Geometrical Illusions Research Articles

Combined manifestation of two geometric visual illusions.

The present study continued to investigate whether the effects of length misperception caused by cross-shaped (formed by two pairs of the oppositely oriented Müller-Lyer wings) contextual distractors can be explained by the combined manifestation of two different (i.e., the Müller-Lyer and filled-space) geometric illusions of extent. In psychophysical experiments, the luminance of one pair of wings was randomly changed, while the luminance of the other pair remained constant. Two different distractor orientations were used-when the wings with constant luminance formed the right side of the cross or the left side, otherwise. To separately evaluate the manifestation of the Müller-Lyer illusion under different luminance conditions, two distracting crosses of the same orientation were attached to the lateral stimulus terminators in the first series of experiments. In the following four series, a single distracting cross (with different orientation) was attached to one of the lateral stimulus terminators and various combinations of the constant and background luminance were used. To interpret the experimental data, we used the basic computational principles of previously developed quantitative models of hypothetical visual mechanisms underlying the emergence of the Müller-Lyer illusion and the filled-space illusion. It was shown that the results of theoretical calculations adequately approximate the experimental curves obtained for all modifications of stimuli, which strongly supports the suggestion that the joint manifestations of these two illusions can be considered among the main factors determining the features of the illusion investigated.

The Ames room and the misunderstood versions and depictions.

The Ames room illusion is one of the best-known geometrical illusions but its geometrical properties are often misunderstood. This study discusses the differences in the geometrical properties between the original Ames room and what have been often referred to as "Ames rooms" in recent studies.

An attentional approach to geometrical illusions.

It is known for a long time that some drawings composed of points, lines, and areas are systematically misperceived. The origin of these geometrical illusions is still unknown. Here we outline how a recent progress in attentional research contributes to a better understanding of such perceptual distortions. The basic idea behind this approach is that crucial elements of a drawing are differently attended. These changes in the allocation of spatial attention go along with systematic changes in low-level spatial coding. As a result, changes in the perception of spatial extent, angles, positions, and shapes can arise. How this approach can be applied to individual illusions is discussed.

Are you as fooled as I am? Visual illusions in human (Homo) and nonhuman (Sapajus, Gorilla, Pan, Pongo) primate species.

It has been argued that humans' susceptibility to visual illusions does not simply reflect cognitive flaws but rather specific functional adaptations of our perceptual system. The data on cross-cultural differences in the perception of geometric illusions seemingly support this explanation. Little is known, however, about the developmental trajectories of such adaptations in humans, let alone a conclusive picture of the illusionary susceptibility in other primate species. So far, most developmental or comparative studies have tested single illusions with varying procedural implementations. The current study aims at overcoming these limitations by testing human subjects of four different age classes (3- to 5 year-old children and adults) and five nonhuman primate species (capuchin monkeys, bonobos, chimpanzees, gorillas, and orangutans) with an identical setup in five well-known geometric illusions (horizontal-vertical, Ebbinghaus, Mueller-Lyer, Ponzo, and Sander). Two food items of identical size were presented on separate trays with surrounding paintings eliciting the illusion of size differences and subjects were required to choose one of the items. Four of the five illusions elicited a strong effect in adult humans, and older children showed a greater susceptibility to illusions than younger ones. In contrast, only two illusions (Ebbingaus and horizontal-vertical) elicited a mild effect on nonhuman primates with high variation within species and little variation between species. Our results suggests that humans learn to see illusions as they develop during childhood. They also suggest that future work should address how nonhuman primates' experience of these illusion changes throughout their development. (PsycInfo Database Record (c) 2022 APA, all rights reserved).

Reduced likelihood of the Poggendorff illusion in cerebellar strokes: a clinical and neuroimaging study.

This study aimed to test our hypothesis that the cerebellum plays an important role in the generation of the optical-geometric illusion known as the Poggendorff illusion, the mechanism of which has been explained by accumulated experience with natural scene geometry. A total of 79 participants, comprising 28 patients with isolated cerebellar stroke, 27 patients with isolated cerebral stroke and 24 healthy controls, performed Poggendorff illusion tasks and 2 different control tasks. We also investigated core brain regions underpinning changes in the experience of the illusion effect using multivariate lesion-symptom mapping. Our results indicate that patients with isolated cerebellar stroke were significantly less likely to experience the Poggendorff illusion effect than patients with isolated cerebral stroke or healthy controls (74.6, 90.5 and 89.8%, respectively; F(2,76) = 6.675, P = 0.002). However, there were no inter-group differences in the control tasks. Lesion-symptom mapping analysis revealed that the brain lesions associated with the reduced frequency of the Poggendorff illusion effect were mainly centred on the right posteromedial cerebellar region, including the right lobules VI, VII, VIII, IX and Crus II. Our findings demonstrated, for the first time, that patients with cerebellar damage were significantly less likely to experience the Poggendorff illusion effect and that right posteromedial cerebellar lesions played an important role in this effect. These results provide new insight into alterations of a geometric illusion effect in patients with cerebellar disorders and pave the way for future clinical use of the illusion task to detect cerebellar abnormalities.

The long and short of it? A novel geometric illusion.

Here we present what we believe to be a novel geometric illusion where identical lines are perceived as being of differing lengths. Participants were asked to report which of the two parallel rows of horizontal lines contained the longer individual lines (two lines on one row and 15 on the other). Using an adaptive staircase we adjusted the length of the lines on the row containing two to estimate the point of subjective equality (PSE). At the PSE, the two lines were consistently shorter than the row containing the fixed length of 15 lines demonstrating a disparity in perceived length such that lines of identical length are perceived as longer in a row of two than in a row of 15. The illusion magnitude was unaffected by which row was presented above the other. Additionally, the effect persisted when using one as opposed to two test lines, and when the line stimuli on both rows were presented with alternating luminance polarity the illusion magnitude decreased, but was not abolished. The data indicate a robust geometric illusion that may be modulated by perceptual grouping processes.

Study of Geometric Illusory Visual Perception - A New Perspective in the Functional Evaluation of Children With Strabismus.

Despite the various perceptual-motor deficits documented in strabismus, there is a paucity of studies evaluating visual illusions in patients with strabismus. The aim of this study was to examine how the illusionary perception occurs in children/adolescents (10–15 years old) with strabismus with referral for surgery to correct ocular deviations. A controlled cross-sectional study was carried out in which 45 participants with strabismus and 62 healthy volunteers aged 10–15 years were evaluated. The behavioral response to three geometric illusions [Vertical-Horizontal illusion, Müller-Lyer illusion (Bretano version) and Ponzo illusion] and respective neutral stimuli (non-illusory images) regarding the estimation of image size and response time were measured using the Method of Adjustment. To analyze the influence of secondary factors: type of ocular deviation (convergent, divergent or associated with vertical deviation); amount of eye deviation; presence of amblyopia and stereopsis, a one-way ANOVA was performed. Among the tested illusions, children with strabismus showed greater susceptibility (p = 0.006) and response time (p = 0.004) to Ponzo’s illusory images. Children with strabismus and preserved stereopsis, on the other hand, showed similar susceptibility and response time to control group patients to the Ponzo illusion (p < 0.005). Patients with amblyopia showed overcorrection in the estimate of non-illusory Ponzo images (p = 0.046). Children with horizontal ocular deviation (esotropia or exotropia) associated with vertical deviation (hypertropia, DVD and/or alphabetical anisotropy) showed higher susceptibility to vertical adjustment images for the Müller-Lyer illusion (Brentano version) (p = 0.017). Individuals with strabismus tended to overcorrect the length of the straight-line segment adjusted for non-illusory images when testing non-illusory images in the Müller-Lyer test (Brentano version) (p = 0.009), as well as for the neutral images in the Vertical-Horizontal test (p = 0.000). The findings indicated impairment in the perception of geometric illusions and neutral figures, especially for the Ponzo illusion test by children with strabismus. As the behavioral response to illusory images may indirectly reflect the visual and morphofunctional alterations present in these individuals, we suggest that the investigation of visual illusory perception can be used as a new research strategy in the field of investigating the visual function in strabismus.

Geometry of radio pulsar signals: The origin of pulsation modes and nulling

Radio pulsars exhibit an enormous diversity of single pulse behaviour that involves sudden changes in pulsation mode and nulling occurring on timescales of tens or hundreds of spin periods. The pulsations appear both chaotic and quasi-regular, which has hampered their interpretation for decades. Here I show that the pseudo-chaotic complexity of single pulses is caused by the viewing of a relatively simple radio beam that has a sector structure traceable to the magnetospheric charge distribution. The slow E × B drift of the sector beam, when sampled by the line of sight, produces the classical drift-period-folded patterns known from observations. The drifting azimuthal zones of the beam produce the changes in pulsation modes and both the intermodal and sporadic nulling at timescales of beating between the drift and the star spin. The axially symmetric conal beams are thus a superficial geometric illusion, and the standard carousel model of pulsar radio beams does not apply. The beam suggests a particle flow structure that involves inward motions with possible inward emission.

On the origin of the Ebbinghaus illusion: The role of figural extent and spatial frequency of stimuli

An object is perceived as larger when it is surrounded by smaller context objects than when it is surrounded by larger context objects. The origin of this well-known phenomenon, called as Ebbinghaus or Titchener circles illusion, is still puzzling. Here we introduce a basic explanation of how this illusion could emerge and provide some preliminary empirical support for this idea. In essence, we suggest that changes in the figural extent and in the spatial frequency of the stimulus pattern entail adjustments of the size and resolution of the attentional field, which are accompanied by changes in spatial coding. This approach is consistent with previous observations and can enable a deeper understanding of geometric illusions.

Diverse patterns of vulnerability to visual illusions in children with neurodevelopmental disorders.

Research on how children with neurodevelopmental disorders perceive, process, and interpret visual illusions (VIs) has been extensively focused on children with autism spectrum disorder providing controversial findings. In this study, we investigated the patterns of vulnerability to a wide set of VIs comprising 23 standard text book VIs and their variations in a clinical sample of children with neurodevelopmental disorders compared to typically developing children (TD). A total of 176 children, aged between 4.6 and 13.8years old, were distributed into four groups: high-functioning autism (HFA; N = 23), attention-deficit/hyperactivity disorder (ADHD; N = 42), specific learning disorder (SLD; N = 70), and TD (N = 41). Regression models, adjusted for sex, age, and non-verbal IQ, showed that HFA was associated with greater responses accuracy than TD children to the full battery of VIs, to the cognitive illusions, to the distortions, and to both geometrical illusions of size/shape (cognitive distortions) and lightness contrast effects (physical distortions). The susceptibility of ADHD children was found attenuated for illusory contours and greater for paradoxical illusions in comparison with TD children. No significant differences were shown between the SLD group and the TD children. Our findings, which were adjusted for the same duration of visual working memory across groups, showed that there is a potential specific tendency of HFA children to failure of processing visual information in context. Contrarily, children with ADHD showed in general normal global processing such as children diagnosed with SLD.

Dynamic presentation boosts the Ebbinghaus illusion but reduces the Müller-Lyer and orientation contrast illusions.

Mruczek et al. (2015) showed that a moving version of the Ebbinghaus illusion almost doubles in strength compared to the standard version. In their stimulus, the size of the surrounding inducers was modulated between large and small and the whole stimulus was made to drift during the surround modulation. We first replicated the original dynamic Ebbinghaus illusion and then explored dynamic presentations for other simultaneous contrast and geometric illusions. We found no increase in illusion strength in any that we sampled. Here we report the results for the Müller-Lyer illusion and the orientation contrast illusion. Surprisingly, when these two illusions were presented dynamically, their effects were greatly reduced for the Müller-Lyer illusion and eliminated for the orientation contrast illusion.

Methodological Challenges in the Assessment of Dogs' (Canis lupus familiaris) Susceptibility of the Ebbinghaus-Titchener Illusion Using the Spontaneous Choice Task

Visual illusions represent an innovative method to investigate animal visual perception. One well known geometric illusion is the Ebbinghaus-Titchener illusion, which consists of two identically sized target circles with one surrounded by large inducer circles and the other surrounded by small inducer circles. Humans are susceptible to this illusion, underestimating the size of the target circle surrounded by larger inducers and overestimating the size of the target circle surrounded by smaller inducers. In the present study, we investigated whether pet dogs (Canis lupus familiaris) perceive the Ebbinghaus-Titchener illusion in a spontaneous choice task by adapting and replicating the methodology of Miletto Petrazzini et al. (2017). Twenty-five pet dogs were presented with two stimuli in which a food reward was embedded. Each subject participated in 18 total trials, 12 size discrimination control trials (where one food reward was larger than the other) and six illusion trials (where identically sized food rewards were presented). Dogs, as a group, failed to demonstrate a significant preference for the larger food reward in control trials, and demonstrated null susceptibility, performing at chance, in the illusion trials. The chance performance on controls prevents further interpretation regarding canine illusion susceptibility; however, it invokes a discussion regarding the methodological challenges associated with conducting spontaneous-choice tasks. In an attempt to provide guidance for future research, we provide a review of canine illusion susceptibility to the Ebbinghaus-Titchener illusion and detailed recommendations to help mitigate extraneous factors to help further research of animal illusion susceptibility.

Pelvic Sagittal Torsion Caused by Induced Leg Length Discrepancy: Geometrical Illusion May Influence Measures Based on Superior-iliac Spines Positions

ObjectiveTo investigate whether a common measure of sagittal pelvic torsion based on the superior iliac spines behave similarly to predictions of a rigid (non-torsioned) plane, when leg length discrepancies (LLD) are induced. MethodTwenty-four young asymptomatic participants were subjected to pelvic posture measurements that use the anterior-superior iliac spines (ASISs) and posterior-superior iliac spines (PSISs) as references, while standing on level ground and with a one-, two- and three-centimeter lifts under the left foot. A special caliper with digital inclinometers was used. The following angles were measured: angles of the right and left PSIS-to-ASIS lines; right-left relative angle (RLRA), as the angle between the right and left PSIS-to-ASIS lines, which is a traditional lateral-view measure intended to detect sagittal torsions; angle of the inter-ASISs line; angle of the inter-PSISs line; anterior-posterior relative angle (APRA), as the angle between the inter-ASISs and inter-PSISs lines. According to trigonometric predictions based on the geometry given by the lines linking the superior iliac spines (i.e. a trapezoid plane), a pure lateral tilt of the pelvis, without interinnominate sagittal motion, would change RLRA in a specific direction and would not change APRA. ResultsRepeated-measures ANOVAs revealed that RLRA (p<0.001) and right and left PSIS-to-ASIS angles (p≤0.001) changed, and APRA did not change (p=0.33), as predicted. ConclusionsAt least part of the sagittal torsion detected by measures that assume the PSIS-to-ASIS angles as the sagittal angles of the innominates is due to pelvic geometry and not to the occurrence of actual torsion, when LLDs are induced.

The Visual Illusion of the Game Interface*_Take Monument Vally as an example

As a novel and unique visual form, visual illusion enriches the visual perception of the audience with its vivid and interesting visual charm from beginning to end. “Monument Valley” a large number of the use of visual illusion principle, in which perspective illusion, geometric illusion and light and dark illusion for players to bring a different visual experience, combined with the game picture of the unit object scattered reconstruction, the application of visual illusion in this game has jumped.

Translating 2D Geometric Illusions for 3D Contexts

This paper describes the creation and evaluation of four novel, interactive objects that have been used to evaluate the effectiveness of 2D optical illusions within 3D objects. Illusions are recognised as a key means to understand how one processes visual input and perceives the world around them. A huge number of 2D illusions have been generated from the 18th century onwards, and a significant body of work exists that explores their characteristics, classifications, and operations. This paper identifies and selects four established 2D geometric illusions and explores their viability as 3D objects. A controlled experiment was conducted to ascertain whether they retained their perceptive illusory strength. A sample population of 30 participants was used and their interaction with purpose-built models was measured. Means are discussed whereby the illusions can be utilised in product design to either emphasise or counteract optical effects in geometric form.

A review of the footsteps illusion

Studies on the footsteps illusion proposed by Anstis (2001) and its variants are reviewed in this article. The footsteps illusion has been explained as a difference in perceived speed depending on edge contrast (Thompson, 1982). In addition to this explanation, it is suggested that the footsteps illusion and its variants can also be attributed to the geometrical illusion presented by Gregory and Heard (1983), to the extinction effect similar to hidden images by Wade (1990), and to subsequent position or motion captures. Related illusions, for example, the kickback illusion (Howe, Thompson, Anstis, Sagreiya, &amp; Livingstone, 2006), the kick-forward illusion, the driving-on-a-bumpy-road illusion, or the footsteps illusion based upon reverse phi motion, are discussed in this article.

Individual Differences in Perceptual Organization: Reanalyzing Thurstone’s classic (1944) data and rediscovering factors for geometrical illusions, perceptual switching, and holistic ‘Gestalt’ closure

Individual Differences in Perceptual Organization: Reanalyzing Thurstone’s classic (1944) data and rediscovering factors for geometrical illusions, perceptual switching, and holistic ‘Gestalt’ closure

Utilizing optical illusions for creative form finding

ABSTRACT Geometrical illusions are an intrinsic part of human perception but largely ignored in product design. This paper analyzes user perception of a functional, ubiquitous object – the plastic bottle – to provide new insights on how geometrical illusions can be harnessed for creative form finding based on the designer’s intent. Through the examination of 24 different bottles, a range of characteristics and properties are classified. A subset of five representative bottles are then used to explore user perceptions of form, relating these to geometrical design features. The main findings, based on observational tests and user feedback, suggest an overestimation of volumes in bottles that are taller, have wider shoulder angles, or have less occluded patterns. Furthermore, a number of prevalent features are considered in relation to optical illusions which can affect perception. Using these findings, design strategies and guidelines are suggested for creative form development and the utilization of geometrical illusions more widely.

Оцінка впливу колірного і графічного оформлення контенту сайту на його конверсію

Показана фізіологія впливу колірної палітри сайту на психологію користувача і, як наслідок, на його конверсію. Показано, що оптичні, геометричні ілюзії і колірний контраст є основними факторами, які спотворюють колірну палітру сайту. Запропоновано алгоритм оцінки кольорової палітри сайтів на основі теоретико-множинного підходу і сформульовані рекомендації по її корекції.

Dissociation of perceived size and perceived strength in the scintillating grid illusion

The scintillating grid illusion is a geometric visual illusion where illusory dark spots are perceived on white circular patches that are located at the intersections of a grid pattern. Previous studies have measured the perceived strength of the illusory spots by varying stimulus and viewing conditions, to elucidate the mechanisms underlying the illusion; however, findings remain inconclusive. In the present study, we measured the perceived size of the illusory spots, in addition to their perceived strength, by varying the size of the geometric components and the orientation of the stimulus, to further investigate the mechanism behind this illusion. We found that the dependency of perceived spot size on the change of the stimulus parameters is dissociated from that of the perceived spot strength. The perceived size of the illusory spots linearly correlated with the size of the white patches and was less dependent on the width of the grid bars and the orientation of the stimulus, while the perceived strength was characterized by a quadratic relationship with patch size and bar width and was monotonically modulated depending on the orientation of the stimuli. These results suggest that different factors separately constrain size and strength within the processes that elicit the illusory spots. We propose that the mechanism underlying the scintillating grid illusion is based on the interruption of the surface formation process of white patches by the interference of the orientation signals of gray bars.