oxford compendium of visual illusions chapter xx illusory color...
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Oxford Compendium of Visual Illusions
Arthur Shapiro and Dejan Todorovic, Editors
Chapter xx
Illusory Color Spread from Apparent Motion
Carol M. Cicerone1, Professor Emeritus, and Donald D. Hoffman, Professor
Department of Cognitive Sciences
University of California, Irvine
Irvine, CA 92697
1Corresponding author’s address: 2931 University Terrace, NW
Washington, DC 20016 USA
carolcicerone@nas.edu
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Abstract and Keywords
Color from motion describes the perception of subjective color that spreads over physically
achromatic regions that are seen in apparent motion. Multiple frames are shown in quick
succession, each frame composed of a random placement of differently colored dots on an
achromatic background. From frame to frame, the locations of all dots are fixed, whereas the
color assignments of dots in the test region change. Subjective color can be measured by color
matches to and cancellation by real lights; can be seen with chromaticity differences alone in test
and surround dots; and is independent of contour formation. In stereoscopic view, the perception
of depth, as well as color and form, can be recovered in tandem with seeing motion. We suggest
that in natural scenes, mechanisms triggered by motion may reconstruct the depth, color, and
form of partially obscured objects so that they can be seen as if in plain view.
Keywords: color from motion, subjective color, apparent motion, depth perception, camouflage
xx.1 Introduction
It is known that the visual system is capable of constructing illusory colors and contours that may
be absent in the physical stimulus (e.g., Grossberg, 1994; Kanisza, 1979; Michotte, Thines, &
Crabbe, 1964; Nakayama & Shimojo, 1990, 1992; Nakayama, Shimojo, & Ramachandran, 1990;
Peterhans & von der Heydt, 1991; van Tuijl, 1975; Varin, 1971; Yamada. Fujita, & Masuda,
1993). In particular, motion is effective in allowing the visual system to use multiple fragmented
views of an object over time to reconstruct its shape as a whole (e.g., Anderson & Braunstein,
1983; Andersen & Cortese, 1989; Gibson, 1979; Kaplan, 1969; Lappin, Doner, & Kottas, 1980;
Shipley & Kellman, 1983, 1984; Stappers, 1989; Wallach & O’Connell, 1953; Wertheimer,
1923; Yonas, Craton, & Thompson, 1987). We introduced (Cicerone & Hoffman, 1992) an effect
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called color from motion for which, the perception of apparent motion is accompanied by the
perception of illusory color that is seen in physically achromatic regions of the stimulus. We
(Cicerone, Hoffman, Gowdy, & Kim. 1995; Cicerone & Hoffman, 1997; Miyahara & Cicerone,
1997; Chen & Cicerone, 2002a, b) explored this phenomenon to define the conditions under
which it occurs, to understand how it might be useful to organize the visual scene, and to link it
to the perception of motion, contour, color, and depth.
A typical display of color from motion is shown in Figure 1. Each frame (8 deg of visual angle
on a side) consisted of an achromatic background field (CIE x = 0.276, y = 0.286, luminance 73
cd/m2) over which was randomly arrayed 800-1200 dots (each 3.5 min of arc in diameter).
Within a circular test region (typically 1 to 2 deg of visual angle in diameter), the dots were
colored green (CIE x = 0.280, y = 0.610). All other dots were red (CIE x = 0.621, y = 0.344). To
create successive frames, no dots changed their locations within the frame; only the color
assignments of the dots were changed, according to a uniform vertical displacement (0.12 deg of
visual angle) of the test region in successive frames. When frames are cycled, typically with an
effective displacement rate of the test region equivalent to 7 deg/sec, up and down over a vertical
region spanning 5 deg of visual angle, an illusory green disk moving up and down pops into view
and a spread of illusory green color is seen in the physically achromatic test region. This effect
and others described below can be viewed in an on-line publication of the Journal of Vision
(Chen & Cicerone, 2002a).
< Figure 1 here >
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The rating methods used in the early studies (Cicerone & Hoffman, 1992; Cicerone et al., 1995)
established the salience of the color spreading effect and its link to the perception of apparent
motion. Certain aspects of the illusory color, however, such as its saturation, require more
sensitive methodologies. Miyahara & Cicerone (1997) used a side-by-side matching method and
found that the hue of the subjective color spread approximates that of the test dots. In their
methodology, the matching stimulus was stationary and homogeneously colored, whereas the
color from motion stimulus was perceived as moving and included test and surround dots. Chen
& Cicerone (2002a) used real lights to cancel the subjective color spread in color from motion,
while keeping luminance constant, to measure the hue of the illusory color spread. An increase
in the luminance of the test dots produces an increase in the saturation of the physical lights
required to match the subjective color spread as measured by the side-by-side method (Miyahara
& Cicerone, 1997) and the cancellation method (Chen & Cicerone, 2002a).
xx.2 Perception of motion is essential in color from motion
Illusory color spread as measured by a rating method is linked to apparent motion of the test
region. Therefore, we asked if the salience of the color spread as measured with cancellation
was linked to the salience of the apparent motion (Chen & Cicerone, 2002a). We varied the
effective rate of vertical translation of the test region between zero and 12 deg of visual angle per
sec. The results for two observers (Figure 2) can be well described by two linear functions with
a steeply sloping first branch (from zero to 1 deg/sec) and a second branch with a much reduced,
near zero slope (from 1 deg/sec to 12 deg/sec). The general profile of the results suggests an all-
or-none relationship between apparent motion and illusory color spread. Observers report that as
the translation speed of the test region increases, the perception of the illusory, green-colored
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disk as a separate form that moves over the field of dots is enhanced. This perception of
separation is reported reliably for speeds exceeding 1 deg/sec. Concurrently, the test dots appear
to assume the color of the surround dots so that all dots appear to have the same color, in this
case red, even if the test dots are physically colored green. Thus, it appears that for speeds of
effective translation of the test region that are greater than 1 deg/sec there is little or no
enhancement of the illusory color spread whereas the salience of the perceived separation of the
figure – defined by the illusory color spread – from the array of dots is enhanced.
<Figure 2 here>
xx.3 Color from motion without contour formation
Is color from motion linked to contour formation as well as to the perception of motion?
Luminance contrast is known to be necessary for the formation of static subjective contours (e.g.,
Frisby & Clatworthy), for the perception of apparent motion in achromatic stimuli (e.g.,
Ramachandran & Gregory, 1978; Cavanagh, Boegelin, & Favreau, 1985), and for the perception
of achromatic neon spreading (e.g., Bressan, 1983). If, near equiluminance, color spread occurs
without the formation of a subjective contour, then color from motion is likely to be regulated by
mechanisms distinct from those regulating contour formation. Miyahara and Cicerone (1997)
tested this idea with green (test) and red (surround) dots that were matched in luminance as
determined for each observer individually by means of heterochromatic flicker photometry.
Chromaticity differences between the test dots and the surround dots in the absence of luminance
differences produced the perception of spread of color from motion. As the luminances of the
test and surround dots approach equality, the strength of the subjective contour surrounding the
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test region is reduced while the subjective color spread is still perceived. Observers reported that
in such equiluminant conditions, there is no clear contour bounding the region of the subjective
color spread and that apparent motion is “not smooth” and “slower” than the conditions in which
the test and surround dots differ in luminance (Chen & Cicerone, 2002a). These results are
consistent with findings that suggest that the neural mechanisms responsible for contour
formation rely on luminance information (e.g., Kanizsa, 1979; Marr, 1982; von der Heydt et al.,
1984). These findings support the idea that the mechanisms regulating color from motion are
separable from those regulating contour formation and that color spread can occur without
contour formation.
Another way to study the role of luminance differences is to use red-green dichromatic observers
who are incapable of making red-green discriminations on the basis of chromaticity
discriminations alone. Miyahara and Cicerone (1997) presented these stimuli to a deuteranope.
The deuteranope lacks the middle-wavelength-sensitive pigment and is therefore insensitive to
chromaticity differences in the middle- to long-wavelength range of the visible spectrum. In this
range, where our red and green stimuli lie, the deuteranope sees only luminosity differences,
based on the activity of the long-wavelength-sensitive cones. Thus, the results of a red-green
dichromat should allow us to assess the impact of luminosity differences alone for these stimuli.
When the luminosity of the green dots in the test region was high relative to that of the dots in
the surround, the deuteranope saw a bright disk moving over the test region. As expected, near
equiluminance between the test and surround dots, the deuteranope in our study saw no apparent
motion nor did he see brightness spread in the test region. This is in contrast to color normal
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observers who saw apparent motion and color spread without a clearly defined contour when test
and surround dots were matched in luminance.
xx.4 Modal versus amodal completion in color from motion
There are two modes in which color from motion is perceived, either (1) as a localized change of
illumination, a colored spotlight or shadow, moving over a textured surface (Cicerone &
Hoffman, 1992; Cicerone et al., 1995; Miyahara & Cicerone, 1997) or (2) as a moving, colored
object seen through apertures in an occluding surface (Cicerone & Hoffman, 1997; Chen &
Cicerone, 2002a). The mode in which color from motion is seen depends on figural cues and
regional differences in the luminance contrast between the chromatic elements and the
achromatic background. Regions with figural cues tend to be seen as moving. These regions are
seen in the first mode (modal completion, Figure 3, left) if their defining figural elements, dots in
this case, are of lower luminance as compared to the background and in the second mode
(amodal completion, Figure 3, right) if the defining figural elements are of higher luminance as
compared to the background. As compared with color from motion seen in modal completion,
the perceived color in amodal completion is markedly higher in saturation and the organization
of the scene is different in that objects are perceived to lie behind a partially occluding screen.
Nonetheless, in both cases, the perception of motion is linked to a spread of color over regions
defined by motion. Hence, the mechanisms driving the color spread, whether a desaturated
veiling color (modal completion) appearing to glide over the display or a highly saturated disk
(amodal completion) moving behind a partially-occluding screen, are likely to be the same.
<Figure 3 here>
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xx.5 Luminance relationships shape visual scene organization in color from motion
In still view of our standard stimulus, the small test region of green dots is clearly seen as the
figure, and the surrounding region of red dots is seen as the ground. Regardless of the luminance
of the achromatic background, the test region is seen to move and color spread is linked to this
moving region. To explore the importance of figural cues, Chen and Cicerone (2002a) used
stimuli composed of alternating bands of equal widths of red and green dots whose luminance
contrasts, as compared to the achromatic background, could be manipulated. For such stimuli
without clear figure/ground configurations, we asked whether color from motion remains a
salient effect and how luminance relationships help to organize the visual scene. Regardless of
the luminance of the achromatic background, apparent motion and color spread are associated
with regions of lower luminance contrast. A switch in perception of seeing red bands moving or
green bands moving occurs at each observer’s point of equiluminance between the red and green
stimuli. The relative widths of the bands of red and green dots were varied to test whether
figure/ground cues could supersede luminance cues. Indeed, for bands that are thin enough
(roughly an 8 to 1 ratio for our observers), the narrower bands (more figure-like) are seen as
moving regardless of luminance contrast relationships (Chen & Cicerone, 2002a).
xx.6 Color from motion is regulated at a point beyond binocular combination
The dependence of color spread on the perception of apparent motion in this phenomenon and
the spread of color in the absence of contour formation suggest that the locus of the mechanisms
underlying color from motion may be at a point beyond binocular combination. Evidence
supporting this idea was obtained by the dichoptic presentation of every other frame of the full
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stimulus sequence to one eye and, out of phase, the alternate frames to the other eye. To
overcome binocular rivalry, the eye that did not receive the standard stimulus was presented with
a stimulus that was identical in every way, except that the test dots were absent. A compelling
perception of color from motion, as measured by a rating method, is seen that is equal to that
obtained when the full stimulus sequence is presented to each eye alone (Cicerone & Hoffman,
1997). This is consistent with the regulation of color from motion at sites beyond the
convergence of monocular pathways.
Perhaps even more persuasively, Chen and Cicerone (2002b) showed that depth, as well as form
and color, is recovered from apparent motion. Stimuli were presented dichoptically with left
and right eye views identical as to the locations of all dots. Binocular disparity was introduced
by means of translations in the color assignments for corresponding image elements in the two
eyes. Horizontal crossed or uncrossed disparities of 0.5 deg of visual angle were created by
differences in color assignments alone. In random presentation of the crossed or uncrossed
horizontal displacements, observers were asked to judge if the illusory figure defined by the
color spread was behind or in front of the field of dots. In still view of the stimulus, binocular
rivalry occurs and neither apparent motion, nor color spread, nor depth is seen. In this case,
observers performed at chance level when required to judge depth. When the frames are cycled
at an effective rate of 7 deg/sec over a vertical distance upward and downward spanning 10 deg
of visual angle, apparent motion, color spread, and depth are perceived. In random presentations
of stimuli for crossed and uncrossed disparities in motion view, observers performed well above
chance (95% confidence interval) with some observers performing with 100 per cent accuracy.
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xx.7 General discussion
The distinctive features of color from motion
The effect we call color from motion is distinctive in a number of ways. First, neither contour
formation nor color spread is seen in still view of our stimuli. In this way it is distinct from static
neon color spreading, an effect that is well known, as we have reviewed above. Furthermore,
illusory color spread as seen in color from motion is not a general feature in motion stimuli; for
example, it is not reported in kinetic occlusion. Second, in color from motion, there are no
spatial displacements of the dots; only the color assignments of the dots change from frame to
frame. Apparent motion and the attendant illusory color spread are generated only by the change
in chromaticity or luminance of the dots. To buttress this second point, we created stimuli in
which the test region remains fixed in space and the test dots were set in motion either 1)
independently and randomly; 2) in unison along the same trajectory; or 3) in unison along a
random trajectory. Naïve observers were tested with all of these stimuli, and none reported
seeing color spread (Chen & Cicerone, 2002a). Third, although the saturation of the illusory
color spread increases with increases in the luminance of the test dots, the luminance of the dots
in the surround region has no impact on the illusory color spread when the chromaticities of the
test and surround dots differ (Chen & Cicerone, 2002a). This differentiates color from motion
from color contrast, wherein the luminance of surround elements has considerable impact.
Fourth, subjective color spread is seen without the perception of a subjective contour near the
point of equiluminance between test and surround dots, as long as there is a chromaticity
difference between the dots (Miyahara & Cicerone, 1997). This result suggests that the spread of
illusory color in color from motion does not require the prior formation of a contour and that
color, independent of contour, can be recovered in tandem with seeing motion.
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When color from motion is seen in modal completion, the low saturation and neon-like quality of
the illusory color spread is reminiscent of the quality of the perception in displays of
transparency. Is color from motion the same as transparency? We argue that it is not for the
following reasons. First, the perception of transparency occurs in displays due to both figural
and luminance cues that are already present in the stimulus (e.g., Adelson, 1983; Beck, 1978; da
Pos, 1989; D’Zmura, Colantani, Knoblauch, & Laget, 1997; Metelli, 1974), whereas in color
from motion a new colored surface, with or without a border, is created by the visual system in
physically achromatic regions. In other words, when transparency is perceived, physically
present but differentiated regions are unified into a single perceptual layer, whereas in color from
motion, an entirely new, and illusory layer is constructed by the visual system. Second, motion
is not required for transparency to be perceived, whereas color from motion requires the
perception of apparent motion and is never seen in still view. Third, color from motion can be
seen in amodal completion (Cicerone & Hoffman, 1997; Chen & Cicerone, 2002a), a perception
that differs markedly from any of the characteristics of transparency.
Our results indicate that color from motion is regulated at a point beyond binocular combination
(Cicerone and Hoffman, 1997), that it requires the concurrent, if not prior, perception of motion
(Cicerone et al., 1997; Chen & Cicerone, 2002a); that in addition to form and color, depth can be
recovered in color from motion (Chen & Cicerone 2002b); and that figure/ground configuration
can override luminance relationships as the determinant of which areas appear to move and to be
filled with illusory color (Chen & Cicerone, 2002a). Considering our current understanding of
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visual processing in the primate brain, these findings suggest that the mechanisms supporting the
perception of color from motion include neural processing at higher levels.
The functional significance of color from motion
Can our results be related to the visual system’s ability to break visual camouflage? In natural
scenes, objects or surfaces may not be perceived because of the color, luminance, or texture of
nearby surfaces. We reasoned that if color from motion is a robust camouflage-breaking
mechanism, then it should be able to render the test object visible even when color is not an
obvious cue. The stimulus was modified so that a proportion (0 to 0.8) of the dots in the
surround region were green instead of all red. In still view, the test region with green dots was
not reliably seen; thus, in still view, the test region was effectively camouflaged. Nonetheless,
when the stimulus sequence was cycled as before and apparent motion was perceived, a moving,
illusory green disk was seen (Cicerone & Hoffman, 1997).
In other natural scenes, objects may be hidden from full view by occlusion. To mimic this
situation, we reduced the illumination of the achromatic background in our stimuli to show that
color from motion can be seen in amodal completion as a highly saturated green disk that moves
over a highly saturated red background, all seen through random perforations in a dark screen
(Cicerone & Hoffman, 1997; Chen & Cicerone, 2002a). The mode in which color from motion
is seen depends on figural cues and on regional differences in luminance contrast between the
chromatic elements and the achromatic background (Chen & Cicerone 2002a).
In still view, the physical representation of the scene may give an equivocal interpretation of
objects and surfaces. When the test is seen in apparent motion, subjective color spread helps to
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reveal the hidden object in modal or in amodal completion. Furthermore, not only form and
color, but also depth can be recovered in tandem with seeing motion. We propose that the neural
mechanisms that support perceptions in color from motion may be the same as those that work in
natural scenes to reveal form, color, and depth to the visual system, even when it is confronted
with fragmented physical information, as occurs in camouflage.
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Figure Captions
Figure 1. A typical display of color from motion is shown. Each frame (8 deg of visual angle on
a side) consists of an achromatic background field (CIE x = 0.276, y = 0.286, luminance 73
cd/m2) over which was randomly arrayed 800-1200 dots (each 3.5 min of arc in diameter).
Within a circular test region (typically 1 to 2 deg of visual angle in diameter), the dots were
colored green (CIE x = 0.280, y = 0.610). All other dots were red (CIE x = 0.621, y = 0.344).
The luminance of the red and green dots could be independently varied. To create successive
frames, no dots changed their locations within the frame; only the color assignments of the dots
were changed, according to a uniform vertical displacement (0.12 deg of visual angle) of the test
region in successive frames. On the left: Still views of successive frames are depicted. On the
right: When frames are cycled, typically with an effective displacement rate of the test region
equivalent to 7 deg/sec, up and down over a vertical region spanning 5 deg of visual angle, an
illusory green disk moving up and down pops into view and a spread of illusory green color is
seen in the physically achromatic test region.
Figure 2. (Adapted from Chen & Cicerone, 2002a) The salience of the color spread as measured
with cancellation is linked to the salience of the apparent motion. We varied the effective rate of
vertical translation of the test region between zero and 12 deg of visual angle per sec. The
Cicerone & Hoffman
16
results for two observers can be well described by two linear functions with a steeply sloping
first branch (from an effective speed of translation from zero to 1 deg/sec) and a second branch
of much reduced or zero slope (from 1 deg/sec to 12 deg/sec).
Figure 3. There are two modes in which color from motion can be perceived, either in modal
completion (left) as a localized change of illumination, a colored spotlight or shadow, moving
over a textured surface or in amodal completion (right) as a moving, colored object seen through
apertures in an occluding surface. The mode in which color from motion is seen depends on
figural cues and regional differences in the luminance contrast between the chromatic elements
and the achromatic background. Regions with figural cues tend to be seen as moving. These
regions are seen in modal completion if their defining figural elements (dots in this case) are of
lower luminance as compared to the background and in amodal completion if the defining figural
elements are of higher luminance as compared to the background.
Still View of Single Frames Apparent Motion
Speed (deg/sec)
Canc
ella
tion
Valu
e (c
d/m
)2
0 5 10 15
0.2
0.4
0.6
ModalAmodal
Apparent Motion
Modal Amodal
Apparent Motion
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