By Daniel T. Gillespie
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Example text
Chapter 4 Angles A second fundamental aspect of the physical arrangement of objects in space and the perceptions of this geometry is the angle made between two lines that meet—either explicitly or implicitly—at a point. Like the apparent length of lines, an intuitive expectation about the perception of angle subtense is that such a basic feature of what we see should scale with the dimensions of the angles projected in retinal images. It has long been known, however, that this is not what people see.
A vertically orientated test line (gray) appears to be tilted slightly counterclockwise in the context of an oblique “inducing” line rotated clockwise (black). C) The Z¨ollner illusion. In the standard presentation of this effect, the vertical test lines (gray) appear tilted in directions opposite to the orientations of the contextual lines (black). D) The Hering illusion. The two vertical lines (gray) appear bowed when presented in the context of radiating lines. (After Howe and Purves, 2005a) THE PROBABILITY DISTRIBUTION OF ANGLE SOURCES In much the same way that the physical sources of straight lines were sampled from the range images, the physical sources of angle projections can be identified using appropriate geometrical templates applied to scenes in the range image database described in Chapter 2.
2). By computing the frequencies of occurrence of the physical sources of target circles embedded in each of the different contexts as a function of the projected size of the target circles, we could in this way generate the probability distribution of the sources of the targets in the context of interest. Each of these distributions thus provides the basis for constructing an empirical scale that ranks the size of a target circle in a particular context. As in the case of lines and angles, the rank of a target in a given context indicates the percentage of the physical sources of target circles that generated projections smaller than the size of the given target, and the percentage that generated larger targets.
