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Perspective and the Viewpointby: Kenneth R. Adams
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AbstractGeometrical perspective can provide a precise set of rules for the interpretation of a pattern of marks on a plane as a pattern of things in space. A viewer whose vision conforms to these rules will be highly responsive to the picture plane relative to his exact viewpoint. In the first part of the paper, the author examines in detail the responses of a hypothetical viewer sensitive only to the cues of geometrical perspective. In the second half, he describes an experiment on the perception of a perspective checkerboard under nine different conditions. Principal results are: (1) geometrical picture-space, as defined by perspective cues only, varies with the viewer's viewpoint as follows: g = kv, where v is the orthogonal distance from the viewpoint to the picture plane and g is the corresponding depth perceived in the picture-plane; and (2) perceptual picture-space, as determined by the interaction of several perceptual cues, falls substantially short of what a hypothetical 'geometrical man' would see. The loss is greater the greater the expected depth. Contrary to hypothesis, conditions of perceiver viewing, e.g. looking through a pinhole, do not substantially increase accuracy in interpreting linear perspective cues.
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