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Keywords = necker cube

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39 pages, 14986 KiB  
Case Report
Hypergraph Analysis of Functional Brain Connectivity During Figurative Attention
by Alexander N. Pisarchik, Natalia Peña Serrano, Walter Escalante Puente de la Vega and Rider Jaimes-Reátegui
Appl. Sci. 2025, 15(7), 3833; https://doi.org/10.3390/app15073833 - 31 Mar 2025
Cited by 1 | Viewed by 1206
Abstract
Hypergraph analysis extends traditional graph theory by enabling the study of complex, many-to-many relationships in networks, offering powerful tools for understanding brain connectivity. This case study introduces a novel methodology for constructing both graphs and hypergraphs of functional brain connectivity during figurative attention [...] Read more.
Hypergraph analysis extends traditional graph theory by enabling the study of complex, many-to-many relationships in networks, offering powerful tools for understanding brain connectivity. This case study introduces a novel methodology for constructing both graphs and hypergraphs of functional brain connectivity during figurative attention tasks, where subjects interpret the ambiguous Necker cube illusion. Using a frequency-tagging approach, we simultaneously modulated two cube faces at distinct frequencies while recording electroencephalography (EEG) responses. Brain connectivity networks were constructed using multiple measures—coherence, cross-correlation, and mutual information—providing complementary insights into functional relationships between regions. Our hypergraph analysis revealed distinct connectivity patterns associated with attending to different cube orientations, including previously unobserved higher-order relationships between brain regions. The results demonstrate bilateral cortico–cortical interactions and suggest integrated processing hubs that may coordinate visual attention networks. This methodological framework not only advances our understanding of the neural basis of visual attention but also offers potential applications in attention monitoring and clinical assessment of attention disorders. While based on a single subject, this proof-of-concept study establishes a foundation for larger-scale investigations of brain network dynamics during ambiguous visual processing. Full article
(This article belongs to the Special Issue Brain Functional Connectivity: Prediction, Dynamics, and Modeling)
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16 pages, 4615 KiB  
Article
Quantum-Inspired Neural Network Model of Optical Illusions
by Ivan S. Maksymov
Algorithms 2024, 17(1), 30; https://doi.org/10.3390/a17010030 - 10 Jan 2024
Cited by 10 | Viewed by 5747
Abstract
Ambiguous optical illusions have been a paradigmatic object of fascination, research and inspiration in arts, psychology and video games. However, accurate computational models of perception of ambiguous figures have been elusive. In this paper, we design and train a deep neural network model [...] Read more.
Ambiguous optical illusions have been a paradigmatic object of fascination, research and inspiration in arts, psychology and video games. However, accurate computational models of perception of ambiguous figures have been elusive. In this paper, we design and train a deep neural network model to simulate human perception of the Necker cube, an ambiguous drawing with several alternating possible interpretations. Defining the weights of the neural network connection using a quantum generator of truly random numbers, in agreement with the emerging concepts of quantum artificial intelligence and quantum cognition, we reveal that the actual perceptual state of the Necker cube is a qubit-like superposition of the two fundamental perceptual states predicted by classical theories. Our results finds applications in video games and virtual reality systems employed for training of astronauts and operators of unmanned aerial vehicles. They are also useful for researchers working in the fields of machine learning and vision, psychology of perception and quantum–mechanical models of human mind and decision making. Full article
(This article belongs to the Special Issue Applications of AI and Data Engineering in Science)
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2 pages, 187 KiB  
Abstract
Bistable Perception’s Oscillations Dynamics, Individual Differences and Cognitive Flexibility: A Behavioral Study
by Chiara Saracini
Biol. Life Sci. Forum 2022, 19(1), 13; https://doi.org/10.3390/IECBS2022-13742 - 25 Nov 2022
Viewed by 1577
Abstract
Perceptual oscillations between different interpretations of unchanging, ambiguous stimuli have been studied for decades, being that this special phenomenon is considered a key towards the understanding of perceptual awareness and, ultimately, consciousness. The finding that brain dynamics (as registered, for example, through magneto- [...] Read more.
Perceptual oscillations between different interpretations of unchanging, ambiguous stimuli have been studied for decades, being that this special phenomenon is considered a key towards the understanding of perceptual awareness and, ultimately, consciousness. The finding that brain dynamics (as registered, for example, through magneto- and electro-encephalography—M/EEG) of the spontaneous alternations between the percepts reflect the intrinsic dynamic properties of the (unconscious) perceptual processing impacts on many theoretical scenarios which consider perception as an inference process, and all other subserving cognitive processes as working in a coordinated and coherent way. Amongst cognitive processes, cognitive flexibility is the one sharing the most characteristics with the perceptual alternations, typical of bistable phenomena, these being the ability to change a rule or accordingly inhibit certain information differently between individuals; this “switching” ability has been shown to be correlated with the general “functioning” of a person (this, in turn, being reflected by the individual neural system organization and dynamics). A preliminary behavioral study (N = 26) has been performed to provide evidence that all these aspects are indeed correlated. Performances in computerized classic experimental paradigms (Stroop, Simon Task, Task-switching Tests, Wisconsin Card Sorting Test) have been correlated to perceptual switches and percept durations of spontaneous and voluntary alternations of the Necker Cube and with scores in Cognitive Flexibility, Barrat’s Impulsiveness, DASS-21, and the short version of the Big Five questionnaires. Future studies with EEG and brain connectivity measures can provide a more direct insight on the brain dynamics of this perceptual and cognitive processing, shedding light on the mechanisms at the basis of this supposed concerted coherent synchronization. Full article
(This article belongs to the Proceedings of The 3rd International Electronic Conference on Brain Sciences)
14 pages, 1115 KiB  
Article
Monitoring Brain State and Behavioral Performance during Repetitive Visual Stimulation
by Alexander K. Kuc, Semen A. Kurkin, Vladimir A. Maksimenko, Alexander N. Pisarchik and Alexander E. Hramov
Appl. Sci. 2021, 11(23), 11544; https://doi.org/10.3390/app112311544 - 6 Dec 2021
Cited by 10 | Viewed by 2152
Abstract
We tested whether changes in prestimulus neural activity predict behavioral performance (decision time and errors) during a prolonged visual task. The task was to classify ambiguous stimuli—Necker cubes; manipulating the degree of ambiguity from low ambiguity (LA) to high ambiguity (HA) changed the [...] Read more.
We tested whether changes in prestimulus neural activity predict behavioral performance (decision time and errors) during a prolonged visual task. The task was to classify ambiguous stimuli—Necker cubes; manipulating the degree of ambiguity from low ambiguity (LA) to high ambiguity (HA) changed the task difficulty. First, we assumed that the observer’s state changes over time, which leads to a change in the prestimulus brain activity. Second, we supposed that the prestimulus state produces a different effect on behavioral performance depending on the task demands. Monitoring behavioral responses, we revealed that the observer’s decision time decreased for both LA and HA stimuli during the task performance. The number of perceptual errors lowered for HA, but not for LA stimuli. EEG analysis revealed an increase in the prestimulus 9–11 Hz EEG power with task time. Finally, we found associations between the behavioral and neural estimates. The prestimulus EEG power negatively correlated with the decision time for LA stimuli and the erroneous responses rate for HA stimuli. The obtained results confirm that monitoring prestimulus EEG power enables predicting perceptual performance on the behavioral level. The observed different time-on-task effects on the LA and HA stimuli processing may shed light on the features of ambiguous perception. Full article
(This article belongs to the Special Issue Advances in Neuroimaging Data Processing)
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12 pages, 3457 KiB  
Article
Unveiling the Secrets of Escher’s Lithographs
by Primo Coltelli, Laura Barsanti and Paolo Gualtieri
J. Imaging 2020, 6(2), 5; https://doi.org/10.3390/jimaging6020005 - 21 Feb 2020
Cited by 2 | Viewed by 8050
Abstract
An impossible structure gives us the impression of looking at a three-dimensional object, even though this object cannot exist, since it possesses parts that are spatially non-connectable, and are characterized by misleading geometrical properties not instantly evident. Therefore, impossible artworks appeal to our [...] Read more.
An impossible structure gives us the impression of looking at a three-dimensional object, even though this object cannot exist, since it possesses parts that are spatially non-connectable, and are characterized by misleading geometrical properties not instantly evident. Therefore, impossible artworks appeal to our intellect and challenge our perceptive capacities. We analyzed lithographs containing impossible structures (e.g., the Necker cube), created by the famous Dutch painter Maurits Cornelis Escher (1898–1972), and used one of them (The Belvedere, 1958) to unveil the artist’s hidden secrets by means of a discrete model of the human retina based on a non-uniform distribution of receptive fields. We demonstrated that the ability of Escher in composing his lithographs by connecting spatial coherent details into an impossible whole lies in drawing these incoherent fragments just outside the zone in which 3D coherence can be perceived during a single fixation pause. The main aspects of our paper from the point of view of image processing and image understanding are the following: (1) the peculiar and original digital filter to process the image, which simulates the human vision process, by producing a space-variant sampling of the image; (2) the software for the filter, which is homemade and created for our purposes. The filtered images resulting from the processing are used to understand impossible figures. As an example, we demonstrate how the impossible figures hidden in Escher’s paintings can be understood. Full article
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37 pages, 8940 KiB  
Article
Symmetric Networks with Geometric Constraints as Models of Visual Illusions
by Ian Stewart and Martin Golubitsky
Symmetry 2019, 11(6), 799; https://doi.org/10.3390/sym11060799 - 16 Jun 2019
Cited by 7 | Viewed by 5284
Abstract
Multistable illusions occur when the visual system interprets the same image in two different ways. We model illusions using dynamic systems based on Wilson networks, which detect combinations of levels of attributes of the image. In most examples presented here, the network has [...] Read more.
Multistable illusions occur when the visual system interprets the same image in two different ways. We model illusions using dynamic systems based on Wilson networks, which detect combinations of levels of attributes of the image. In most examples presented here, the network has symmetry, which is vital to the analysis of the dynamics. We assume that the visual system has previously learned that certain combinations are geometrically consistent or inconsistent, and model this knowledge by adding suitable excitatory and inhibitory connections between attribute levels. We first discuss 4-node networks for the Necker cube and the rabbit/duck illusion. The main results analyze a more elaborate model for the Necker cube, a 16-node Wilson network whose nodes represent alternative orientations of specific segments of the image. Symmetric Hopf bifurcation is used to show that a small list of natural local geometric consistency conditions leads to alternation between two global percepts: cubes in two different orientations. The model also predicts brief transitional states in which the percept involves impossible rectangles analogous to the Penrose triangle. A tristable illusion generalizing the Necker cube is modelled in a similar manner. Full article
(This article belongs to the Special Issue Symmetry and Dynamical Systems)
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13 pages, 1007 KiB  
Article
Multistable Perception in Older Adults: Constructing a Whole from Fragments
by Khushi Patel and Maureen Reed
Brain Sci. 2016, 6(1), 10; https://doi.org/10.3390/brainsci6010010 - 22 Mar 2016
Cited by 4 | Viewed by 6820
Abstract
Visual perception is constructive in nature; that is, a coherent whole is generated from ambiguous fragments that are encountered in dynamic visual scenes. Creating this coherent whole from fragmented sensory inputs requires one to detect, identify, distinguish and organize sensory input. The organization [...] Read more.
Visual perception is constructive in nature; that is, a coherent whole is generated from ambiguous fragments that are encountered in dynamic visual scenes. Creating this coherent whole from fragmented sensory inputs requires one to detect, identify, distinguish and organize sensory input. The organization of fragments into a coherent whole is facilitated by the continuous interactions between lower level sensory inputs and higher order processes. However, age-related declines are found in both neural structures and cognitive processes (e.g., attention and inhibition). The impact of these declines on the constructive nature of visual processing was the focus of this study. Here we asked younger adults, young-old (65–79 years), and old-old adults (80+ years) to view a multistable figure (i.e., Necker cube) under four conditions (free, priming, volition, and adaptation) and report, via a button press, when percepts spontaneously changed. The oldest-olds, unlike young-olds and younger adults, were influenced by priming, had less visual stability during volition and showed less ability to adapt to multistable stimuli. These results suggest that the ability to construct a coherent whole from fragments declines with age. More specifically, vision is constructed differently in the old-olds, which might influence environmental interpretations and navigational abilities in this age group. Full article
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14 pages, 741 KiB  
Article
Evidence for Obliqueness of Angles as a Cue to Planar Surface Slant Found in Extremely Simple Symmetrical Shapes
by Casper J. Erkelens
Symmetry 2015, 7(1), 241-254; https://doi.org/10.3390/sym7010241 - 9 Mar 2015
Cited by 6 | Viewed by 7975
Abstract
The Necker cube is a striking example for perceptual dominance of 3D over 2D. Object symmetry and obliqueness of angles are co-varying cues that may underlie the perceived slant of Necker cubes. To investigate the power of the oblique-angle cue, slants were judged [...] Read more.
The Necker cube is a striking example for perceptual dominance of 3D over 2D. Object symmetry and obliqueness of angles are co-varying cues that may underlie the perceived slant of Necker cubes. To investigate the power of the oblique-angle cue, slants were judged of extremely simple symmetrical shapes. Slant computations based on an assumption of orthogonality were made for two abutting lines as a function of vertex angle and the slant of the screen. Computed slants were compared with slants judged by six subjects under binocular viewing conditions. Judged slant was highly correlated with slant specified by the oblique angles under an assumption of orthogonality. The contributions of screen cues, including binocular disparity, were negligible. The consistency of the judgments across subjects indicates the assumption of orthogonality as one of the principles underlying slant perception. Necker cubes illustrate that the visual system can disengage unambiguous cues in favor of ambiguous object-symmetry and oblique-angle cues, if the latter indicate very different slants. Selective disengagement of cues may be the mechanism that underlies the success of 2D images in ancient, as well as modern civilizations. Full article
(This article belongs to the Special Issue Symmetry: Theory and Applications in Vision)
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