Geometric–optical illusions and Riemannian geometry

Ehm, Werner; Wackermann, Jiřı́

doi:10.1016/j.jmp.2016.01.005

Cited by 8 publications

(3 citation statements)

References 42 publications

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“…Models of this type have been proposed in 1971 by Hoffmann in terms of orbits of a Lie group acting on the plane [35], and by Smith [60] in terms of differential equations. More recently Ehm and Wackermann in [26] and [27] provided a variational approach expressed by a functional dependent on length of the curve and the deflection from orthogonality along the curve. These approaches do not take into account the underlying neurophysiological mechanisms.…”

Section: Mathematical Models Proposed In Literaturementioning

confidence: 99%

Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group

Franceschiello

Mashtakov

Citti

et al. 2019

Differential Geometry and its Applications

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We present a neuro-mathematical model for geometrical optical illusions (GOIs), a class of illusory phenomena that consists in a mismatch of geometrical properties of the visual stimulus and its associated percept. They take place in the visual areas V1/V2 whose functional architecture have been modelled in previous works by Citti and Sarti as a Lie group equipped with a sub-Riemannian (SR) metric. Here we extend their model proposing that the metric responsible for the cortical connectivity is modulated by the modelled neuro-physiological response of simple cells to the visual stimulus, hence providing a more biologically plausible model that takes into account a presence of visual stimulus. Illusory contours in our model are described as geodesics in the new metric. The model is confirmed by numerical simulations, where we compute the geodesics via SR-Fast Marching.

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Section: Mathematical Models Proposed In Literaturementioning

confidence: 99%

Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group

Franceschiello

Mashtakov

Citti

et al. 2019

Differential Geometry and its Applications

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“…We decided to include only those categorized as geometrical (Corridor, Delboeuf, Ebbinghaus, Horizontal–vertical, Jastrow, Müller−Lyer, Ponzo, Sander and Zöllner; figure 1 for examples of each), which are among the most popular choices for animal testing. Ehm & Wackermann [ 19 ] define geometric illusions as those in which the geometrical properties of an object (length, angle, size, etc.) are affected and systematically altered by the presence of other elements in the visual field.…”

Section: Introductionmentioning

confidence: 99%

Response to geometrical visual illusions in non-human animals: a meta-analysis

Bánszegi,

Rosetti,

Olivares

et al. 2024

Proc. R. Soc. B.

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Visual illusions have been studied in many non-human species, spanning a wide range of biological and methodological variables. While early reviews have proved useful in providing an overview of the field, they have not been accompanied by quantitative analysis to systematically evaluate the contribution of biological and methodological moderators on the proportion of illusory choice. In the current meta-analytical study, we confirm that geometrical visual illusion perception is a general phenomenon among non-human animals. Additionally, we found that studies testing birds report stronger illusion perception compared to other classes, as do those on animals with lateral-positioned eyes compared to animals with forward-facing eyes. In terms of methodological choices, we found a positive correlation between the number of trials during training or testing and the effect sizes, while studies with larger samples report smaller effect sizes. Despite studies that trained animals with artificial stimuli showing larger effect sizes compared with those using spontaneous testing with naturalistic stimuli, like food, we found more recent studies prefer spontaneous choice over training. We discuss the challenges and bottlenecks in this area of study, which, if addressed, could lead to more successful advances in the future.

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“…Geometric-Op Illusions are a subclass of visual distortions. In Geometric-Op Illusions, geometric properties of a stimulus relate to lengths, angles, areas, or forms (Ehm & Wackermann, 2016). Twelve Geometric-Op artworks from different art fields, such as painting, sculpture, and woodwave, that demonstrate strong visual illusions were selected as final inspirations.…”

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confidence: 99%

Synthesis of the Art of Science and Innovative Technologies in Creative Apparel Design

Jiang

Zhang

2020

Pivoting for the Pandemic

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Introduction. Elements of time, motion, space, optics, and perception can be found in both artists' works and scientific research. Even if the scientific analysis may be applied to optical (Op) art, the artist may not always use rich scientific research to approach his/her work. Op art is the essence of art, relying on complete abstraction (Parola, 1969), and is a form of visual expression (Lancaster, Palmer & Cowdell, 1973). Inspired by the interdisciplinary nature of Op art, this apparel design research mainly focused on using innovative technologies, laser cutting and digital printing, to apply the art of science to the expression of creative apparel design. The final result of this apparel design research was a final collection called "Visual Games." The three-step design process model developed by LaBat and Sokoloskwi (1999) was used as a framework for the design process and involved: 1) problem definition and research, 2) creative exploration, and 3) implementation. Implementation.Step 1: Problem definition and research. The main questions for this research project regarded which artwork should be used as inspiration for the Op art print design to present the artworks by fabric. Geometric-Op Illusions are a subclass of visual distortions. In Geometric-Op Illusions, geometric properties of a stimulus relate to lengths, angles, areas, or forms (Ehm & Wackermann, 2016). Twelve Geometric-Op artworks from different art fields, such as painting, sculpture, and woodwave, that demonstrate strong visual illusions were selected as final inspirations. In these Geometric-Op patterns, geometric shapes (e.g., curves, triangles, and irregular polygons) underwent regular perspective repetition. Each regular change would cause the displacement of a single repeat pattern to change or become proportional to a specific value difference. The designer chose to apply innovative technologies, such as laser cutting and digital textile printing, for assisting in the creation of this series of designs to achieve the best illusion patterns. When laser cutting and digital textile printing were combined with Adobe Illustrator, the Op patterns were able to be accurately transferred onto the fabrics. Laser cutting technology has the unique characteristic of enabling a thermal sealing cutting edge on synthetic fabrics, which can block each cut edge cleanly so as to assemble these cut strips into a clean and complete Op Illusion pattern. Similarly, digital printing allows precise printing of detailed and complex Op patterns onto fabrics.Step 2: Creative exploration. This process aimed to involve concept development and experimentation in creating the collection. Design ideas were built on three stages: Op Art motif creation, fabric manipulation, and silhouette creation. In the concept development work section, a few works of Geometric Op Art were selected as an initial inspiration for designing textile motif patterns. Next, fabric manipulation techniques were researched in order to determine appropriate methods for implementing the initia...

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Geometric–optical illusions and Riemannian geometry

Cited by 8 publications

References 42 publications

Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group

Geometrical optical illusion via sub-Riemannian geodesics in the roto-translation group

Response to geometrical visual illusions in non-human animals: a meta-analysis

Synthesis of the Art of Science and Innovative Technologies in Creative Apparel Design

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