Framelet analysis of some geometrical illusions

H Arai, S Arai - Japan journal of industrial and applied mathematics, 2010 - Springer
Framelet analysis of some geometrical illusions Page 1 Japan J. Indust. Appl. Math. (2010)
27:23–46 DOI 10.1007/s13160-010-0009-6 ORIGINAL PAPER Area 1 Framelet analysis of …

A neuromathematical model for geometrical optical illusions

B Franceschiello, A Sarti, G Citti - Journal of Mathematical Imaging and …, 2018 - Springer
Geometrical optical illusions have been object of many studies due to the possibility they
offer to understand the behavior of low-level visual processing. They consist in situations in …

Triangular labyrinth fractals

LL Cristea, P Surer - Fractals, 2019 - World Scientific
We define and study a class of fractal dendrites called triangular labyrinth fractals. For the
construction, we use triangular labyrinth pattern systems, consisting of two triangular …

Straightness as the main factor of the Hermann grid illusion

J Geier, L Bernáth, M Hudák, L Séra - Perception, 2008 - journals.sagepub.com
The generally accepted explanation of the Hermann grid illusion is Baumgartner's
hypothesis that the illusory effect is generated by the response of retinal ganglion cells with …

Processing of visual illusions in the frequency and spatial domains

MF Becker, J Knopp - Perception & Psychophysics, 1978 - Springer
In the results we report here, complex periodic and aperiodic illusions are revealed by
filtering with filters containing one or more straight edges. Positive definite filters are used …

Mathematical analysis of the visual illusion

N Kawabata - IEEE Transactions on systems, man, and …, 1976 - ieeexplore.ieee.org
Some geometrical visual illusions are analyzed in terms of the perceptual field.
Psychological distance, which differs from physical distance, is introduced to explain the …

The tilted Hermann grid illusion:'illusory spots' versus 'phantom bands'

K Hamburger, F Baier, L Spillmann - Perception, 2012 - journals.sagepub.com
The Hermann grid illusion became a cause célèbre, when it was reported that small figural
changes from straight to curved bars abolish the dark illusory spots. We demonstrate that …

Computer simulation of crossing line based geometric illusions

L Dai, J Yu - IOP Conference Series: Materials Science and …, 2019 - iopscience.iop.org
Computer modelling of visual illusions may offer useful insights into visual illusions from
different perspectives. Focusing on crossing line based geometric illusions where target …

Geometrical illusions: study and modelling

A Bulatov, A Bertulis, L Mickienė - Biological Cybernetics, 1997 - Springer
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 …

Realization of geometric illusions using artificial visual model based on acute-angled expansion among crossing lines

T Ogawa, T Minohara, H Kanada… - IJCNN'99. International …, 1999 - ieeexplore.ieee.org
The geometric illusions are interesting phenomena when dealing with one's ability of spatial
recognition of the human being. In the engineering purpose, it is often assumed that the …