Distortions of length perception

A combined influence of stimulus orientation and structure on the judgement of length was tested in psychophysiological experiments. The subjects adjusted the test part of a stimulus to be equal in length to the reference part. The orientation of the parts of the stimulus varied in the experiments. The stimuli (three dots or the Oppel-Kundt figure, which had ten dots within the filled part) were generated on the monitor. In the Oppel-Kundt figure, the filled part was considered as a reference and the empty part as a test. In sessions of the experiments, values of errors were measured as functions of the size and orientation of the stimulus. The reference part length varied within 14–150 min arc range, and the orientation was fixed in 0°, 90°, 180° or 270° positions. The orientation of the test part varied from 0° to 360° in 7° steps. We assume, that the experiments with the three-dot stimuli yielded pure characteristics of visual field anisotropy, while those with the Oppel-Kundt figure showed the combined effect of both the components (anisotropy and spatial filtering). The data demonstrated independence of the two factors from each other in a simultaneous manifestation. The characteristics of a pure Oppel-Kundt illusion have been found to be in close correspondence with the predictions of the model of spatial filtering. Received: 1 July 1998 / Accepted in revised form: 4 November 1998     

Geometrical illusions: study and modelling

The phenomena of geometrical illusions of extent suggest that the metric of a perceived field is different from the metric of a physical stimulus. The present study investigated the Müller-Lyer and Oppel-Kundt illusions as functions of spatial parameters of the figures, and constructed a neurophysiological model. The main idea of the modelling is based on the uncertainty principle, according to which distortions of size relations of certain parts of the stimulus, so-called geometrical illusions, are determined by processes of spatial filtering in the visual system. Qualitative and quantitative agreement was obtained between psychophysical measurement of the strength value of the illusions and the predictions of our model. Received: 18 June 1996 / Accepted in revised form: 24 June 1997     

Discrimination of a Right Angle with Monocular and Cyclopic Perception

Psychophysical tests with monocular and cyclopic perception were carried out to evaluate the accuracy of discrimination of right, acute, and obtuse angles. Tests with monocular perception were carried out with stimuli made by light line segments, spots, or elements of the Oppel-Kundt and Muller-Lyer figures. In tests with cyclopic perception, pairs of V-shaped stimuli with an identical orientation in the visual field and equal length of the sides but different divergence angles were presented to the different eyes of subjects. The test data demonstrated features of the perception of a right angle, namely, a high accuracy of reproduction, periodicity of errors as a function of the general orientation of a stimulus, similar characteristics of the manifestation of geometric illusions in angle reproduction and length comparison, and the manifestation of Hering’s law in cyclopic perception. These results agree with the multilocal hypothesis, which explains the perception of right and other angles on the basis of the information about the coordinates of stimulus parts.__________Translated from Fiziologiya Cheloveka, Vol. 31, No. 4, 2005, pp. 14–26.Original Russian Text Copyright © 2005 by Bulatov, Bertulis, Bulatova.     

Distortions on Length Perception in a Combination of Illusionary Figures

In psychophysiological experiments, subjects were asked to compare the lengths of the test and control parts of stimuli constructed of two variants of superimposed illusionary figures: (1) two Müller–Lyer figures of the same body length but different in contrast, wing lengths, or tilt angles or (2) Müller–Lyer and Oppel–Kundt figures. Experiments with superimposed Müller–Lyer figures showed that the strength of illusion is determined by differences in the wing lengths and tilts, as well as the difference in the absolute contrast levels of the figures. Similar dependences were also found in experiments with stimuli formed by superimposing the Müller–Lyer and Oppel–Kundt figures. The data showed that simultaneous presentation of superimposed figures causes an illusion, which cannot be decomposed into parts, and the results of these experiments cannot be explained by summation of the effects of the figures. It is suggested that illusions caused by figures with different spatial organizations, such as Müller–Lyer and Oppel–Kundt figures, have common mechanisms. Calculations based on our model are fully consistent with experimental data and support the hypothesis based on the principles of spatial–frequency filtration of the image at the level of the primary visual cortex.     

Space and time in visual context

No sensory stimulus is an island unto itself; rather, it can only properly be interpreted in light of the stimuli that surround it in space and time. This can result in entertaining illusions and puzzling results in psychological and neurophysiological experiments. We concentrate on perhaps the best studied test case, namely orientation or tilt, which gives rise to the notorious tilt illusion and the adaptation tilt after-effect. We review the empirical literature and discuss the computational and statistical ideas that are battling to explain these conundrums, and thereby gain favour as more general accounts of cortical processing.     

Perception of visual image size by school students of different ages

In psychophysical experiments, 209 high school students with normal vision, 8 to 16 years old, were examined to study the perception of visual image sizes. Observers assessed the length of linear arrow-like figures (the Müller-Lyer illusion) or the length of single lines without arrow-like ends. Distortion of line size perception by 17–21% was obtained in the Müller-Lyer illusion independent of the age of observers. Distortion of size perception was absent in the case of estimation of the length of single line segments. The size differentiation thresholds gradually decreased in both cases with increasing age of observers and were correlated with the acuity of vision. For single lines, they were, on average, 1.3 times lower than the thresholds in the Müller-Lyer illusion. The probable mechanisms of the Müller-Lyer illusion are discussed. The experimental results demonstrate stability of illusion for observers aged 8–16 years, which may be connected with preferential contribution of the lower levels of the visual system to the appearance of the illusion.     

Reference frame for rapid visual processing of line orientation.

Detection of a uniquely oriented line element in a background field of uniformly oriented line elements depends on the orientation of the background field. Is the orientational reference frame for this anisotropy entirely dependent on the orientations of structures outside the line-element display, the spatial regularity of the stimulus elements, and the direction of gravity? The effects of these potential cues were investigated in target-detection experiments with brief displays. The anisotropy was found whether or not gravitational or visual cues defined an orientational reference frame. Stimulus orientation may be coded with respect to the retina or body axis in rapid visual processing.     

Size as a parameter for tuning visual attention]

The ability of visual attention to tune to the stimulus size (when this size could not be described by spatial frequencies) was studies. Sinusoidal gratings with frequencies of 1.5, 3, and 6 cycle/degree were used as test stimuli. All these stimuli consisted of 3 periods, consequently, they had different sizes: 2 x 2, 1 x 1, and 0.5 x 0.5 degrees. Three reference stimuli had the same sizes but were constructed as a superposition of all the test frequencies. The reference stimulus of suprathreshold contrast was displayed for 400 ms to the left or to the right of a fixation point at a distance of 3 degrees. After that, the test stimulus of threshold contrast was for 100 ms displayed symmetrically to the fixation point on the other side. Subjects were instructed that the sizes of the reference and test stimuli were the same. It was found that the probability of test detection decreased with increase in the difference between the sizes of the reference and test stimuli. Since in our experiments the spatial frequency could not be used for tuning visual attention, the obtained results suggest that there are specialized mechanisms in the visual system for estimation of the general image size.     

Theoretical study of intracellular stress fiber orientation under cyclic deformation

We studied stress fiber orientation under a wide range of uniaxial cyclic deformations. We devised and validated a hypothesis consisting of two parts, as follows: (1) a stress fiber aligns to avoid a mechanical stimulus in the fiber direction under cyclic deformation. This means that, among all allowable directions, a stress fiber aligns in the direction which minimizes the stimulus, i. e., the summation of the changes in length of the stress fiber over one stretch cycle; and (2) there is a limit in the sensitivity of the cellular response to the mechanical stimulus. Due to this sensing limit, the orientation angle in stress fibers is distributed around the angle corresponding to the minimum stimulus. To validate this hypothesis, we approximated an anisotropic deformation of the membrane on which cells were to be cultured. We then obtained the relationships between the stretch range and the fiber angle in the undeformed state which minimize the mechanical stimuli, assuming that the membrane on which stress fibers and cells adhered was homogeneous and incompressible. Numerical simulation results showed that the proposed hypothesis described our previous experimental results well and was consistent with the experimental results in the literature. The simulation results, taking account of the second part of the hypothesis with a small value for the limit in sensitivity to the mechanical stimulus, could explain why cell orientation is distributed so widely with cyclic stretch ranges of <10%. The proposed hypothesis can be applied to various types of deformation because the mechanical stimulus is always sensed and accumulates under cyclic deformation without the necessity of a reference state to measure the stimulus.     

Testing Neuronal Accounts of Anisotropic Motion Perception with Computational Modelling

There is an over-representation of neurons in early visual cortical areas that respond most strongly to cardinal (horizontal and vertical) orientations and directions of visual stimuli, and cardinal- and oblique-preferring neurons are reported to have different tuning curves. Collectively, these neuronal anisotropies can explain two commonly-reported phenomena of motion perception – the oblique effect and reference repulsion – but it remains unclear whether neuronal anisotropies can simultaneously account for both perceptual effects. We show in psychophysical experiments that reference repulsion and the oblique effect do not depend on the duration of a moving stimulus, and that brief adaptation to a single direction simultaneously causes a reference repulsion in the orientation domain, and the inverse of the oblique effect in the direction domain. We attempted to link these results to underlying neuronal anisotropies by implementing a large family of neuronal decoding models with parametrically varied levels of anisotropy in neuronal direction-tuning preferences, tuning bandwidths and spiking rates. Surprisingly, no model instantiation was able to satisfactorily explain our perceptual data. We argue that the oblique effect arises from the anisotropic distribution of preferred directions evident in V1 and MT, but that reference repulsion occurs separately, perhaps reflecting a process of categorisation occurring in higher-order cortical areas.     

The germ layer origin of mouse vaginal epithelium restricts its responsiveness to mesenchymal inductors: uterine induction

The epithelium of the mammalian vagina arises from two distinct germ layers, endoderm from the urogenital sinus and mesoderm from the lower fused Müllerian ducts. While previously it has been reported that neonatal vaginal epithelium can be induced to differentiate as uterus, which normally develops from the middle portion of the Müllerian ducts, it has not been determined whether this ability is shared by both mesoderm- and endoderm-derived vaginal epithelia. To test if germ layer origin influences the ability of vaginal epithelium to undergo uterine differentiation, we have isolated sinus-derived and Müllerian-derived vaginal epithelia from newborn mice, combined them with uterine mesenchyme, and grown them for 4 weeks in female mice. Mesoderm-derived Müllerian vaginal epithelium in combination with uterine mesenchyme formed the simple columnar epithelium typical of uterus. Similar results were obtained with neonatal cervical epithelium, another mesodermal Müllerian duct derivative. On the other hand, sinus vaginal epithelium combined with uterine mesenchyme formed small cysts lined by a stratified squamous vaginal-like epithelium. This epithelium never showed evidence of cycling between the cornified and mucified states as is typically seen in vaginal epithelium combined with vaginal stroma. These results indicate that the ability of epithelium to form uterus is limited to mesoderm-derived epithelia and suggest that endoderm-derived sinus vaginal epithelium cannot undergo the typical differentiative modifications in response to the hormonal fluctuations of the estrous cycle when associated with uterine stroma.     

Dependence of Subjective Traverse Length on Velocity of Moving Tactile Stimuli

Two series of experiments were performed to assess the effects of stimulus velocity on human subjects' perception of the distance traversed by a moving tactile stimulus. In all experiments, constant-velocity stimuli were applied to the dorsal surface of the left forearm; velocities ranging between 1.0 and 256 cm/sec were used. In some experiments the stimuli moved from distal to proximal over the skin, and in others they moved from proximal to distal. The length of skin contacted by the moving stimulus was defined by a plate having an aperture of 4.0 × 0.5 cm.

In the first series of experiments, subjects were required to compare the distance traversed by a test stimulus delivered 2 sec after a standard stimulus, and also to report the on-locus and the off-locus of the brushing stimulus. In the second series of experiments, the subjects rated the perceived distance on the skin using a free-magnitude-estimation procedure. The data from both series of experiments defined the same relationship between stimulus velocity and perceived stimulus distance. More specifically, although the length of skin contacted by the stimulus was the same at all velocities, subjects' estimates of stimulus distance decreased with increasing stimulus velocity. In addition, the function relating estimates of stimulus distance to velocity was flat for velocities between 5 and 20 cm/sec, but possessed an appreciable negative slope at lower and higher velocities.

It is interesting that the plateau of the relationship between perceived stimulus distance and velocity occurred within the range of velocities that human subjects employ to scan textured surfaces; it also corresponded precisely with the range of stimulus velocities at which the directional sensitivity of somatosensory cortical neurons and human subjects is optimal.     

The variation of two types of spatiotemporal organization of brain potentials at different stages of a cognitive set based on illusory perception of length (Muller-Layer illusion)

The spatiotemporal organization of brain potentials (STOP) under conditions of their multichannel recording was studied was studied in 35 young healthy subjects during formation, actualization, and extinction of the cognitive set on the basis of illusory perception of length (Müller-Layer illusion) by means of quantitative comparison of successive electroencephalotopograms (ET). The ET is an array of momentary values of potentials simultaneously recorded in all the derivations. An ET is characterized by a relief and mean level. Time changes in these characteristics determine a certain type of cortical STOP. Two main types of STOP were revealed. The interaction between these two types of STOP depended on the kind of performance of a subject and was ferlected in the coefficient of dynamic variation (CDV) of ETs. The CDVs were significantly different in subjects with stable and unstable forms of the cognitive set; in the latter this value was higher. The spectral characteristics of the EEG and STOP dynamics were compared. Analysis of power stectra revealed the significant intergroup differences in the alpha 1 frequency range both in the EEG and STOP; the power of this frequency range was higher in subjects with the stable set.     

The effect of alternative prey on the dynamics of imperfect Batesian and Müllerian mimicries

Both Batesian and Müllerian mimicries are considered classical evidence of natural selection where predation pressure has, at times, created a striking similarity between unrelated prey species. Batesian mimicry, in which palatable mimics resemble unpalatable aposematic species, is parasitic and only beneficial to the mimics. By contrast, in classical Müllerian mimicry the cost of predators' avoidance learning is shared between similar unpalatable co-mimics, and therefore mimicry benefits all parties. Recent studies using mathematical modeling have questioned the dynamics of Müllerian mimicry, suggesting that fitness benefits should be calculated in a way similar to Batesian mimicry; that is, according to the relative unpalatability difference between co-mimics. Batesian mimicry is very sensitive to the availability of alternative prey, but the effects of alternative prey for Müllerian dynamics are not known and experiments are rare. We designed two experiments to test the effect of alternative prey on imperfect Batesian and Müllerian mimicry complexes. When alternative prey were scarce, imperfect Batesian mimics were selected out from the population, but abundantly available alternative prey relaxed selection against imperfect mimics. Birds learned to avoid both Müllerian models and mimics irrespective of the availability of alternative prey. However, the rate of avoidance learning of models increased when alternative prey were abundant. This experiment suggests that the availability of alternative prey affects the dynamics of both Müllerian and Batesian mimicry, but in different ways.     

Contradictory Behavioral Biases Result from the Influence of Past Stimuli on Perception

Biases such as the preference of a particular response for no obvious reason, are an integral part of psychophysics. Such biases have been reported in the common two-alternative forced choice (2AFC) experiments, where participants are instructed to compare two consecutively presented stimuli. However, the principles underlying these biases are largely unknown and previous studies have typically used ad-hoc explanations to account for them. Here we consider human performance in the 2AFC tone frequency discrimination task, utilizing two standard protocols. In both protocols, each trial contains a reference stimulus. In one (Reference-Lower protocol), the frequency of the reference stimulus is always lower than that of the comparison stimulus, whereas in the other (Reference protocol), the frequency of the reference stimulus is either lower or higher than that of the comparison stimulus. We find substantial interval biases. Namely, participants perform better when the reference is in a specific interval. Surprisingly, the biases in the two experiments are opposite: performance is better when the reference is in the first interval in the Reference protocol, but is better when the reference is second in the Reference-Lower protocol. This inconsistency refutes previous accounts of the interval bias, and is resolved when experiments statistics is considered. Viewing perception as incorporation of sensory input with prior knowledge accumulated during the experiment accounts for the seemingly contradictory biases both qualitatively and quantitatively. The success of this account implies that even simple discriminations reflect a combination of sensory limitations, memory limitations, and the ability to utilize stimuli statistics.     

The meaning of the Weber-Fechner law and description of scenes in terms of neural networks

An attempt was made to determine to which functions of the visual cortex the Weber-Fechner law pertains. Pairs of lines were presented in different halves of the visual field. One of them was a reference line with an unchanged length, and the other (the test line) was of variable length. Psychometric curves reflecting the probability of the answer that the test line was longer than the reference one were plotted. A neuronal scheme for calculating the subjective reference stimulus, which differed from the objective reference stimulus, was proposed. The central zone of the visual field was determined. Two psychometric curves were obtained in the zone of each hemisphere. One of them was based on the results of tests where the test stimulus was presented above the reference stimulus and the other, on those where the test stimulus was below the reference one. The mutual positions of the curves were asymmetric in the hemispheres. One psychometric curve was obtained outside the central zone in each hemisphere. There was no dependence on the positions of the test and reference stimuli. The obtained data, according to which ΔL = const in the central zone and ΔL/L = const outside it, served as the basis for postulating the existence of three neuronal mechanisms. One of them is responsible for the interaction of neural networks between the hemispheres and serves for describing the scene, estimating the perspective, and determining the relative distances between objects. The second and third mechanisms are responsible for the interactions within the left and right hemispheres and serve only for describing the scene. Only the mechanism of describing the scene operates outside the central zone. It is assumed that the three postulated mechanisms, together with the mechanism of image recognition, create the visual image of the world perceived by the brain.     

Satiation in cutaneous saltation.

The extent of cutaneous saltation (the illusory displacement of a tap presented to one skin locus by another tap occurring close in time at another locus) was modified by a "preconditioning" stimulus presented prior to and at a site distant from the saltatory test pattern. The 10-sec vibratory preconditioning (PC) stimulus appears to be analogous to inspection figures that "satiate" the perceptual field in experiments on figural aftereffects, producing changes in the perceived size, position, or shape of subsequent stimuli. The direction of displacement of the saltatory phantom was always away from the locus of the prior PC stimulus, consistent with results observed in studies of visual and kinesthetic aftereffects. Th- amount of repulsion and the rate at which the saltatory phantom returned to its initial position depend on the intensity, locus, and number of PC stimuli. As with figural aftereffects, these results resist explanation by peripheral mechanisms such as adaptation.     

Experimental evidence for predator learning and Müllerian mimicry in Peruvian poison frogs (Ranitomeya,Dendrobatidae)

The evolution of mimicry is one of the most powerful examples of evolution driven by natural selection; however it is rare in non-insect taxa and thus is understudied. Ranitomeya imitator underwent a ‘mimetic radiation’ and now mimics three congeneric model species (R. fantastica, R. summersi, and two morphs of R. variabilis), creating geographically distinct populations of the species, including four allopatric mimetic morphs. These complexes are thought to represent a case of Müllerian mimicry, but no prior empirical studies on learned avoidance by predators support this claim. In this study we used young chickens (Gallus domesticus) as naïve predators to determine if a co-mimetic morph of R. imitator and R. variabilis contribute to reciprocal learned avoidance by predators—a key component of Müllerian mimicry. Chickens exposed to either stimulus species demonstrated reciprocal learned avoidance; thus our results indicate that this complex functions as a Müllerian mimicry system. This study provides novel empirical evidence supporting predictions of the Müllerian mimicry hypothesis in anurans. Our study shows no difference between learned avoidance in stimuli frogs and a ‘novel’ morph of R. imitator that differed in both color and pattern, indicating that learned avoidance by predators may be generalized in this system. Generalized learning provides a plausible mechanism for the maintenance of both polytypic mimicry and the maintenance of intrapopulation phenotypic heterogeneity.     

Cellular mechanisms of Müllerian duct formation in the mouse

Regardless of their sex chromosome karyotype, amniotes develop two pairs of genital ducts, the Wolffian and Müllerian ducts. As the Müllerian duct forms, its growing tip is intimately associated with the Wolffian duct as it elongates to the urogenital sinus. Previous studies have shown that the presence of the Wolffian duct is required for the development and maintenance of the Müllerian duct. The Müllerian duct is known to form by invagination of the coelomic epithelium, but the mechanism for its elongation to the urogenital sinus remains to be defined. Using genetic fate mapping, we demonstrate that the Wolffian duct does not contribute cells to the Müllerian duct. Experimental embryological manipulations and molecular studies show that precursor cells at the caudal tip of the Müllerian duct proliferate to deposit a cord of cells along the length of the urogenital ridge. Furthermore, immunohistochemical analysis reveals that the cells of the developing Müllerian duct are mesoepithelial when deposited, and subsequently differentiate into an epithelial tube and eventually the female reproductive tract. Our studies define cellular and molecular mechanisms for Müllerian duct formation.     

错觉图形组成成分间的亮度对比和颜色对比对错觉程度的影响

用定量的心理物理测量方法,研究了错觉图形组成成分间的亮度对比和颜色对比方位错觉、长度觉及面积错觉幅度的影响。测试结果表明：与通常的错觉效应相比,当错觉图形组成成分间存在亮度对比或颜色对比（等亮度）时,受试者的错觉程度明显降低;其中,当存在颜色对比时,方位错觉的下降幅度更为显著,达到６９．３％。此外还观察到,在单纯亮度对比条件下,只需１．８％和５．３％的低对比度即可分别产生轮廓和边缘错觉;但在等亮度