sideways costs precisely as much as the same step upward.

viewing · Anamorphreach
eyefaint: the row it imitates · solid: the row that is builtbuilt row21.0 pxthe deep row28.4 pxdisparity across the row, two eyes 63 mm apartfar column cut to 0.300the eyes read 74.1%, not 22.2%

A set cut for one eye

Build a colonnade four metres deep and cut every column so that its picture is the picture of one eighteen metres deep. The taper is forced rather than chosen — height and width both scale as the real depth over the intended one — and the match from the design eye is exact to sixteen decimal places. What gives it away is the second eye, and not by the ratio anybody would predict.

viewing · Builtset
toward the designup63 mm apart10 mm14 mm across36 mm along the sight line

An anamorph has one eye

From the design point exactly — a camera's single eye — the floor marks give the design back to sixteen decimal places. A head carries two eyes 63 mm apart, and neither of them is the design point. The difference between the disparity the floor gives and the disparity an upright board would give runs to 47 arcminutes, against a stereoacuity of a few tens of arcseconds. This is why pavement paintings are photographed.

viewing · Builtset

Named alongside it

The objects these essays reach for when they reach for this one.

AnamorphosisStation pointDemonstrationDepth cueFree parameterViewing distanceViewing toleranceBinocular disparityCentral collineationCharacteristic ratioCollineationDepth compression

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