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MIT Encyclopedia of the Cognitive Sciences - Cryptome

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Shape Perception<br />

This article concerns shape perception, so it is natural to<br />

consider what is meant by “shape.” Most readers undoubtedly<br />

have an intuitive feel for <strong>the</strong> meaning <strong>of</strong> <strong>the</strong> term, sensing<br />

its relatedness to such concepts as form and structure.<br />

Never<strong>the</strong>less, a precise definition <strong>of</strong> shape has proved elusive.<br />

Instead, experimenters have adopted <strong>the</strong> working definition<br />

that shape is an aspect <strong>of</strong> a stimulus that remains<br />

invariant despite changes in size, position, and orientation.<br />

For example, 2-D visual stimuli have <strong>the</strong> same shape if <strong>the</strong>re<br />

exists a transformation <strong>of</strong> spatial scale (e.g., magnification)<br />

or a rotation in <strong>the</strong> picture plane that renders <strong>the</strong>m identical.<br />

Similarly, 3-D objects have <strong>the</strong> same shape if <strong>the</strong>ir volumes<br />

can be equated by size changes or a combination <strong>of</strong> rotations<br />

about three spatial axes.<br />

Shape Perception 753<br />

Although our world is filled with objects and patterns,<br />

most studies <strong>of</strong> shape perception have used only 2-D stimuli.<br />

This emphasis reflects <strong>the</strong> belief that perception <strong>of</strong> 3-D<br />

form depends on <strong>the</strong> shape <strong>of</strong> 2-D regions in <strong>the</strong> retinal<br />

image. The fact that line drawings can evoke vivid percepts<br />

<strong>of</strong> 3-D form (see figure 1a) supports <strong>the</strong> idea that 2-D and 3-<br />

D shape perception are related, but how <strong>the</strong>y are related is<br />

still debated (cf. Attneave 1954; GIBSON 1950; Hochberg<br />

1964; K<strong>of</strong>fka 1935; MARR 1982). Fur<strong>the</strong>rmore, variables<br />

that affect LIGHTNESS PERCEPTION (e.g., shading) and<br />

DEPTH PERCEPTION (e.g., binocular disparity and relative<br />

motion) also affect form perception. How <strong>the</strong>se variables<br />

interact with 2-D shape to yield a 3-D percept is not well<br />

understood.<br />

In most viewing conditions, a pattern’s shape is closely<br />

related to <strong>the</strong> spatial arrangement <strong>of</strong> its contours. Thus,<br />

shape perception depends in part on feature extraction processes<br />

that encode edges and elementary features in <strong>the</strong> retinal<br />

image, and on processes that group elements into<br />

higher-order units (see GESTALT PERCEPTION). In <strong>the</strong> latter<br />

case, we can perceive both <strong>the</strong> shape <strong>of</strong> <strong>the</strong> individual elements,<br />

as well as <strong>the</strong> global shape <strong>of</strong> <strong>the</strong> grouped elements<br />

(figure 1b). Despite <strong>the</strong> close connection between contours<br />

and shape, simultaneous presentation <strong>of</strong> contours is nei<strong>the</strong>r<br />

necessary nor sufficient for shape perception. It is not necessary<br />

because shape is perceived even when only isolated<br />

parts <strong>of</strong> contour are presented. For example, in anorthoscopic<br />

stimuli a visual pattern is moved behind a stationary<br />

slit in an opaque screen: although only a small dot or line is<br />

visible at any one time, observers <strong>of</strong>ten perceive <strong>the</strong> shape<br />

<strong>of</strong> <strong>the</strong> hidden pattern. Simultaneous presentation <strong>of</strong> contours<br />

is not sufficient for shape perception because observers do<br />

not necessarily attend to everything in <strong>the</strong> visual field.<br />

Although some attributes <strong>of</strong> an unattended object, such as<br />

its presence, location, and color, can be perceived, ATTEN-<br />

TION appears to be required for shape perception (Rock and<br />

Gutman 1981; Rock et al. 1992). O<strong>the</strong>r top-down processes<br />

also affect shape perception, as is shown by ambiguous figures<br />

like <strong>the</strong> duck/rabbit pattern in figure 1c: The contours<br />

remain constant, but perceived shape depends on <strong>the</strong> interpretation<br />

<strong>of</strong> <strong>the</strong> figure. In some cases, <strong>the</strong> allocation <strong>of</strong><br />

attention to particular stimulus features can bias <strong>the</strong> percept<br />

<strong>of</strong> ambiguous figures (Peterson and Gibson 1991).<br />

Although clearly related to HIGH-LEVEL VISION phenomena<br />

such as OBJECT RECOGNITION, shape perception is better<br />

classified as an aspect <strong>of</strong> MID-LEVEL VISION because <strong>the</strong> perception<br />

<strong>of</strong> shape does not require recognition: One can perceive<br />

<strong>the</strong> shapes <strong>of</strong> novel stimuli that have no a priori<br />

meaning (figure 1d), and an observer can recognize objects<br />

based on surface properties like TEXTURE or color (Humphrey<br />

et al. 1994; see also SURFACE PERCEPTION). Never<strong>the</strong>less,<br />

shape provides important clues about an object’s<br />

identity, as well as information that is critical to manipulating<br />

objects and determining <strong>the</strong>ir functional properties or<br />

AFFORDANCES (e.g., Can I stand on this object?). Thus, it is<br />

not surprising that visual mechanisms encode shape rapidly<br />

and accurately. For example, <strong>the</strong> response time needed to<br />

name line drawings <strong>of</strong> familiar objects, or to determine if<br />

two novel polygons have <strong>the</strong> same shape, is approximately 1<br />

sec (Larsen 1985). Although <strong>the</strong>se response times are short,

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